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Mathematics for Human Flourishing
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October 2024 - Mathematics
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Intuitively, I knew what needed to happen to solve the chapter 1 brownie problem. But I didn't really understand it until I read Chris's very simple explanation at the end of his letter in Chapter 4. And then I realized it's basic grade school geometry, though I don't remember them ever teaching us about brownies in grade school :-). I'm definitely going to try the chapter 2 sudoku puzzle.


I played around with it a bit and it works for 2 digit numbers but if you add those 2 digits and get a number 10 or greater, you have to remember to carry the 1.

Take 81, for example. Take the 1 and elevate that to the power of 2. This will be your first digit from right to left. If this is a number higher than 9, you carry it to the next digit.
Then, take the 8 and 1, multiply them, and multiply that by 2 (sum anything you carried on from the first step). In this case it's 16. Take the 6 and this will be your second digit from right to left. Pass the 1 to the next step.
Final step, take 8 and elevate it to the power of 2, so 64. Add 1 from the previous step and these will be you last digits.
You answer will be 6,561 (from right to left: 1 from the first step, 6 from the second step, and 65 from the final step).

Hector wrote: "Nice one! Don't know if the book mentions this but you can do a similar trick to elevate to the power of 2 any two-digit number."
Here's another little trick you can do in your head (maybe with a bit of practice). Ask someone to pick a multiple of 10 from 10 to 100. (Call it "a"). Now them to pick a number from 1 to 10, (Call it "b"). Then say that you will multiply a+b times a-b. Then you can immediately state the product, because it's simply a^2 - b^2.
For example, if a = 60 and b = 3, then the product of 63 x 57 is 3600 - 9 = 3591.
Here's another little trick you can do in your head (maybe with a bit of practice). Ask someone to pick a multiple of 10 from 10 to 100. (Call it "a"). Now them to pick a number from 1 to 10, (Call it "b"). Then say that you will multiply a+b times a-b. Then you can immediately state the product, because it's simply a^2 - b^2.
For example, if a = 60 and b = 3, then the product of 63 x 57 is 3600 - 9 = 3591.

Here's another little trick you can do in your head..."
Nice! That builds on Hector's shortcut. I will be a hit at cocktail parties.

The main good: I really enjoyed the content in each chapter that involved Jackson, because it felt like the virtues and messages Su was aiming for were being brought to light and actually demonstrated. The interview with Jackson in the epilogue was also a favourite part, for the same reasons.
The main bad: I'm uncertain who the audience is for this book. Su says it's math novices, because he wants to show how anyone can engage mathematics. However, the self-help style, and mostly fluff content, made me instead feel he was preaching to the converted in order to make them change their approaches and stop scaring others away.


If you want some help, The Great Courses Plus has a streaming app that has some math courses that I really enjoyed and there are lecture notes you can download to go with the course. It allowed me to retake Algebra and Precalculus and now I'm on Calculus though I'm going pretty slow with it. I really liked the Precalculus class. I bet you could get it free at the library too.

It's no problem and your welcome!
Jessica wrote: "David wrote: "Hector wrote: "Nice one! Don't know if the book mentions this but you can do a similar trick to elevate to the power of 2 any two-digit number."
Here's another little trick you can d..."
As I read the book further ... this trick is mentioned, along with many others!
Here's another little trick you can d..."
As I read the book further ... this trick is mentioned, along with many others!
I've been thinking about the problem, to prove that if there are 5 points anywhere on a sphere, at least 4 of them will be on or inside a hemisphere.
I can see this intuitively, but to prove it? Not so easy for me! (I'm still thinking about it ...)
I can see this intuitively, but to prove it? Not so easy for me! (I'm still thinking about it ...)
I finished the book. It starts out great, with interesting mathematics puzzles and problems. But then it goes into philosophy, and becomes repetitious and boring.

I couldn't get into this book. I just didn't get what the author was saying, and it was too boring for me to work at it. Maybe it was just that so much else has been going on, with elections and all, that I couldn't focus, but there just wasn't anything that interested me in the first few chapters, so I gave up. Too many other things to tempt me away.
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