Picture 1 of 2

Stock photo

Fermat's Last Theorem : A Genetic Introduction to Algebraic Numbe - Picture 1 of 2

Fermat's Last Theorem : A Genetic Introduction to Algebraic Numbe - Picture 2 of 2

Graduate Texts in Mathematics Ser.: Fermat's Last Theorem : A Genetic Introduction to Algebraic Number Theory by Harold M. Edwards (1977, Hardcover)

Better World Books West (349744)

98.6% positive feedback

Price:

US $39.81

(inclusive of GST)

ApproximatelyS$ 51.14

+ $23.81 shipping

Estimated delivery Wed, 9 Jul - Fri, 18 Jul

Returns:

30 days return. Buyer pays for return shipping. If you use an eBay shipping label, it will be deducted from your refund amount.

Condition:

Very Good

About this product

Product Identifiers

PublisherSpringer New York

ISBN-100387902309

ISBN-139780387902302

eBay Product ID (ePID)159446

Product Key Features

Number of PagesXv, 407 Pages

Publication NameFermat's Last Theorem : a Genetic Introduction to Algebraic Number Theory

LanguageEnglish

Publication Year1977

SubjectNumber Theory

TypeTextbook

Subject AreaMathematics

AuthorHarold M. Edwards

SeriesGraduate Texts in Mathematics Ser.

FormatHardcover

Dimensions

Item Weight28.6 Oz

Item Length9.3 in

Item Width6.1 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN77-008222

Series Volume Number50

Number of Volumes1 vol.

IllustratedYes

Table Of Content1 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.

SynopsisThis book is a genetic introduciton to algebraic number theory which follows the development of the subject in the work of Fermat, Kummer and others, motivating new ideas and techniques by explaining the problems which led to their creation. The central problem is the one indicated in the title, but many other basic questions of algebraic number thoery are also treated., 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.

LC Classification NumberQA241-247.5