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Numbers and geometry John Stillwell Published by Springer (1998) |
Book description
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. Its
roots are in arithmetic and geometry, the two opposite poles of mathematics, and
the source of historic conceptual conflict. The resolution of this conflict, and
its role in the development of mathematics, is one of the main stories in the
book. The key is algebra, which brings arithmetic and geometry together, and
allows them to flourish and branch out in new directions.
Stillwell has chosen an array of exciting and worthwhile topics and elegantly
combines mathematical history with mathematics. He covers the main ideas of
Euclid--geometry, arithmetic, and the theory of real numbers--but enriches them
with 2000 years of insights and results.
About the Author
John Stillwell is an Associate Professor in the Department of Mathematics at Monash University.
Borrow it: Monash University Library members can borrow this book. View the catalogue record for details.
Buy it: This book can be purchased online from amazon.com.
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