Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory: 50 (Graduate Texts in Mathematics, 50) - Hardcover

Edwards, Harold M.

 
9780387902302: Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory: 50 (Graduate Texts in Mathematics, 50)
Hardcover
ISBN 10: 0387902309 ISBN 13: 9780387902302
Publisher: Springer, 1977

Synopsis

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.

"synopsis" may belong to another edition of this title.

Publisher
Springer
Publication date
1977
Language
English
ISBN 10 
0387902309
ISBN 13 
9780387902302
Binding
Hardcover
Number of pages
422

Other Popular Editions of the Same Title

9783540902300: Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory: Vol 50 (Graduate Texts in Mathematics)

Featured Edition

ISBN 10:  3540902309 ISBN 13:  9783540902300
Publisher: Springer-Verlag Berlin and Heide..., 1977
Hardcover