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Kevin wrote: "Hey, all! I just completed my first year of an associate of science degree at my local community college. I'll be taking Calc III, Linear Algebra, and Physics in the fall. I spent a lot of time on ..."

Yeah, you're almost at a point where you will learn enough about the varied fields where you can truly figure out what you are most interested in.

I am a philosophy professor specializing in epistemology and cognitive science. Maybe you all know that the first man to call himself a philosopher was Pythagoras- that mathematics is the source of intelligibility. Makes you wonder about the nature of intelligence, the structure of the cosmos, and this mathematical code that brings the two together. Pythagoras believed that God was the supreme mathematician. That when we learn math, we assimilate our minds to the mind of God. But if the cosmos arise randomly, what is math and how does it reveal the structure of nature?

Mathematics is an idealized model to approximate reality. Actual mathematics isn't in reality as far as I'm concerned. Reality is far too complex and even if we try to approximate better with adding layers noise into the approximations, they're still never going to be precisely that. This whole talk "the universe is math" is nonsense to me.

Hello everyone , I am about to graduate in few weeks and applied for Master's degree in Mathematics. Hope you are enjoying your books!

Happy PiDay everyone!

Hi Sara

I teach math at community colleges. However, I am taking a statistical modeling class.

Hi everybody,

I have been studying quantum physics for a few years as a hobby. I have a degree in Information Technology and have studied University-level maths for quite some time.
My current interest is in partial differential equations, but I can't find a really nice, comprehensive book about it. Can anybody please point me to a good book about this specific subject ? It does not have to be at introductory level (by the way, I am already familiar with ordinary differential equations). Thank you in advance!

I suggest you try : Partial Differential Equations and Boundary Value Problems
Nakhle Asmar (Prentice Hall).
Hope this will help!

Sara wrote: "I suggest you try : Partial Differential Equations and Boundary Value Problems
Nakhle Asmar (Prentice Hall).
Hope this will help!"

Thank you very much Sara, I see that this book has very good reviews and a few users consider it a solid textbook for the subject. Thanks again!

Hi! I'm currently aiming for a degree in computer science, operations research and statistics in terms of the math department. I was originally aiming for pure math, but after doing very poorly in real analysis and a course on rings and groups, I turned away from those studies and am now just focusing on the top three.

I'm just about finished my co-op, so I'm going to be back to be studying. My math/CS-related courses are: intro to AI, real-time programming, network flow, and applied linear models.

doing a Msc. research in artificial neural networks .

I got that frenzy about understanding mathematics, and I am looking for an advanced topic to study, am thinking of a subbranch of mathematical analysis like solving differencial equations, or complex analysis.
I'd be happy if you'd recommend some topics for me :)
Thanks

Dina, I might suggest you look at information theory as an area to delve into. It's interesting in it's own right, but could potentially find applications to your research in artificial neural networks.

I've recently been working on category theory and will start reading some algebraic number theory towards the end of the month.

Dina wrote: "I got that frenzy about understanding mathematics, and I am looking for an advanced topic to study, am thinking of a subbranch of mathematical analysis like solving differencial equations, or compl..."

Are you interested in Topology ? If Yes , I suggest you to take a look at

Data science

Saman wrote: "Dina wrote: "I got that frenzy about understanding mathematics, and I am looking for an advanced topic to study, am thinking of a subbranch of mathematical analysis like solving differencial equati..."
Seems an interesting field, thank you ..

Chris wrote: "Dina, I might suggest you look at information theory as an area to delve into. It's interesting in it's own right, but could potentially find applications to your research in artificial neural netw..."
Thanks for the good suggestion ..

I have my masters degree in pure mathematics. However,for the last 10 years, I have been teaching introductory statistics classes and loving it! Now I want to obtain my data science certification. To learn it and to teach it. BTW, it is estimated that the U.S. will need at least 300,000 data scientists.

Saman wrote: "Dina wrote: "I got that frenzy about understanding mathematics, and I am looking for an advanced topic to study, am thinking of a subbranch of mathematical analysis like solving differencial equati..."
Saman, I googled "Topology" as a math branch, and I found that it is concerned with studying surfaces when they are subjected to deformations, which is an interesting thing to think about.Yet I am not able to imagine the usefulness of that in real life. Would you give me some ideas ?
thank you .

