Josh's bookshelf: all en-US Sun, 16 Mar 2025 08:29:17 -0700 60 Josh's bookshelf: all 144 41 /images/layout/goodreads_logo_144.jpg <![CDATA[Mind Tools: The Five Levels of Mathematical Reality]]> 274055 328 Rudy Rucker 0395468108 Josh 0 to-read 4.07 1987 Mind Tools: The Five Levels of Mathematical Reality
author: Rudy Rucker
name: Josh
average rating: 4.07
book published: 1987
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<![CDATA[First Course in Probability, A]]> 40139315 Explores both the mathematics and the many potential applications of probability theory A First Course in Probability is an elementary introduction to the theory of probability for students in mathematics, statistics, engineering, and the sciences. Through clear and intuitive explanations, it presents not only the mathematics of probability theory, but also the many diverse possible applications of this subject through numerous examples. The 10th Edition includes many new and updated problems, exercises, and text material chosen both for interest level and for use in building student intuition about probability.
0134753119 / 9780134753119 A First Course in Probability, 10/e]]>
528 Sheldon M. Ross 0134753119 Josh 0 to-read 3.83 1976 First Course in Probability, A
author: Sheldon M. Ross
name: Josh
average rating: 3.83
book published: 1976
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Statistical Inference 20335496 660 George Casella Josh 0 to-read 3.78 2001 Statistical Inference
author: George Casella
name: Josh
average rating: 3.78
book published: 2001
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<![CDATA[Matrix Computations (Johns Hopkins Studies in the Mathematical Sciences, 3)]]> 17082790
This revision is a cover-to-cover expansion and renovation of the third edition. It now includes an introduction to tensor computations and brand new sections on � fast transforms� parallel LU� discrete Poisson solvers� pseudospectra� structured linear equation problems� structured eigenvalue problems� large-scale SVD methods� polynomial eigenvalue problems

Matrix Computations is packed with challenging problems, insightful derivations, and pointers to the literature—everything needed to become a matrix-savvy developer of numerical methods and software.]]>
784 Gene H. Golub 1421407949 Josh 0 to-read 4.64 1983 Matrix Computations (Johns Hopkins Studies in the Mathematical Sciences, 3)
author: Gene H. Golub
name: Josh
average rating: 4.64
book published: 1983
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<![CDATA[Introduction to Machine Learning]]> 52052121 A substantially revised fourth edition of a comprehensive textbook, including new coverage of recent advances in deep learning and neural networks.

The goal of machine learning is to program computers to use example data or past experience to solve a given problem. Machine learning underlies such exciting new technologies as self-driving cars, speech recognition, and translation applications. This substantially revised fourth edition of a comprehensive, widely used machine learning textbook offers new coverage of recent advances in the field in both theory and practice, including developments in deep learning and neural networks.

The book covers a broad array of topics not usually included in introductory machine learning texts, including supervised learning, Bayesian decision theory, parametric methods, semiparametric methods, nonparametric methods, multivariate analysis, hidden Markov models, reinforcement learning, kernel machines, graphical models, Bayesian estimation, and statistical testing. The fourth edition offers a new chapter on deep learning that discusses training, regularizing, and structuring deep neural networks such as convolutional and generative adversarial networks; new material in the chapter on reinforcement learning that covers the use of deep networks, the policy gradient methods, and deep reinforcement learning; new material in the chapter on multilayer perceptrons on autoencoders and the word2vec network; and discussion of a popular method of dimensionality reduction, t-SNE. New appendixes offer background material on linear algebra and optimization. End-of-chapter exercises help readers to apply concepts learned. Introduction to Machine Learning can be used in courses for advanced undergraduate and graduate students and as a reference for professionals.]]>
712 Ethem Alpaydin 0262043793 Josh 0 to-read 4.12 2004 Introduction to Machine Learning
author: Ethem Alpaydin
name: Josh
average rating: 4.12
book published: 2004
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<![CDATA[Probabilistic Robotics (Intelligent Robotics and Autonomous Agents series)]]> 359437 672 Sebastian Thrun 0262201623 Josh 0 to-read 4.63 2005 Probabilistic Robotics (Intelligent Robotics and Autonomous Agents series)
author: Sebastian Thrun
name: Josh
average rating: 4.63
book published: 2005
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<![CDATA[An Introduction to Probability Theory and Its Applications, Volume 1]]> 2378167 509 William Feller 0471257087 Josh 0 to-read 4.31 1968 An Introduction to Probability Theory and Its Applications, Volume 1
author: William Feller
name: Josh
average rating: 4.31
book published: 1968
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<![CDATA[All of Statistics: A Concise Course in Statistical Inference (Springer Texts in Statistics)]]> 411722 The book includes modern topics like non-parametric curve estimation, bootstrapping, and classification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra. No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analysing data.]]> 462 Larry Wasserman 0387402721 Josh 0 to-read 4.25 2003 All of Statistics: A Concise Course in Statistical Inference (Springer Texts in Statistics)
author: Larry Wasserman
name: Josh
average rating: 4.25
book published: 2003
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<![CDATA[Hands-On Machine Learning with Scikit-Learn, Keras, and TensorFlow: Concepts, Tools, and Techniques to Build Intelligent Systems]]> 50921673 Through a series of recent breakthroughs, deep learning has boosted the entire field of machine learning. Now, even programmers who know close to nothing about this technology can use simple, efficient tools to implement programs capable of learning from data. This practical book shows you how.

By using concrete examples, minimal theory, and two production-ready Python frameworks—Scikit-Learn and TensorFlow—author Aurélien Géron helps you gain an intuitive understanding of the concepts and tools for building intelligent systems. You’ll learn a range of techniques, starting with simple linear regression and progressing to deep neural networks. With exercises in each chapter to help you apply what you’ve learned, all you need is programming experience to get started.

Explore the machine learning landscape, particularly neural nets Use Scikit-Learn to track an example machine-learning project end-to-end Explore several training models, including support vector machines, decision trees, random forests, and ensemble methods Use the TensorFlow library to build and train neural nets Dive into neural net architectures, including convolutional nets, recurrent nets, and deep reinforcement learning Learn techniques for training and scaling deep neural nets ]]>
851 Aurélien Géron Josh 0 to-read 4.55 2017 Hands-On Machine Learning with Scikit-Learn, Keras, and TensorFlow: Concepts, Tools, and Techniques to Build Intelligent Systems
author: Aurélien Géron
name: Josh
average rating: 4.55
book published: 2017
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<![CDATA[Elements of Information Theory 2nd Edition (Wiley Series in Telecommunications and Signal Processing)]]> 433439

The Second Edition of this fundamental textbook maintains the book's tradition of clear, thought-provoking instruction. Readers are provided once again with an instructive mix of mathematics, physics, statistics, and information theory.

All the essential topics in information theory are covered in detail, including entropy, data compression, channel capacity, rate distortion, network information theory, and hypothesis testing. The authors provide readers with a solid understanding of the underlying theory and applications. Problem sets and a telegraphic summary at the end of each chapter further assist readers. The historical notes that follow each chapter recap the main points.

The Second Edition features:
* Chapters reorganized to improve teaching
* 200 new problems
* New material on source coding, portfolio theory, and feedback capacity
* Updated references

Now current and enhanced, the Second Edition of Elements of Information Theory remains the ideal textbook for upper-level undergraduate and graduate courses in electrical engineering, statistics, and telecommunications.]]>
784 Thomas M. Cover 0471241954 Josh 0 to-read 4.22 1991 Elements of Information Theory 2nd Edition (Wiley Series in Telecommunications and Signal Processing)
author: Thomas M. Cover
name: Josh
average rating: 4.22
book published: 1991
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<![CDATA[Statistical Rethinking: A Bayesian Course with Examples in R and STAN (Chapman & Hall/CRC Texts in Statistical Science)]]> 49811855 594 Richard McElreath 036713991X Josh 0 to-read 4.72 2015 Statistical Rethinking: A Bayesian Course with Examples in R and STAN (Chapman & Hall/CRC Texts in Statistical Science)
author: Richard McElreath
name: Josh
average rating: 4.72
book published: 2015
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<![CDATA[Computer Systems: A Programmer's Perspective]]> 25403633
Few students studying computer science or computer engineering will ever have the opportunity to build a computer system. On the other hand, most students will be required to use and program computers on a near daily basis. 'Computer Systems' introduces the important and enduring concepts that underlie application programs.]]>
1120 Randal E. Bryant 013409266X Josh 0 to-read 4.60 2002 Computer Systems: A Programmer's Perspective
author: Randal E. Bryant
name: Josh
average rating: 4.60
book published: 2002
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<![CDATA[Information Theory, Inference, and Learning Algorithms]]> 201357 642 David J.C. MacKay 0521642981 Josh 0 to-read 4.52 2002 Information Theory, Inference, and Learning Algorithms
author: David J.C. MacKay
name: Josh
average rating: 4.52
book published: 2002
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<![CDATA[Introduction to Automata Theory, Languages, and Computation]]> 83907 560 John E. Hopcroft 0321455363 Josh 0 to-read 3.77 1979 Introduction to Automata Theory, Languages, and Computation
author: John E. Hopcroft
name: Josh
average rating: 3.77
book published: 1979
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<![CDATA[Probability Theory: The Logic of Science]]> 151848 753 E.T. Jaynes 0521592712 Josh 0 to-read 4.39 Probability Theory: The Logic of Science
author: E.T. Jaynes
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Bayesian Data Analysis 9930654 Winner of the 2016 De Groot Prize from the International Society for Bayesian Analysis

