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Fermat's Last Theorem: A Genetic Introduction To Algebraic Number Theory NEW
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Located in: Woodbridge, Virginia, United States
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eBay item number:157410892241
Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- Item Height
- 0.3 in
- ISBN
- 9780387902302
About this product
Product Identifiers
Publisher
Springer New York
ISBN-10
0387902309
ISBN-13
9780387902302
eBay Product ID (ePID)
159446
Product Key Features
Number of Pages
Xv, 407 Pages
Language
English
Publication Name
Fermat's Last Theorem : a Genetic Introduction to Algebraic Number Theory
Subject
Number Theory
Publication Year
1977
Type
Textbook
Subject Area
Mathematics
Series
Graduate Texts in Mathematics Ser.
Format
Hardcover
Dimensions
Item Weight
28.6 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
77-008222
Series Volume Number
50
Number of Volumes
1 vol.
Illustrated
Yes
Table Of Content
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.
Synopsis
This 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 Number
QA241-247.5
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