Elements of Algebra

Geometry, Numbers, Equations

By:

John Stillwell

Format:

Hardback

Series:

Undergraduate Texts in Mathematics

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Description

This book is a concise, self-contained introduction to abstract algebra which stresses its unifying role in geometry and number theory. There is a strong emphasis on historical motivation - both to trace abstract concepts to their concrete roots, but also to show the power of new ideas to solve old problems. This approach shows algebra as an integral part of mathematics and makes this text more informative to both beginners and experts than others. Classical results of geometry and number theory (such as straightedge-and-compass construction and its relation to Fermat primes) are used to motivate and illustrate algebraic techniques, and classical algebra itself (solutions of cubic and quartic equations) is used to motivate the problem of solvability by radicals and its solution via Galois theory. Modern methods are used whenever they are clearer or more efficient, but technical machinery is introduced only when needed. The lively style and clear expositions make this book a pleasure to read and to learn from.

Release date NZ

August 19th, 1994

Author

John Stillwell

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Undergraduate

Illustrations

XII, 184 p.

Pages

184

Series

Undergraduate Texts in Mathematics

Dimensions

156x234x12

ISBN-13

9780387942902

Product ID

2048649

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