Now in its third edition, this classic book is widely considered the leading text on Bayesian methods, lauded for its accessible, practical approach to analyzing data and solving research problems. Bayesian Data Analysis, Third Edition continues to take an applied approach to analysis using up-to-date Bayesian methods. The authors-all leaders in the statistics community-introduce basic concepts from a data-analytic perspective before presenting advanced methods. Throughout the text, numerous worked examples drawn from real applications and research emphasize the use of Bayesian inference in practice.

New to the Third Edition



Four new chapters on nonparametric modeling Coverage of weakly informative priors and boundary-avoiding priors Updated discussion of cross-validation and predictive information criteria Improved convergence monitoring and effective sample size calculations for iterative simulation Presentations of Hamiltonian Monte Carlo, variational Bayes, and expectation propagation New and revised software code



The book can be used in three different ways. For undergraduate students, it introduces Bayesian inference starting from first principles. For graduate students, the text presents effective current approaches to Bayesian modeling and computation in statistics and related fields. For researchers, it provides an assortment of Bayesian methods in applied statistics. Additional materials, including data sets used in the examples, solutions to selected exercises, and software instructions, are available on the book's web page.]]>
675 1439840954 Josh 0 to-read 4.33 1995 Bayesian Data Analysis
author: Professor in the Department of Statistics Andrew Gelman
name: Josh
average rating: 4.33
book published: 1995
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<![CDATA[Machine Learning: A Probabilistic Perspective]]> 15857489
Today's Web-enabled deluge of electronic data calls for automated methods of data analysis. Machine learning provides these, developing methods that can automatically detect patterns in data and then use the uncovered patterns to predict future data. This textbook offers a comprehensive and self-contained introduction to the field of machine learning, based on a unified, probabilistic approach.

The coverage combines breadth and depth, offering necessary background material on such topics as probability, optimization, and linear algebra as well as discussion of recent developments in the field, including conditional random fields, L1 regularization, and deep learning. The book is written in an informal, accessible style, complete with pseudo-code for the most important algorithms. All topics are copiously illustrated with color images and worked examples drawn from such application domains as biology, text processing, computer vision, and robotics. Rather than providing a cookbook of different heuristic methods, the book stresses a principled model-based approach, often using the language of graphical models to specify models in a concise and intuitive way. Almost all the models described have been implemented in a MATLAB software package—PMTK (probabilistic modeling toolkit)—that is freely available online. The book is suitable for upper-level undergraduates with an introductory-level college math background and beginning graduate students.]]>
1104 Kevin P. Murphy 0262018020 Josh 0 to-read 4.36 Machine Learning: A Probabilistic Perspective
author: Kevin P. Murphy
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Thinking In Systems: A Primer 3828902 Thinking in Systems, is a concise and crucial book offering insight for problem solving on scales ranging from the personal to the global. Edited by the Sustainability Institute’s Diana Wright, this essential primer brings systems thinking out of the realm of computers and equations and into the tangible world, showing readers how to develop the systems-thinking skills that thought leaders across the globe consider critical for 21st-century life.

Some of the biggest problems facing the world—war, hunger, poverty, and environmental degradation—are essentially system failures. They cannot be solved by fixing one piece in isolation from the others, because even seemingly minor details have enormous power to undermine the best efforts of too-narrow thinking.

While readers will learn the conceptual tools and methods of systems thinking, the heart of the book is grander than methodology. Donella Meadows was known as much for nurturing positive outcomes as she was for delving into the science behind global dilemmas. She reminds readers to pay attention to what is important, not just what is quantifiable, to stay humble, and to stay a learner.

In a world growing ever more complicated, crowded, and interdependent, Thinking in Systems helps readers avoid confusion and helplessness, the first step toward finding proactive and effective solutions.]]>
218 Donella H. Meadows 1603580557 Josh 0 to-read 4.17 2008 Thinking In Systems: A Primer
author: Donella H. Meadows
name: Josh
average rating: 4.17
book published: 2008
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Mathematical Analysis 51834237
It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.]]>
292 Tom M. Apostol Josh 0 to-read 0.0 1957 Mathematical Analysis
author: Tom M. Apostol
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average rating: 0.0
book published: 1957
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Introduction to Real Analysis 9827108 416 Robert G. Bartle 0471433314 Josh 0 to-read 3.63 1982 Introduction to Real Analysis
author: Robert G. Bartle
name: Josh
average rating: 3.63
book published: 1982
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Algebra 2140100 150 Israel M. Gelfand 0817636773 Josh 0 to-read 4.38 1992 Algebra
author: Israel M. Gelfand
name: Josh
average rating: 4.38
book published: 1992
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<![CDATA[The Shape of Space (Textbooks in Mathematics)]]> 57001739
Written by a master expositor, leading researcher in the field, and MacArthur Fellow, its informal exposition and engaging exercises appeal to an exceptionally broad audience, from liberal arts students to math undergraduate and graduate students looking for a clear intuitive understanding to supplement more formal texts, and even to laypeople seeking an entertaining self-study book to expand their understanding of space.

Features of the Third Edition:

- Full-color figures throughout

- "Picture proofs" have replaced algebraic proofs

- Simpler handles-and-crosscaps approach to surfaces

- Updated discussion of cosmological applications

- Intuitive examples missing from many college and graduate school curricula

About the Author:

Jeffrey R. Weeks is a freelance geometer living in Canton, New York. With support from the U.S. National Science Foundation, the MacArthur Foundation and several science museums, his work spans pure mathematics, applications in cosmology and―closest to his heart―exposition for the general public.]]>
362 Jeffrey R. Weeks Josh 0 to-read 4.40 The Shape of Space (Textbooks in Mathematics)
author: Jeffrey R. Weeks
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<![CDATA[Mathematics: Its Content, Methods and Meaning (3 Volumes in One) (Dover Books on Mathematics)]]> 405880 This major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels."
Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional analysis, and groups and other algebraic systems.
Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference.
"This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . ." � Social Science]]>
1120 A.D. Aleksandrov 0486409163 Josh 0 to-read 4.39 1963 Mathematics: Its Content, Methods and Meaning (3 Volumes in One) (Dover Books on Mathematics)
author: A.D. Aleksandrov
name: Josh
average rating: 4.39
book published: 1963
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Book of Proof 42284678
Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.]]>
382 Richard Hammack 0989472124 Josh 0 to-read 4.56 2009 Book of Proof
author: Richard Hammack
name: Josh
average rating: 4.56
book published: 2009
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<![CDATA[The Art of Problem Solving, Volume 1: The Basics]]> 2872282
Volume 1 is appropriate for students just beginning in math contests. MATHCOUNTS and novice high school students particularly have found it invaluable. Although the Art of Problem Solving is widely used by students preparing for mathematics competitions, the book is not just a collection of tricks. The emphasis on learning and understanding methods rather than memorizing formulas enables students to solve large classes of problems beyond those presented in the book.

Speaking of problems, the Art of Problem Solving, Volume 1, contains over 500 examples and exercises culled from such contests as MATHCOUNTS, the Mandelbrot Competition, the AMC tests, and ARML. Full solutions (not just answers!) are available for all the problems in the solution manual.]]>
288 Sandor Lehoczky 0977304566 Josh 0 to-read 4.37 2006 The Art of Problem Solving, Volume 1: The Basics
author: Sandor Lehoczky
name: Josh
average rating: 4.37
book published: 2006
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<![CDATA[the Art of Problem Solving, Volume 2: and Beyond]]> 2872284
Volume 2 is appropriate for students who have mastered the problem solving fundamentals presented in Volume 1 and are ready for a greater challenge. Although the Art of Problem Solving is widely used by students preparing for mathematics competitions, the book is not just a collection of tricks. The emphasis on learning and understanding methods rather than memorizing formulas enables students to solve large classes of problems beyond those presented in the book.

