An edition of Numbers and Geometry (1998)

Numbers and Geometry

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Last edited by MARC Bot
July 5, 2019 | History
An edition of Numbers and Geometry (1998)

Numbers and Geometry

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  • 0 Currently reading
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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 treatment 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 exercises at the end of each section, so new ideas can be instantly tested and reinforced.

Publish Date
Publisher
Springer New York
Language
English
Pages
343

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Previews available in: English

Edition Availability
Cover of: Numbers and Geometry
Numbers and Geometry
Sep 30, 2011, Springer
paperback
Cover of: Numbers and Geometry
Numbers and Geometry
1998, Springer New York
electronic resource / in English

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Book Details


Table of Contents

Arithmetic
Geometry
Coordinates
Rational points
Trigonometry
Finite arithmetic
Complex numbers
Conic sections
Elementary functions.

Edition Notes

Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.

Published in
New York, NY
Series
Undergraduate Texts in Mathematics, Reading in Mathematics, Undergraduate Texts in Mathematics, Reading in Mathematics

Classifications

Dewey Decimal Class
512.7
Library of Congress
QA241-247.5

The Physical Object

Format
[electronic resource] /
Pagination
1 online resource (xiv, 343 p.)
Number of pages
343

ID Numbers

Open Library
OL27077943M
Internet Archive
numbersgeometry00stil_925
ISBN 10
1461268672, 1461206871
ISBN 13
9781461268673, 9781461206873
OCLC/WorldCat
853265961

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