Thanks everybody for the useful suggestions you've made to me. It seems I'm more attracted to pure than to applied mathematics,as I look at it as the language to describe things and a tool to solve problems in general, and as I'm not interested in solving a certain kind of a problem nowadays or being an expert in a specific subfield. So still waiting for more suggestions.
Thanks..

If you're interest is really pure maths, seeking 'usefulness in real life' first seems rather to be putting cart before horse. That said, the field of topological data analysis might interest you given your background-

The motivation is that sensible visualisation is almost always impossible for high dimensional data so the topological nature of such a dataset might tell us something interesting instead.

A textbook on applications is available here-
(I'm not sure how it measures up against Hatcher, which incidentally I just bought, but no harm taking a look as it appears to be free to read.)

Here's a company that seems to be successfully implementing this sort of analysis-

That is great advice, thanks Yasiru! I am currently studying Calculus II and I find it a good challenge. I was thinking of a minor in mathmatics, but now I am not sure if I have the motivation or time for it. Real world applications can prove to be motivating - I will check it out. Thanks again!

Dina wrote: "Saman wrote: "Dina wrote: "I got that frenzy about understanding mathematics, and I am looking for an advanced topic to study, am thinking of a subbranch of mathematical analysis like solving diffe..."

I'm not sure :D
When I started studing math my motivation was gaining better understanding of the world. I guess every part of math gives you a special vision, but recently I'm attracted to Cosmology, and I wanted to think about questions like Can the universe have a beginning, or can it be eternal? or what is it looks like ? ... So now i'm somewhere between math and physics , but Topology itself is pure math, and everyone has different motivation .
In the list that I mentioned before , the books : The Shape of Space and Intuitive Topology , are high school level and they give you a good understanding of the field .

Saman wrote: "In the list that I mentioned before , the books : The Shape of Space and Intuitive Topology , are high school level and they give you a good understanding of the field."

I will add those books as well - I enjoy reading simple books as they give a great overview on subjects. Usually specific enough to get the general concept, while simple enough to understand without in depth knowledge.

Ivan wrote: "That is great advice, thanks Yasiru! I am currently studying Calculus II and I find it a good challenge. I was thinking of a minor in mathmatics, but now I am not sure if I have the motivation or t..."

Happy to help. Is Calculus II equivalent to freshman calculus at university? If so, you might like to work through Rudin's Principles of Mathematical Analysis. There's an accompanying lecture series on YouTube (my review should link to it).

I've always liked maths despite its real-world applications, but I've been looking into a fair bit of applied maths lately (things like CS theory, statistical learning and financial mathematics). Apart from books, MOOCs (as on MIT OCW, edX and Coursera) make it easy to dip into a subject and get to grips with the motivations and possibilities.

Yasiru (reviews will soon be removed and linked to blog) wrote: ... you might like to work through Rudin's Principles of Mathematical Analysis. There's an accompanying lecture series on YouTube (my review should link to it).

Yes I think Calculus II would be freshman calculus at university, though I am a sophomore this year. It is integral calculus, introduces solving differential equations, and goes into particular series such as the Taylor series (we won't get to that for a few more weeks).

I will definitely read your review, and get Rudin's Principles of Mathematical Analysis - it is perfect that someone did a youtube series as I learn a lot more when I watch examples in addition to working through books.

Computer Science at AUT

Is this adult Rudin or baby Rudin? I study with Baby Rudin.

Randy wrote: "Is this adult Rudin or baby Rudin? I study with Baby Rudin."

Probably Baby, since Papa Rudin is titled "Real & Complex Analysis".

I had passion for maths from long time but discovered it recently. currently reading elements of geometry by Richard Fitzpatrick

Computer Science

one of the best books to learn mathematic easily.exprience of being in private math class.genius mathematician by milad hashemi.with this fantastic book you learn mathematic from basic topics and proceed to higher levels.

Data science