Speaking of problems, the Art of Problem Solving, Volume 2, contains over 500 examples and exercises culled from such contests as the Mandelbrot Competition, the AMC tests, and ARML. Full solutions (not just answers!) are available for all the problems in the solution manual.]]>
320 Richard Rusczyk 0977304582 Josh 0 to-read 4.36 2003 the Art of Problem Solving, Volume 2: and Beyond
author: Richard Rusczyk
name: Josh
average rating: 4.36
book published: 2003
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<![CDATA[Mathematics and Its History (Undergraduate Texts in Mathematics)]]> 9529658 662 John Stillwell 144196052X Josh 0 to-read 4.30 1997 Mathematics and Its History (Undergraduate Texts in Mathematics)
author: John Stillwell
name: Josh
average rating: 4.30
book published: 1997
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<![CDATA[Human Compatible: AI and the Problem of Control]]> 45170274 Humans dream of super-intelligent machines. But what happens if we actually succeed?

Creating superior intelligence would be the biggest event in human history. Unfortunately, according to the world's pre-eminent AI expert, it could also be the last.

In this groundbreaking book on the biggest question facing humanity, Stuart Russell explains why he has come to consider his own discipline an existential threat to our species, and lays out how we can change course before it's too late. There is no one better placed to assess the promise and perils of the dominant technology of the future than Russell, who has spent decades at the forefront of AI research. Through brilliant analogies and crisp, lucid prose, he explains how AI actually works, how it has an enormous capacity to improve our lives - but why we must ensure that we never lose control of machines more powerful than we are. Here Russell shows how we can avert the worst threats by reshaping the foundations of AI to guarantee that machines pursue our objectives, not theirs.

Profound, urgent and visionary, Human Compatible is the one book everyone needs to read to understand a future that is coming sooner than we think.]]>
336 Stuart Russell 0241335205 Josh 0 to-read 4.04 2019 Human Compatible: AI and the Problem of Control
author: Stuart Russell
name: Josh
average rating: 4.04
book published: 2019
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<![CDATA[Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus]]> 328647 162 Michael Spivak 0805390219 Josh 0 to-read 4.20 1965 Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus
author: Michael Spivak
name: Josh
average rating: 4.20
book published: 1965
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<![CDATA[The Elements of Statistical Learning: Data Mining, Inference, and Prediction]]> 4094864 768 Trevor Hastie 0387848576 Josh 0 to-read 4.52 2001 The Elements of Statistical Learning: Data Mining, Inference, and Prediction
author: Trevor Hastie
name: Josh
average rating: 4.52
book published: 2001
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<![CDATA[Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering]]> 51220584 532 Steven H. Strogatz 0367092069 Josh 0 to-read 4.40 1994 Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering
author: Steven H. Strogatz
name: Josh
average rating: 4.40
book published: 1994
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<![CDATA[Introduction to Linear Algebra (Gilbert Strang, 2)]]> 30423224 600 Gilbert Strang 0980232775 Josh 0 to-read 4.36 1993 Introduction to Linear Algebra (Gilbert Strang, 2)
author: Gilbert Strang
name: Josh
average rating: 4.36
book published: 1993
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<![CDATA[Introductory Functional Analysis with Applications]]> 241452 Geometnc Algebra R. W. Carter
Simple Groups Of Lie Type Richard Courant
Differential and Integrai Calculus. Volume I Richard Courant
Differential and Integral Calculus. Volume II Richard Courant & D. Hilbert
Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert
Methods of Mathematical Physics. Volume II Harold M. S. Coxeter
Introduction to Modern Geometry. Second Edition Charles W. Curtis, Irving Reiner
Representation Theory of Finite Groups and Associative Algebras Nelson Dunford, Jacob T. Schwartz
unear Operators. Part One. General Theory Nelson Dunford. Jacob T. Schwartz
Linear Operators, Part Two. Spectral Theory―Self Adjant Operators in Hilbert Space Nelson Dunford, Jacob T. Schwartz
Linear Operators. Part Three. Spectral Operators Peter Henrici
Applied and Computational Complex Analysis. Volume I―Power Senes-lntegrauon-Contormal Mapping-Locatvon of Zeros Peter Hilton, Yet-Chiang Wu
A Course in Modern Algebra Harry Hochstadt
Integral Equations Erwin Kreyszig
Introductory Functional Analysis with Applications P. M. Prenter
Splines and Variational Methods C. L. Siegel
Topics in Complex Function Theory. Volume I ―Elliptic Functions and Uniformizatton Theory C. L. Siegel
Topics in Complex Function Theory. Volume II ―Automorphic and Abelian Integrals C. L. Siegel
Topics In Complex Function Theory. Volume III ―Abelian Functions & Modular Functions of Several Variables J. J. Stoker
Differential Geometry]]>
688 Erwin Kreyszig 0471504599 Josh 0 to-read 4.28 1978 Introductory Functional Analysis with Applications
author: Erwin Kreyszig
name: Josh
average rating: 4.28
book published: 1978
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<![CDATA[The Art of Statistics: Learning from Data]]> 39813845 426 David Spiegelhalter 0241258766 Josh 0 to-read 4.19 2019 The Art of Statistics: Learning from Data
author: David Spiegelhalter
name: Josh
average rating: 4.19
book published: 2019
rating: 0
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<![CDATA[Real and Complex Analysis (Higher Mathematics Series)]]> 1039015 483 Walter Rudin 0070542341 Josh 0 to-read 4.29 1970 Real and Complex Analysis (Higher Mathematics Series)
author: Walter Rudin
name: Josh
average rating: 4.29
book published: 1970
rating: 0
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<![CDATA[Linear Algebra and Its Applications]]> 179699 487 Gilbert Strang 0030105676 Josh 0 to-read 4.28 1976 Linear Algebra and Its Applications
author: Gilbert Strang
name: Josh
average rating: 4.28
book published: 1976
rating: 0
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<![CDATA[The Curious Incident of the Dog in the Night-Time]]> 1618 226 Mark Haddon 1400032717 Josh 3 3.89 2003 The Curious Incident of the Dog in the Night-Time
author: Mark Haddon
name: Josh
average rating: 3.89
book published: 2003
rating: 3
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<![CDATA[Decoding the Universe: How the New Science of Information Is Explaining Everything in the Cosmos, from Our Brains to Black Holes]]> 116623 304 Charles Seife 0143038397 Josh 0 math-science 4.13 2006 Decoding the Universe: How the New Science of Information Is Explaining Everything in the Cosmos, from Our Brains to Black Holes
author: Charles Seife
name: Josh
average rating: 4.13
book published: 2006
rating: 0
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date added: 2025/01/27
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<![CDATA[Principles of Statistics (Dover Books on Mathematics)]]> 340019 Professor Bulmer devotes the first chapters to a concise, admirably clear description of basic terminology and fundamental statistical abstract concepts of probability and their applications in dice games, Mendelian heredity, etc.; definitions and examples of discrete and continuous random variables; multivariate distributions and the descriptive tools used to delineate them; expected values; etc.
The book then moves quickly to more advanced levels, as Professor Bulmer describes important distributions (binomial, Poisson, exponential, normal, etc.), tests of significance, statistical inference, point estimation, regression, and correlation. Dozens of exercises and problems appear at the end of various chapters, with answers provided at the back of the book. Also included are a number of statistical tables and selected references.]]>
256 M.G. Bulmer 0486637603 Josh 0 math-science 3.99 2012 Principles of Statistics (Dover Books on Mathematics)
author: M.G. Bulmer
name: Josh
average rating: 3.99
book published: 2012
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<![CDATA[Calculus: An Intuitive and Physical Approach]]> 450366 960 Morris Kline 0486404536 Josh 0 math-science 4.30 1967 Calculus: An Intuitive and Physical Approach
author: Morris Kline
name: Josh
average rating: 4.30
book published: 1967
rating: 0
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<![CDATA[Div, Grad, Curl, and All That: An Informal Text on Vector Calculus]]> 703104 176 Harry M. Schey 0393925161 Josh 0 math-science 4.22 1973 Div, Grad, Curl, and All That: An Informal Text on Vector Calculus
author: Harry M. Schey
name: Josh
average rating: 4.22
book published: 1973
rating: 0
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<![CDATA[Applied Mathematics: A Very Short Introduction (Very Short Introductions)]]> 36722229
This Very Short Introduction presents a compact yet comprehensive view of the field of applied mathematics, and explores its relationships with (pure) mathematics, science, and engineering. Explaining the nature of applied mathematics, Alain Goriely discusses its early achievements in physics and engineering, and its development as a separate field after World War II. Using historical examples, current applications, and challenges, Goriely illustrates the particular role that mathematics plays in the modern sciences today and its far-reaching potential.

