Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

As the title says, can anyone help me to find any book that shows how physical reasoning using concepts from classical/quantum mechanics and physics in general can enlighten us about mathematical problems/theorems? Second question,can you list some contemporary mathematician who subscribe to this view ,I know many russian mathematicians do like Vladimir Arnold, any others?

share|improve this question
    
A Primer of Infinitesimal Analysis, John L Bell. –  mistermarko Jul 26 at 6:25
    
Thanks.what's your review of it? –  Daniel Faust Montana Jul 27 at 4:45

3 Answers 3

The book you want is Mark Levi, The Mathematical Mechanic: Using Physical Reasoning to Solve Problems.

share|improve this answer
    
@mixed, you are forgiven. I haven't read it all the way through. What I did read of it, I thought was pretty good. –  Gerry Myerson Jul 26 at 4:14
    
I already have it,didn't read it,anything else? –  Daniel Faust Montana Jul 26 at 4:26
    
I'll take that as your way of saying thanks, but it leaves me puzzled; you just want to find these books, you don't actually want to read them? In any event, can you edit into your question a list of all the books you have already found, so we don't waste our efforts finding them for you? –  Gerry Myerson Jul 26 at 4:30
    
Sorry ,Thank you for being a person who wants to help, and I meant that I haven't read yet ,I got it just last week. –  Daniel Faust Montana Jul 26 at 4:36
    
that's also the only book I know who does that . –  Daniel Faust Montana Jul 26 at 4:39

I recommend "The Geometrical Language of Continuum Mechanics" by Marcelo Epstein. I still have some way to go to understand everything this book says, but he makes a strong case that differential geometry and the mechanics of a continuum dovetail nearly perfectly with each other.

Epstein states (I quote) "...the presence of continuum mechanics as a materialization of many of the important geometric notions is of invaluable help."

share|improve this answer
    
Thanks ,seems really interesting. –  Daniel Faust Montana Jul 29 at 19:48

A good one is Vladimir Arnold's Mathematical Understanding of Nature.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.