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Numbers and Geometry

ISBN-10: 0387982892

ISBN-13: 9780387982892

Edition: 1998

Authors: John Stillwell, F. W. Gehring, P. R. Halmos

List price: $64.95
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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 believes that most of mathematics is about numbers, curves and functions, and the links between these concepts can be suggested by a thorough study of simple examples, such as the circle and the square. This book covers the main ideas of Euclid--geometry, arithmetic and the theory of real numbers, but with 2000 years of extra insights attached. NUMBERS AND GEOMETRY presupposes only high school algebra and therefore can be read by any well prepared student entering university. Moreover, this book will be popular with graduate students and researchers in mathematics because it is such an attractive and unusual treatement of fundamental topics. Also, it will serve admirably in courses aimed at giving students from other areas a view of some of the basic ideas in mathematics. There is a set of well- written execises at the end of each section, so new ideas can be instantly tested and reinforced.
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Book details

List price: $64.95
Copyright year: 1998
Publisher: Springer
Publication date: 10/30/1997
Binding: Hardcover
Pages: 343
Size: 6.50" wide x 9.75" long x 0.75" tall
Weight: 1.386
Language: English

Rational points
Finite arithmetic
Complex numbers
Conic sections
Elementary functions