ABOUT THE The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.]]>
176 Alain Goriely 0198754043 Josh 0 math-science 3.93 Applied Mathematics: A Very Short Introduction (Very Short Introductions)
author: Alain Goriely
name: Josh
average rating: 3.93
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<![CDATA[Understanding Analysis (Undergraduate Texts in Mathematics)]]> 845794 272 Stephen Abbott 0387950605 Josh 0 math-science 4.44 2000 Understanding Analysis (Undergraduate Texts in Mathematics)
author: Stephen Abbott
name: Josh
average rating: 4.44
book published: 2000
rating: 0
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<![CDATA[The Colossal Book of Short Puzzles and Problems]]> 715563 512 Martin Gardner 0393061140 Josh 0 math-science 4.38 2005 The Colossal Book of Short Puzzles and Problems
author: Martin Gardner
name: Josh
average rating: 4.38
book published: 2005
rating: 0
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<![CDATA[Special Relativity and Classical Field Theory: The Theoretical Minimum]]> 33784507 The third volume in the bestselling physics series cracks open Einstein's special relativity and field theory
Physicist Leonard Susskind and data engineer Art Friedman are back. This time, they introduce readers to Einstein's special relativity and Maxwell's classical field theory. Using their typical brand of real math, enlightening drawings, and humor, Susskind and Friedman walk us through the complexities of waves, forces, and particles by exploring special relativity and electromagnetism. It's a must-read for both devotees of the series and any armchair physicist who wants to improve their knowledge of physics' deepest truths.]]>
448 Leonard Susskind 0465093345 Josh 0 math-science 4.48 2017 Special Relativity and Classical Field Theory: The Theoretical Minimum
author: Leonard Susskind
name: Josh
average rating: 4.48
book published: 2017
rating: 0
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<![CDATA[Quantum Mechanics: The Theoretical Minimum (Theoretical Minimum #2)]]> 18210750 From the bestselling author of The Theoretical Minimum, a DIY introduction to the math and science of quantum physics

First he taught you classical mechanics. Now, physicist Leonard Susskind has teamed up with data engineer Art Friedman to present the theory and associated mathematics of the strange world of quantum mechanics.

In this follow-up to The Theoretical Minimum, Susskind and Friedman provide a lively introduction to this famously difficult field, which attempts to understand the behavior of sub-atomic objects through mathematical abstractions. Unlike other popularizations that shy away from quantum mechanics� weirdness, Quantum Mechanics embraces the utter strangeness of quantum logic. The authors offer crystal-clear explanations of the principles of quantum states, uncertainty and time dependence, entanglement, and particle and wave states, among other topics, and each chapter includes exercises to ensure mastery of each area. Like The Theoretical Minimum, this volume runs parallel to Susskind’s eponymous Stanford University-hosted continuing education course.

An approachable yet rigorous introduction to a famously difficult topic, Quantum Mechanics provides a tool kit for amateur scientists to learn physics at their own pace.
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364 Leonard Susskind 0465036678 Josh 0 math-science 4.34 2014 Quantum Mechanics: The Theoretical Minimum (Theoretical Minimum #2)
author: Leonard Susskind
name: Josh
average rating: 4.34
book published: 2014
rating: 0
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<![CDATA[Math Hysteria: Fun and Games with Mathematics]]> 503615 235 Ian Stewart 0198613369 Josh 0 math-science 4.16 2004 Math Hysteria: Fun and Games with Mathematics
author: Ian Stewart
name: Josh
average rating: 4.16
book published: 2004
rating: 0
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<![CDATA[Fourier Series (Dover Books on Mathematics)]]> 2273282 352 Georgi P. Tolstov 0486633179 Josh 0 math-science 4.20 1976 Fourier Series (Dover Books on Mathematics)
author: Georgi P. Tolstov
name: Josh
average rating: 4.20
book published: 1976
rating: 0
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<![CDATA[Introduction to Graph Theory (Dover Books on Mathematics)]]> 388049 224 Richard J. Trudeau 0486678709 Josh 0 math-science 4.08 1994 Introduction to Graph Theory (Dover Books on Mathematics)
author: Richard J. Trudeau
name: Josh
average rating: 4.08
book published: 1994
rating: 0
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<![CDATA[A Most Elegant Equation: Euler's Formula and the Beauty of Mathematics]]> 34219963
Bertrand Russell wrote that mathematics can exalt "as surely as poetry." This is especially true of one ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections. It ties together everything from basic arithmetic to compound interest, the circumference of a circle, trigonometry, calculus, and even infinity. In David Stipp's hands, Euler's identity formula becomes a contemplative stroll through the glories of mathematics. The result is an ode to this magical field.]]>
240 David Stipp 0465093779 Josh 0 math-science 3.81 A Most Elegant Equation: Euler's Formula and the Beauty of Mathematics
author: David Stipp
name: Josh
average rating: 3.81
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<![CDATA[My Best Mathematical and Logic Puzzles (Dover Recreational Math) (Dover Math Games & Puzzles)]]> 415058 96 Martin Gardner 0486281523 Josh 4 4.16 1994 My Best Mathematical and Logic Puzzles (Dover Recreational Math) (Dover Math Games & Puzzles)
author: Martin Gardner
name: Josh
average rating: 4.16
book published: 1994
rating: 4
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<![CDATA[Mathematics and the Search for Knowledge]]> 1137005 263 Morris Kline 0195042301 Josh 0 math-science 3.95 1985 Mathematics and the Search for Knowledge
author: Morris Kline
name: Josh
average rating: 3.95
book published: 1985
rating: 0
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<![CDATA[Euler: The Master of Us All (Dolciani Mathematical Expositions)]]> 275918 208 William Dunham 0883853280 Josh 0 math-science 4.40 1999 Euler: The Master of Us All (Dolciani Mathematical Expositions)
author: William Dunham
name: Josh
average rating: 4.40
book published: 1999
rating: 0
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<![CDATA[Fifty Challenging Problems in Probability with Solutions (Dover Books on Mathematics)]]> 613077 96 Frederick Mosteller 0486653552 Josh 0 math-science 4.18 1965 Fifty Challenging Problems in Probability with Solutions (Dover Books on Mathematics)
author: Frederick Mosteller
name: Josh
average rating: 4.18
book published: 1965
rating: 0
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Abstract Algebra 264543 * The emphasis throughout has been to motivate the introduction and development of important algebraic concepts using as many examples as possible.]]> 944 David S. Dummit 0471433349 Josh 0 math-science 4.21 1967 Abstract Algebra
author: David S. Dummit
name: Josh
average rating: 4.21
book published: 1967
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A Book of Abstract Algebra 8295305 An introductory chapter traces concepts of abstract algebra from their historical roots. Succeeding chapters avoid the conventional format of definition-theorem-proof-corollary-example; instead, they take the form of a discussion with students, focusing on explanations and offering motivation. Each chapter rests upon a central theme, usually a specific application or use. The author provides elementary background as needed and discusses standard topics in their usual order. He introduces many advanced and peripheral subjects in the plentiful exercises, which are accompanied by ample instruction and commentary and offer a wide range of experiences to students at different levels of ability.]]> 400 Charles C. Pinter 0486474178 Josh 0 math-science 4.36 1982 A Book of Abstract Algebra
author: Charles C. Pinter
name: Josh
average rating: 4.36
book published: 1982
rating: 0
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<![CDATA[Infinite Powers: How Calculus Reveals the Secrets of the Universe]]> 41962724
Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each how to determine the area of a circle with only sand and a stick; how to explain why Mars goes “backwards� sometimes; how to make electricity with magnets; how to ensure your rocket doesn’t miss the moon; how to turn the tide in the fight against AIDS.

