Item description for From Number Theory to Physics by P. Cartier...
Various developments in physics have involved many questions related to number theory, in an increasingly direct way. This trend is especially visible in two broad families of problems, namely, field theories, and dynamical systems and chaos. The 14 chapters of this book are extended, self-contained versions of expository lecture courses given at a school on "Number Theory and Physics" held at Les Houches for mathematicians and physicists. Most go as far as recent developments in the field. Some adapt an original pedagogical viewpoint.
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Est. Packaging Dimensions: Length: 9.29" Width: 6.3" Height: 1.65" Weight: 2.47 lbs.
Release Date May 2, 2001
ISBN 3540533427 ISBN13 9783540533429
Availability 94 units. Availability accurate as of Jan 21, 2017 08:57.
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Reviews - What do customers think about From Number Theory to Physics?
I'm no expert Oct 4, 2000
Since no one else has reviewed this I'll say a bit about it. The book consists of extensive notes, written up after lecture series on each topic, and for the most part they are very clear and useful as introductions. Only the notes on Zeta functions seem to assume you were in the audience for the lecture!
Bos on Riemann surfaces, and Stark on algebraic numbers and Galois theory, are tremendously clear and informative, on the basic math and also on the farther reaches relating it to number theory and physics. Those happen to be the ones I've read most. The chapters on elliptic curves, modular forms, p-adic analysis, are all very nice. I have not looked at the more physical chapters.
The chapters assume basic real and complex analysis, but not very much. You need to be able to work with abstraction on the level of non-Archimedean metrics. If that is the limit of your background, then you'll have to be able to read about math that is not explained in full detail all the time, but is clearly layed out.