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Ask HN: Are there books for mathematics like Feynman's lectures on physics?

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Re: Ask HN: Are there books for mathematics like Feynman's lectures on physics?

#51
"Mathematics : Its Content, Methods and Meaning" by A. D. Aleksandrov, A. N. Kolmogorov ,M. A. Lavrent'ev. (3 Volumes)

This is a classic and exactly what you are seeking for. I think it was originally published in 1962.

https://www.goodreads.com/book/show/405880.Mathematics

https://www.amazon.com/Mathematics-Content-Methods-Meaning-V...

Re: Ask HN: Are there books for mathematics like Feynman's lectures on physics?

#54
Mathematics and Logic by Mark Kac and Stan Ulam (1992 Dover paperback, ISBN 978-0486670850) [1]

Mathematics, Form and Function by Saunders Mac Lane (1986 Springer-Verlag hardcover, ISBN 0-387-96217-4) [2]

[1]: https://www.cut-the-knot.org/books/kac/index.shtml

[2]: https://en.wikipedia.org/wiki/Mathematics,_Form_and_Function

Re: Ask HN: Are there books for mathematics like Feynman's lectures on physics?

#56

My recommendation below is not the equivalent of a Feynman's series for math, but one that is pegged much lower, for someone interested in basic remedial math. It is called "Who is Fourier: A Mathematical Adventure". I was tremendously surprised by this unusual gem of a book. It covers the range from basic arithmetic to logarithms, trigonometry, calculus to fourier series. https://www.amazon.com/Who-Fourier-Mathemati…

And it's only $975!

Re: Ask HN: Are there books for mathematics like Feynman's lectures on physics?

#60

Earlier quoted context omitted.

Yeah, he was like that in person as well. When I was an undergraduate, he would "teach" a seminar on Tuesday afternoons called "PhysX" where you could go and ask any question you wanted. He'd go up to the blackboard and extemporaneously write things down and explain things in such a way that thought you really understood. But when you got back to your room and tried to replicate the chain of reasoning, there were alw…

I had a teacher in the University who took some courses taught by Feynman and had the same experience. He even tried to record some of the lectures, but the result was similar. While he was listening, he felt like everything was very clear. But as soon as he stopped the tape, nothing made sense anymore.

The funny thing is, if I remember his autobiographies correctly, he wouldn't let anyone else get away with that. I think he said that if he didn't understand something, he would always ask about it.
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