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Paperback Numbers and Geometry Book

ISBN: 1461268672

ISBN13: 9781461268673

Numbers and Geometry

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Format: Paperback

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Book Overview

NUMBERS AND GEOMETRY is a beautiful and relatively elementary account of a part of mathematics where three main fields-algebra, analysis and geometry-meet. The aim of this book is to give a broad view of these subjects at the level of calculus, without being a calculus (or a pre- calculus) book. It can be read by any well prepared student entering university and will appeal to graduate students and researchers in mathematics.

Customer Reviews

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A starting point for independent mathematical explorers

This is a book on elementary mathematics that treats its readers as curious human beings rather than intellectually spineless fools that must be drilled. There are excellent explanations of a lot of mathematics--some common, some unusual--and there are exercises that are actually interesting. Even more important, I believe, is that it opens so many doors for further reading, not least in areas that many undergraduates never get to see: classical geometry, classical number theory, foundations, non-Euclidean geometry, elliptic curves, algebraic number theory, projective geometry, etc. Also unique is the way in which every topic comes with truly meaningful and interesting applications: complex numbers lead to Gaussian integers and Fermat's two squares theorem, conic sections lead to projective geometry, trigonometry leads to Dehn's solution of Hilbert's third problem, etc.
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