As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.Ìý±Õ±Õ>
389 Steven H. Strogatz 132888001X Josh 0 math-science 4.42 2019 Infinite Powers: How Calculus Reveals the Secrets of the Universe
author: Steven H. Strogatz
name: Josh
average rating: 4.42
book published: 2019
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<![CDATA[The Cartoon Guide to Algebra (Cartoon Guide Series)]]> 22103861
Using engaging graphics and lively humor, Gonick covers all of the algebra essentials, including linear equations, polynomials, quadratic equations, and graphing techniques. He also offers a concise overview of algebra’s history and its many practical applications in modern life.

Combining Gonick’s unique ability to make difficult topics fun, interesting, and easy-to-understand—while still relaying the essential information in a clear, organized and accurate format�The Cartoon Guide to Algebra is an essential supplement for students of all levels, in high school, college, and beyond.]]>
240 Larry Gonick 0062202693 Josh 0 math-science 4.00 2015 The Cartoon Guide to Algebra (Cartoon Guide Series)
author: Larry Gonick
name: Josh
average rating: 4.00
book published: 2015
rating: 0
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<![CDATA[Professor Stewart’s Cabinet of Mathematical Curiosities]]> 6061491 Inside, you will find hidden gems of logic, geometry, and probability-like how to extract a cherry from a cocktail glass (harder than you think), a pop-up dodecahedron, and the real reason why you can't divide anything by zero. Scattered among these are keys to Fermat's last theorem, the Poincaréonjecture, chaos theory, and the P=NP problem (you'll win a million dollars if you solve it). You never know what enigmas you'll find in the Stewart cabinet, but they're sure to be clever, mind-expanding, and delightfully fun.]]> 310 Ian Stewart 0465013023 Josh 0 math-science 3.86 2008 Professor Stewart’s Cabinet of Mathematical Curiosities
author: Ian Stewart
name: Josh
average rating: 3.86
book published: 2008
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<![CDATA[The Cartoon Guide to Calculus (Cartoon Guide Series)]]> 11961391 � New York Times Book Review Larry Gonick, master cartoonist, former Harvard instructor, and creator of the New York Times bestselling, Harvey Award-winning Cartoon Guide series now does for calculus what he previously did for science and making a complex subject comprehensible, fascinating, and fun through witty text and light-hearted graphics. Gonick’s The Cartoon Guide to Calculus is a refreshingly humorous, remarkably thorough guide to general calculus that, like his earlier Cartoon Guide to Physics and Cartoon History of the Modern World , will prove a boon to students, educators, and eager learners everywhere.]]> 256 Larry Gonick 0061689092 Josh 0 math-science 4.10 2011 The Cartoon Guide to Calculus (Cartoon Guide Series)
author: Larry Gonick
name: Josh
average rating: 4.10
book published: 2011
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<![CDATA[Why Beauty Is Truth: A History of Symmetry]]> 148614 In Why Beauty Is Truth, world-famous mathematician Ian Stewart narrates the history of the emergence of this remarkable area of study. Stewart introduces us to such characters as the Renaissance Italian genius, rogue, scholar, and gambler Girolamo Cardano, who stole the modern method of solving cubic equations and published it in the first important book on algebra, and the young revolutionary Evariste Galois, who refashioned the whole of mathematics and founded the field of group theory only to die in a pointless duel over a woman before his work was published. Stewart also explores the strange numerology of real mathematics, in which particular numbers have unique and unpredictable properties related to symmetry. He shows how Wilhelm Killing discovered “Lie groups� with 14, 52, 78, 133, and 248 dimensions-groups whose very existence is a profound puzzle. Finally, Stewart describes the world beyond superstrings: the “octonionic� symmetries that may explain the very existence of the universe.]]> 290 Ian Stewart 046508236X Josh 0 math-science 3.86 2007 Why Beauty Is Truth: A History of Symmetry
author: Ian Stewart
name: Josh
average rating: 3.86
book published: 2007
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Thinking Mathematically 1241663 224 John Mason 0201102382 Josh 0 math-science 4.21 1982 Thinking Mathematically
author: John Mason
name: Josh
average rating: 4.21
book published: 1982
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<![CDATA[Bayes' Theorem Examples: A Visual Introduction For Beginners]]> 32488786 Bayesian statistics is taught in most first-year statistics classes across the nation, but there is one major problem that many students (and others who are interested in the theorem) face. The theorem is not intuitive for most people, and understanding how it works can be a challenge, especially because it is often taught without visual aids.
In this guide, we unpack the various components of the theorem and provide a basic overview of how it works - and with illustrations to help. Three scenarios - the flu, breathalyzer tests, and peacekeeping - are used throughout the booklet to teach how problems involving Bayes Theorem can be approached and solved.
Over 60 hand-drawn visuals are included throughout to help you work through each problem as you learn by example. The illustrations are simple, hand-drawn, and in black and white.
For those interested, we have also included sections typically not found in other beginner guides to Bayes Rule.
These include:
A short tutorial on how to understand problem scenarios and find P(B), P(A), and P(B|A). For many people, knowing how to approach scenarios and break them apart can be daunting. In this booklet, we provide a quick step-by-step reference on how to confidently understand scenarios.
A few examples of how to think like a Bayesian in everyday life.
Bayes Rule might seem somewhat abstract, but it can be applied to many areas of life and help you make better decisions. It is a great tool that can help you with critical thinking, problem-solving, and dealing with the gray areas of life.
A concise history of Bayes Rule. Bayes Theorem has a fascinating 200+ year history, and we have summed it up for you in this booklet. From its discovery in the 1700’s to its being used to break the German’s Enigma Code during World War 2, its tale is quite phenomenal.
Fascinating real-life stories on how Bayes formula is used in everyday life.From search and rescue to spam filtering and driverless cars, Bayes is used in many areas of modern day life. We have summed up 3 examples for you and provided an example of how Bayes could be used.
An expanded definitions, notations, and proof section.
We have included an expanded definitions and notations sections at the end of the booklet. In this section we define core terms more concretely, and also cover additional terms you might be confused about.
A recommended readings section.
From The Theory That Would Not Die to a few other books, there are a number of recommendations we have for further reading. Take a look! If you are a visual learner and like to learn by example, this intuitive booklet might be a good fit for you. Bayesian statistics is an incredibly fascinating topic and likely touches your life every single day. It is a very important tool that is used in data analysis throughout a wide-range of industries - so take an easy dive into the theorem for yourself with a visual approach!

If you are looking for a short beginners guide packed with visual examples, this booklet is for you.]]>
197 Dan Morris Josh 0 math-science 3.91 2016 Bayes' Theorem Examples: A Visual Introduction For Beginners
author: Dan Morris
name: Josh
average rating: 3.91
book published: 2016
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<![CDATA[An Introduction to Information Theory: Symbols, Signals and Noise (Dover Books on Mathematics)]]> 433443
To give a solid introduction to this burgeoning field, J. R. Pierce has revised his well-received 1961 study of information theory for a second edition. Beginning with the origins of the field, Dr. Pierce follows the brilliant formulations of Claude Shannon and describes such aspects of the subject as encoding and binary digits, entropy, language and meaning, efficient encoding, and the noisy channel. He then goes beyond the strict confines of the topic to explore the ways in which information theory relates to physics, cybernetics, psychology, and art.

Mathematical formulas are introduced at the appropriate points for the benefit of serious students. A glossary of terms and an appendix on mathematical notation are provided to help the less mathematically sophisticated.

