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Numbers and Geometry (Undergraduate Texts in Mathematics)

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Numbers and Geometry (Undergraduate Texts in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

Numbers and Geometry is a beautiful and relatively an elementary account of the part of mathematics where algebra, analysis and geometry meet. Stillwell has chosen an array of exciting and worthwhile topics, and elegantly combines mathematics with mathematical history. This book covers the main ideas of Euclid, but with 2000 years of extra insights attached. It can be read by any well prepared student entering college.

Synopsis:

A beautiful and relatively elementary account of a part of mathematics where three main fields - algebra, analysis and geometry - meet. The book provides a broad view of these subjects at the level of calculus, without being a 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. Stillwell has chosen an array of exciting and worthwhile topics and elegantly combines mathematical history with mathematics. He covers the main ideas of Euclid, but with 2000 years of extra insights attached. Presupposing only high school algebra, it can be read by any well prepared student entering university. Moreover, this book will be popular with graduate students and researchers in mathematics due to its attractive and unusual treatment of fundamental topics. A set of well-written exercises at the end of each section allows new ideas to be instantly tested and reinforced.

Description:

Includes bibliographical references (p. 311-315) and index.

Table of Contents

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

Product Details

ISBN:
9780387982892
Editor:
Gehring, F. W.
Author:
Stillwell, John
Author:
Stiilwell, John
Author:
Gehring, F. W.
Publisher:
Springer
Location:
New York:
Subject:
General
Subject:
Mathematics
Subject:
Geometry - General
Subject:
Geometry
Subject:
Number Theory
Subject:
Mathematics - General
Copyright:
Edition Number:
1
Edition Description:
Book
Series:
Undergraduate Texts in Mathematics
Series Volume:
97-02
Publication Date:
19971030
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
357
Dimensions:
235 x 155 mm 1520 gr

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Numbers and Geometry (Undergraduate Texts in Mathematics) New Hardcover
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$72.50 In Stock
Product details 357 pages Springer-Verlag - English 9780387982892 Reviews:
"Synopsis" by , Numbers and Geometry is a beautiful and relatively an elementary account of the part of mathematics where algebra, analysis and geometry meet. Stillwell has chosen an array of exciting and worthwhile topics, and elegantly combines mathematics with mathematical history. This book covers the main ideas of Euclid, but with 2000 years of extra insights attached. It can be read by any well prepared student entering college.
"Synopsis" by , A beautiful and relatively elementary account of a part of mathematics where three main fields - algebra, analysis and geometry - meet. The book provides a broad view of these subjects at the level of calculus, without being a 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. Stillwell has chosen an array of exciting and worthwhile topics and elegantly combines mathematical history with mathematics. He covers the main ideas of Euclid, but with 2000 years of extra insights attached. Presupposing only high school algebra, it can be read by any well prepared student entering university. Moreover, this book will be popular with graduate students and researchers in mathematics due to its attractive and unusual treatment of fundamental topics. A set of well-written exercises at the end of each section allows new ideas to be instantly tested and reinforced.
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