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An Illustrated Theory of Numbers

4.18  ·  Rating details ·  11 ratings  ·  2 reviews
An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history.

Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments
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Hardcover, 321 pages
Published May 1st 2017 by American Mathematical Society
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Bob Woodley
Jan 01, 2019 rated it really liked it
An extremely visual way to learn the basics of number theory.

One highlight for me was his explanations of Gaussian primes and Eisenstein primes. And it was in this book that I learned of Conway's topographs, which are the doorway to intuitions about quadratic forms.

So, I strongly recommend. One quibble: it would be nice if the author indicated spent more time explaining the motivation for his explanations before simply diving in.
Amar Pai
Jul 18, 2019 rated it really liked it
The modular worlds chapters were illuminating. Illustrations and visual examples really help
Carl Lund
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Sep 10, 2018
Alberto Trombetta
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Bob Woodley
Jan 01, 2019 rated it really liked it
An extremely visual way to learn the basics of number theory.

One highlight for me was his explanations of Gaussian primes and Eisenstein primes. And it was in this book that I learned of Conway's topographs, which are the doorway to intuitions about quadratic forms.

So, I strongly recommend. One quibble: it would be nice if the author indicated spent more time explaining the motivation for his explanations before simply diving in.
Amar Pai
Dec 16, 2018 rated it really liked it
The modular worlds chapters were illuminating. Illustrations and visual examples really help
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