J. R. Pierce worked for many years at the Bell Telephone Laboratories, where he became Director of Research in Communications Principles. His Introduction to Information Theory continues to be the most impressive nontechnical account available and a fascinating introduction to the subject for lay readers.
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306 John R. Pierce 0486240614 Josh 0 math-science 3.91 1961 An Introduction to Information Theory: Symbols, Signals and Noise (Dover Books on Mathematics)
author: John R. Pierce
name: Josh
average rating: 3.91
book published: 1961
rating: 0
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<![CDATA[The Moscow Puzzles: 359 Mathematical Recreations (Dover Math Games & Puzzles)]]> 391164
This is, quite simply, the best and most popular puzzle book ever published in the Soviet Union. Since its first appearance in 1956 there have been eight editions as well as translations from the original Russian into Ukrainian, Estonian, Lettish, and Lithuanian. Almost a million copies of the Russian version alone have been sold.
Part of the reason for the book's success is its marvelously varied assortment of brainteasers ranging from simple "catch" riddles to difficult problems (none, however, requiring advanced mathematics). Many of the puzzles will be new to Western readers, while some familiar problems have been clothed in new forms. Often the puzzles are presented in the form of charming stories that provide non-Russian readers with valuable insights into contemporary Russian life and customs . In addition, Martin Gardner, former editor of the Mathematical Games Department,  Scientific American , has clarified and simplified the book to make it as easy as possible for an English-reading public to understand and enjoy. He has been careful, moreover, to retain nearly all the freshness, warmth, and humor of the original.
Lavishly illustrated with over 400 clear diagrams and amusing sketches , this inexpensive edition of the first English translation will offer weeks or even months of stimulating entertainment. It belongs in the library of every puzzlist or lover of recreational mathematics.
Ìý±Õ±Õ>
320 Boris A. Kordemsky 0486270785 Josh 0 math-science 4.15 1954 The Moscow Puzzles: 359 Mathematical Recreations (Dover Math Games & Puzzles)
author: Boris A. Kordemsky
name: Josh
average rating: 4.15
book published: 1954
rating: 0
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<![CDATA[Introduction to Mathematical Philosophy]]> 31886 In dealing with such topics as number, order, relations, limits and continuity, propositional functions, descriptions, and classes, Russell writes in a clear, accessible manner, requiring neither a knowledge of mathematics nor an aptitude for mathematical symbolism. The result is a thought-provoking excursion into the fascinating realm where mathematics and philosophy meet � a philosophical classic that will be welcomed by any thinking person interested in this crucial area of modern thought.]]> 224 Bertrand Russell 0486277240 Josh 0 math-science 4.06 1918 Introduction to Mathematical Philosophy
author: Bertrand Russell
name: Josh
average rating: 4.06
book published: 1918
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<![CDATA[The Cartoon Guide to Statistics]]> 168872 230 Larry Gonick 0062731025 Josh 0 math-science 3.91 1993 The Cartoon Guide to Statistics
author: Larry Gonick
name: Josh
average rating: 3.91
book published: 1993
rating: 0
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<![CDATA[Proofs and Refutations: The Logic of Mathematical Discovery]]> 434707 188 Imre Lakatos 0521290384 Josh 0 math-science 4.29 1976 Proofs and Refutations: The Logic of Mathematical Discovery
author: Imre Lakatos
name: Josh
average rating: 4.29
book published: 1976
rating: 0
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<![CDATA[All the Mathematics You Missed: But Need to Know for Graduate School]]> 967329 376 Thomas A. Garrity 0521797071 Josh 0 math-science 4.15 2001 All the Mathematics You Missed: But Need to Know for Graduate School
author: Thomas A. Garrity
name: Josh
average rating: 4.15
book published: 2001
rating: 0
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Calculus Made Easy 9498915 336 Silvanus Phillips Thompson Josh 0 math-science 3.94 1910 Calculus Made Easy
author: Silvanus Phillips Thompson
name: Josh
average rating: 3.94
book published: 1910
rating: 0
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<![CDATA[Beyond Infinity: A MatheMATTical Adventure]]> 18273727
They must race against time to find the significant numbers Sixty-One and Three Hundred Thirteen. But why are the numbers disappearing? And what is so important about the number eight?]]>
298 Charles Ames Fischer 1940107008 Josh 0 math-science 3.37 2013 Beyond Infinity: A MatheMATTical Adventure
author: Charles Ames Fischer
name: Josh
average rating: 3.37
book published: 2013
rating: 0
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<![CDATA[Machine Learning: An Introduction Math Guide for Beginners to Understand Data Science Through the Business Applications]]> 53454530
Are you an aspiring entrepreneur? Are you an amateur software developer looking for a break in the world of machine learning? Do you want to learn more about the incredible world of Machine Learning, and what it can do for you? Then keep reading.

Machine learning is the way of the future � and breaking into this highly lucrative and ever-evolving field is a great way for your career, or business, to prosper. Inside this guide, you’ll find simple, easy-to-follow explanations of the fundamental concepts behind machine learning, from the mathematical and statistical concepts to the programming behind them.

With a wide range of comprehensive advice including machine learning models, neural networks, statistics, and much more, this guide is a highly effective tool for mastering this incredible technology.

In book one, you'll learn:
- What is Artificial Intelligence Really, and Why is it So Powerful?
- Choosing the Right Kind of Machine Learning Model for You
- An Introduction to Statistics
- Reinforcement Learning and Ensemble Modeling
- “Random Forests� and Decision Trees

In book two, you'll learn:
- Learn the Fundamental Concepts of Machine Learning Algorithms
- Understand The Four Fundamental Types of Machine Learning Algorithm
- Master the Concept of “Statistical Learning
- Learn Everything You Need to Know about Neural Networks and Data Pipelines
- Master the Concept of “General Setting of Learning�
- A Free Bonus

Covering everything you need to know about machine learning, now you can master the mathematics and statistics behind this field and develop your very own neural networks! Whether you want to use machine learning to help your business, or you’re a programmer looking to expand your skills, this bundle is a must-read for anyone interested in the world of machine learning.

So don’t wait � it’s never been easier to learn.

Buy now to become a master of Machine Learning Today!]]>
221 Samuel Hack Josh 0 math-science 4.39 Machine Learning: An Introduction Math Guide for Beginners to Understand Data Science Through the Business Applications
author: Samuel Hack
name: Josh
average rating: 4.39
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<![CDATA[The Calculus Gallery: Masterpieces from Newton to Lebesgue]]> 233214

Like a great museum, The Calculus Gallery is filled with masterpieces, among which are Bernoulli's early attack upon the harmonic series (1689), Euler's brilliant approximation of pi (1779), Cauchy's classic proof of the fundamental theorem of calculus (1823), Weierstrass's mind-boggling counterexample (1872), and Baire's original "category theorem" (1899). Collectively, these selections document the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching--a story of genius triumphing over some of the toughest, most subtle problems imaginable.


Anyone who has studied and enjoyed calculus will discover in these pages the sheer excitement each mathematician must have felt when pushing into the unknown. In touring The Calculus Gallery , we can see how it all came to be.]]>
256 William Dunham 0691095655 Josh 0 math-science 4.41 2004 The Calculus Gallery: Masterpieces from Newton to Lebesgue
author: William Dunham
name: Josh
average rating: 4.41
book published: 2004
rating: 0
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<![CDATA[Metamagical Themas: Questing for the Essence of Mind and Pattern]]> 181239 852 Douglas R. Hofstadter 0465045669 Josh 0 math-science 4.19 1985 Metamagical Themas: Questing for the Essence of Mind and Pattern
author: Douglas R. Hofstadter
name: Josh
average rating: 4.19
book published: 1985
rating: 0
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<![CDATA[Our Mathematical Universe: My Quest for the Ultimate Nature of Reality]]> 19395553 Our Mathematical Universe is a journey to explore the mysteries uncovered by cosmology and to discover the nature of reality. Our Big Bang, our distant future, parallel worlds, the sub-atomic and intergalactic - none of them are what they seem. But there is a way to understand this immense strangeness - mathematics. Seeking an answer to the fundamental puzzle of why our universe seems so mathematical, Tegmark proposes a radical idea: that our physical world not only is described by mathematics, but that it is mathematics. This may offer answers to our deepest questions: How large is reality? What is everything made of? Why is our universe the way it is?

Table of Contents
Preface

1 What Is Reality?
Not What It Seems � What’s the Ultimate Question? � The Journey Begins

Part One: Zooming Out

2 Our Place in Space
Cosmic Questions � How Big Is Space? � The Size of Earth � Distance to the Moon � Distance to the Sun and the Planets � Distance to the Stars � Distance to the Galaxies � What Is Space?

3 Our Place in Time
Where Did Our Solar System Come From? � Where Did the
Galaxies Come From? � Where Did the Mysterious Microwaves
Come From? � Where Did the Atoms Come From?

4 Our Universe by Numbers
Wanted: Precision Cosmology � Precision Microwave-Background Fluctuations � Precision Galaxy Clustering � The Ultimate Map of Our Universe � Where Did Our Big Bang Come From?

5 Our Cosmic Origins
What’s Wrong with Our Big Bang? � How Inflation Works � The Gift That Keeps on Giving � Eternal Inflation

6 Welcome to the Multiverse
The Level I Multiverse � The Level II Multiverse � Multiverse Halftime Roundup

Part Two: Zooming In

7 Cosmic Legos
Atomic Legos � Nuclear Legos � Particle-Physics Legos � Mathematical Legos � Photon Legos � Above the Law? � Quanta and Rainbows � Making Waves � Quantum Weirdness � The Collapse of Consensus � The Weirdness Can’t Be Confined � Quantum Confusion

8 The Level III Multiverse
The Level III Multiverse � The Illusion of Randomness � Quantum Censorship � The Joys of Getting Scooped � Why Your Brain Isn’t a Quantum Computer � Subject, Object and Environment � Quantum Suicide � Quantum Immortality? � Multiverses Unified � Shifting Views: Many Worlds or Many Words?

