Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory
Author:   Harold M. Edwards
Publisher:   Springer-Verlag New York Inc.
Edition:   1st ed. 1977. Corr. printing 1996
Volume:   50
ISBN:  

9780387902302


Pages:   407
Publication Date:   18 July 1977
Format:   Hardback
Availability:   Out of stock   Availability explained
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Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory


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Overview

This book is an introduction to algebraic number theory via the famous problem of ""Fermat's Last Theorem."" The exposition follows the historical development of the problem, beginning with the work of Fermat and ending with Kummer's theory of ""ideal"" factorization, by means of which the theorem is proved for all prime exponents less than 37. The more elementary topics, such as Euler's proof of the impossibilty of x+y=z, are treated in an elementary way, and new concepts and techniques are introduced only after having been motivated by specific problems. The book also covers in detail the application of Kummer's ideal theory to quadratic integers and relates this theory to Gauss' theory of binary quadratic forms, an interesting and important connection that is not explored in any other book.

Full Product Details

Author:   Harold M. Edwards
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   1st ed. 1977. Corr. printing 1996
Volume:   50
Dimensions:   Width: 15.50cm , Height: 2.50cm , Length: 23.50cm
Weight:   0.811kg
ISBN:  

9780387902302


ISBN 10:   0387902309
Pages:   407
Publication Date:   18 July 1977
Audience:   College/higher education ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

1 Fermat.- 2 Euler.- 3 From Euler to Kummer.- 4 Kummer’s theory of ideal factors.- 5 Fermat’s Last Theorem for regular primes.- 6 Determination of the class number.- 7 Divisor theory for quadratic integers.- 8 Gauss’s theory of binary quadratic forms.- 9 Dirichlet’s class number formula.- Appendix: The natural numbers.- Answers to exercises.

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