Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory
Harold M. Edwards
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.
Kategorije:
Godina:
2000
Izdanje:
1st ed. 1977. Corr. printing
Izdavač:
Springer
Jezik:
english
Strane:
428
ISBN 10:
3540902309
ISBN 13:
9783540902300
Serije:
Graduate Texts in Mathematics
Fajl:
DJVU, 10.94 MB
IPFS:
,
english, 2000
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