Part Three: Stepping Back

9 Internal Reality, External Reality and Consensus Reality
External Reality and Internal Reality � The Truth, the Whole Truth and Nothing but the Truth � Consensus Reality � Physics: Linking External to Consensus Reality

10 Physical Reality and Mathematical Reality
Math, Math Everywhere! � The Mathematical Universe Hypothesis � What Is a Mathematical Structure?

11 Is Time an Illusion?
How Can Physical Reality Be Mathematical? � What Are You? � Where Are You? (And What Do You Perceive?) � When Are You?

12 The Level IV Multiverse
Why I Believe in the Level IV Multiverse � Exploring the Level IV Multiverse: What’s Out There? � Implications of the Level IV Multiverse � Are We Living in a Simulation? � Relation Between the MUH, the Level IV Multiverse and Other Hypotheses •Testing the Level IV Multiverse

13 Life, Our Universe and Everything
How Big Is Our Physical Reality? � The Future of Physics � The Future of Our Universe—How Will It End? � The Future of Life •The Future of You—Are You Insignificant?

Acknowledgments
Suggestions for Further Reading
Index]]>
432 Max Tegmark 1846144760 Josh 0 math-science 4.20 2012 Our Mathematical Universe: My Quest for the Ultimate Nature of Reality
author: Max Tegmark
name: Josh
average rating: 4.20
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<![CDATA[How Not to Be Wrong: The Power of Mathematical Thinking]]> 18693884 The Freakonomics of math�a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands

The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it.

Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion� really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer?

How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God.

Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.� With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.]]>
480 Jordan Ellenberg 1594205221 Josh 0 math-science 3.95 2014 How Not to Be Wrong: The Power of Mathematical Thinking
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<![CDATA[A Wrinkle in Time (Time Quintet, #1)]]> 1309367
"Wild nights are my glory," the unearthly stranger told them. "I just got caught in a downdraft and blown off course. Let me sit down for a moment, and then I'll be on my way. Speaking of ways, by the way, there is such a thing as a tesseract."

A tesseract (in case the reader doesn't know) is a wrinkle in time. To tell more would rob the reader of the enjoyment of Miss L'Engle's unusual book. A Wrinkle in Time, winner of the Newberry Medal in 1963, is the story of the adventures in space and time of Meg, Charles Wallace, and Calvin O'Keefe (athlete, student, and one of the most popular boys in high school). They are in search of Meg's father, a scientist who disappeared while engaged in secret work for the government on the tesseract problem.]]>
190 Madeleine L'Engle 0440800544 Josh 0 math-science 3.99 1962 A Wrinkle in Time (Time Quintet, #1)
author: Madeleine L'Engle
name: Josh
average rating: 3.99
book published: 1962
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<![CDATA[The Poincaré Conjecture: In Search of the Shape of the Universe]]> 319016 304 Donal O'Shea 080271532X Josh 0 math-science 3.91 2007 The Poincaré Conjecture: In Search of the Shape of the Universe
author: Donal O'Shea
name: Josh
average rating: 3.91
book published: 2007
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<![CDATA[Euler's Gem: The Polyhedron Formula and the Birth of Topology]]> 5182228

From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. In 1750, Euler observed that any polyhedron composed of V vertices, E edges, and F faces satisfies the equation V - E + F =2. David Richeson tells how the Greeks missed the formula entirely; how Descartes almost discovered it but fell short; how nineteenth-century mathematicians widened the formula's scope in ways that Euler never envisioned by adapting it for use with doughnut shapes, smooth surfaces, and higher dimensional shapes; and how twentieth-century mathematicians discovered that every shape has its own Euler's formula. Using wonderful examples and numerous illustrations, Richeson presents the formula's many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map.


Filled with a who's who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem's development, Euler's Gem will fascinate every mathematics enthusiast.]]>
336 David S. Richeson 0691126771 Josh 0 math-science 4.28 2008 Euler's Gem: The Polyhedron Formula and the Birth of Topology
author: David S. Richeson
name: Josh
average rating: 4.28
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<![CDATA[The Man Who Knew Too Much: Alan Turing and the Invention of the Computer]]> 2477413 319 David Leavitt 0297846558 Josh 0 math-science 3.54 2006 The Man Who Knew Too Much: Alan Turing and the Invention of the Computer
author: David Leavitt
name: Josh
average rating: 3.54
book published: 2006
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<![CDATA[Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills]]> 654337 'Cause I couldn't see how it was done
Now Euler's my hero
For I now see why zero
Equals e[pi] i+1

--Paul Nahin, electrical engineer
?


In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula--long regarded as the gold standard for mathematical beauty--and shows why it still lies at the heart of complex number theory.


This book is the sequel to Paul Nahin's An Imaginary The Story of I [the square root of -1] , which chronicled the events leading up to the discovery of one of mathematics' most elusive numbers, the square root of minus one. Unlike the earlier book, which devoted a significant amount of space to the historical development of complex numbers, Dr. Euler begins with discussions of many sophisticated applications of complex numbers in pure and applied mathematics, and to electronic technology. The topics covered span a huge range, from a never-before-told tale of an encounter between the famous mathematician G. H. Hardy and the physicist Arthur Schuster, to a discussion of the theoretical basis for single-sideband AM radio, to the design of chase-and-escape problems.


The book is accessible to any reader with the equivalent of the first two years of college mathematics (calculus and differential equations), and it promises to inspire new applications for years to come. Or as Nahin writes in the book's To mathematicians ten thousand years hence, "Euler's formula will still be beautiful and stunning and untarnished by time."]]>
416 Paul J. Nahin 0691118221 Josh 0 math-science 4.06 2006 Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills
author: Paul J. Nahin
name: Josh
average rating: 4.06
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Calculus Wars 5696360
Between 1672 and 1676, Leibniz independently discovered calculus, using notation that has since become standard. When Leibniz published his results, Newton's allies rushed to discredit Leibniz in what developed, in Bardi's words, into "the greatest intellectual property debate of all time." While a few personal asides might better have been put in the preface, Bardi provides a timeless lesson about human pride as he describes the series of misunderstandings and miscommunications that led to the clash between these two great minds, "perhaps the greatest of their day."]]>
304 Jason Socrates Bardi 1843440369 Josh 0 math-science 3.47 2006 Calculus Wars
author: Jason Socrates Bardi
name: Josh
average rating: 3.47
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<![CDATA[Concepts of Modern Mathematics (Dover Books on Mathematics)]]> 183761 In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts underlying "new math": groups, sets, subsets, topology, Boolean algebra, and more. According to Professor Stewart, an understanding of these concepts offers the best route to grasping the true nature of mathematics, in particular the power, beauty, and utility of pure mathematics. No advanced mathematical background is needed (a smattering of algebra, geometry, and trigonometry is helpful) to follow the author's lucid and thought-provoking discussions of such topics as functions, symmetry, axiomatics, counting, topology, hyperspace, linear algebra, real analysis, probability, computers, applications of modern mathematics, and much more.
By the time readers have finished this book, they'll have a much clearer grasp of how modern mathematicians look at figures, functions, and formulas and how a firm grasp of the ideas underlying "new math" leads toward a genuine comprehension of the nature of mathematics itself.]]>
352 Ian Stewart 0486284247 Josh 0 math-science 4.08 1975 Concepts of Modern Mathematics (Dover Books on Mathematics)
author: Ian Stewart
name: Josh
average rating: 4.08
book published: 1975
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<![CDATA[Perfect Rigor: A Genius and the Mathematical Breakthrough of the Century]]> 6684592 A gripping and tragic tale that sheds rare light on the unique burden of genius  In 2006, an eccentric Russian mathematician named Grigori Perelman solved the Poincare Conjecture, an extremely complex topological problem that had eluded the best minds for over a century. A prize of one million dollars was offered to anyone who could unravel it, but Perelman declined the winnings, and in doing so inspired journalist Masha Gessen to tell his story. Drawing on interviews with Perelmanâ s teachers, classmates, coaches, teammates, and colleagues in Russia and the United Statesâ and informed by her own background as a math whiz raised in Russiaâ Gessen uncovered a mind of unrivaled computational power, one that enabled Perelman to pursue mathematical concepts to their logical (sometimes distant) end. But she also discovered that this very strength turned out to be Perelman's undoing and the reason for his withdrawal, first from the world of mathematics and then, increasingly, from the world in general.]]> 242 Masha Gessen 015101406X Josh 0 math-science 3.95 2009 Perfect Rigor: A Genius and the Mathematical Breakthrough of the Century
author: Masha Gessen
name: Josh
average rating: 3.95
book published: 2009
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<![CDATA[One, Two, Three...Infinity: Facts and Speculations of Science]]> 52670
One of the world's foremost nuclear physicists (celebrated for his theory of radioactive decay, among other accomplishments), George Gamow possessed the unique ability of making the world of science accessible to the general reader. He brings that ability to bear in this delightful expedition through the problems, pleasures, and puzzles of modern science.

