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Fermat's Last Theorem
Harold M. Edwards
其他書名
A Genetic Introduction to Algebraic Number Theory
出版
Springer Science & Business Media
, 2000-01-14
主題
Mathematics / Number Theory
Mathematics / Probability & Statistics / Stochastic Processes
ISBN
0387950028
9780387950020
URL
http://books.google.com.hk/books?id=_IxN-5PW8asC&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.