In the pages of this book readers grapple with such crucial matters as whether it is possible to bend space , why a rocket shrinks , the " end of the world problem ," excursions into the fourth dimension , and a host of other tantalizing topics for the scientifically curious
  Brimming with amusing anecdotes and provocative problems, One Two Three . . . Infinity also includes over 120 delightful pen-and-ink illustrations by the author , adding another dimension of good-natured charm to these wide-ranging explorations.

". . . full of intellectual treats and tricks, of whimsy and deep scientific philosophy. It is highbrow entertainment at its best, a teasing challenge to all who aspire to think about the universe." —� New York Herald Tribune

Dover publishes an impressive collection of popular science books including technology and invention, space and time, basic machines and computers, forces and fields, chaos, biographies of Einstein and Newton, and much more.
Ìý±Õ±Õ>
384 George Gamow 0486256642 Josh 0 math-science 4.20 1947 One, Two, Three...Infinity: Facts and Speculations of Science
author: George Gamow
name: Josh
average rating: 4.20
book published: 1947
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From Here to Infinity 626958 Stewart, a particularly gifted mathematician and writer, shows us not only that math can be explained in everyday language, but that it can be downright fun as well. Puzzle solvers especially will delight in accounts of puzzles like Fermat's famous theorem, manifolds (a kind of mathematical origami in many dimensions), and the patterns in chaos. And what reader wouldn't want probability theory explained by demonstrating how to maximize one's lottery winnings?
According to From Here to Infinity , good mathematics has an air of economy and an element of surprise. One could easily make the same claim for this instructive, amusing, and sometimes mind-boggling book.]]>
336 Ian Stewart 0192832026 Josh 0 math-science 3.89 1987 From Here to Infinity
author: Ian Stewart
name: Josh
average rating: 3.89
book published: 1987
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The Math Olympian 24820709
Through persistence, perseverance, and the support of innovative mentors who inspire her with a love of learning, Bethany confronts these challenges and develops the creativity and confidence to reach her potential.

In training to become a world-champion "mathlete", Bethany discovers the heart of mathematics � a subject that’s not about memorizing formulas, but rather about problem-solving and detecting patterns to uncover truth, as well as learning how to apply the deep and unexpected connections of mathematics to every aspect of her life, including athletics, spirituality, and environmental sustainability.

As Bethany reflects on her long journey and envisions her exciting future, she realizes that she has shattered the misguided stereotype that only boys can excel in math, and discovers a sense of purpose that through mathematics, she can and she will make an extraordinary contribution to society.]]>
496 Richard Hoshino 146025872X Josh 0 math-science 4.51 2015 The Math Olympian
author: Richard Hoshino
name: Josh
average rating: 4.51
book published: 2015
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<![CDATA[Mathematics: A Very Short Introduction]]> 74645 of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questions
about the mathematical community (such as Is it true that mathematicians burn out at the age of 25?) It is the ideal introduction for anyone who wishes to deepen their understanding of mathematics.

About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds
of key topics, from philosophy to Freud, quantum theory to Islam.
]]>
143 Timothy Gowers 0192853619 Josh 0 math-science 3.87 2002 Mathematics: A Very Short Introduction
author: Timothy Gowers
name: Josh
average rating: 3.87
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A Tour of the Calculus 316793


"An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others."--New York Times Book Review]]>
331 David Berlinski 0679747885 Josh 0 math-science 3.69 1995 A Tour of the Calculus
author: David Berlinski
name: Josh
average rating: 3.69
book published: 1995
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<![CDATA[Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace]]> 616208 Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology.
Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.]]>
308 Leonard Mlodinow 0684865246 Josh 0 math-science 3.88 2001 Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace
author: Leonard Mlodinow
name: Josh
average rating: 3.88
book published: 2001
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<![CDATA[The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry]]> 233873
For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory.

The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.]]>
368 Mario Livio 0743258215 Josh 0 math-science 3.91 2005 The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry
author: Mario Livio
name: Josh
average rating: 3.91
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<![CDATA[Concrete Mathematics: A Foundation for Computer Science]]> 112243 672 Ronald Graham 0201558025 Josh 0 programming, math-science 4.34 1988 Concrete Mathematics: A Foundation for Computer Science
author: Ronald Graham
name: Josh
average rating: 4.34
book published: 1988
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<![CDATA[The Mathematical Experience: A National Book Award Winner]]> 1113522 464 Philip J. Davis 0395929687 Josh 0 math-science 4.04 1980 The Mathematical Experience: A National Book Award Winner
author: Philip J. Davis
name: Josh
average rating: 4.04
book published: 1980
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<![CDATA[The Road to Reality: A Complete Guide to the Laws of the Universe]]> 10638 The Road to Reality carefully explores the movement of the smallest atomic particles and reaches into the vastness of intergalactic space. Here, Penrose examines the mathematical foundations of the physical universe, exposing the underlying beauty of physics and giving us one the most important works in modern science writing.]]> 1099 Roger Penrose 0679776311 Josh 0 math-science 4.16 2004 The Road to Reality: A Complete Guide to the Laws of the Universe
author: Roger Penrose
name: Josh
average rating: 4.16
book published: 2004
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<![CDATA[The Golden Ratio: The Story of Phi, the World's Most Astonishing Number]]> 24081
The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.]]>
294 Mario Livio 0767908163 Josh 0 math-science 3.80 2002 The Golden Ratio: The Story of Phi, the World's Most Astonishing Number
author: Mario Livio
name: Josh
average rating: 3.80
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<![CDATA[Logicomix: An Epic Search for Truth]]> 6493321 This graphic novel recounts the spiritual odyssey of philosopher Bertrand Russell. In his agonized search for absolute truth, he crosses paths with thinkers like Gottlob Frege, David Hilbert & Kurt Gödel, & finds a passionate student in Ludwig Wittgenstein. But his most ambitious goal—to establish unshakable logical foundations of mathematics—continues to loom before him. Thru love & hate, peace & war, he persists in the mission threatening to claim both his career & happiness, finally driving him to the brink of insanity.
This story is at the same time a historical novel & an accessible explication of some of the biggest ideas of mathematics & modern philosophy. With rich characterizations & atmospheric artwork, it spins the pursuit of such ideas into a satisfying tale.
 Probing, layered, the book throws light on Russell’s inner struggles while setting them in the context of the timeless questions he tried to answer. At its heart, Logicomix is a story about the conflict between ideal rationality & the flawed fabric of reality.]]>
347 Apostolos Doxiadis 1596914521 Josh 0 math-science 4.05 2009 Logicomix: An Epic Search for Truth
author: Apostolos Doxiadis
name: Josh
average rating: 4.05
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<![CDATA[The Mathematical Universe: An Alphabetical Journey Through the Great Proofs, Problems, and Personalities]]> 275923
"Artfully, Dunham conducts a tour of the mathematical universe. . .he believes these ideas to be accessible to the audience he wantsto reach, and he writes so that they are." -- Nature

"If you want to encourage anyone's interest in math, get them TheMathematical Universe."
* New Scientist]]>
320 William Dunham 0471176613 Josh 0 math-science 4.19 1994 The Mathematical Universe: An Alphabetical Journey Through the Great Proofs, Problems, and Personalities
author: William Dunham
name: Josh
average rating: 4.19
book published: 1994
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<![CDATA[An Imaginary Tale: The Story of �-1]]> 357209 296 Paul J. Nahin 0691127980 Josh 5 favorites, math-science 3.97 1998 An Imaginary Tale: The Story of √-1
author: Paul J. Nahin
name: Josh
average rating: 3.97
book published: 1998
rating: 5
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Proofs from the Book 696238
..". Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999

..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999

This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."]]>
240 Martin Aigner 3540404600 Josh 0 math-science 4.41 1998 Proofs from the Book
author: Martin Aigner
name: Josh
average rating: 4.41
book published: 1998
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