Alaca, Şaban, 1964-

Introductory algebraic number theory / Şaban Alaca, Kenneth S. Williams. - 1 online resource (xvii, 428 pages)

Includes bibliographical references (p. 423-424) and index.

Integral domains --
Euclidean domains --
Noetherian domains --
Elements integral over a domain --
Algebraic extensions of a field --
Algebraic number fields --
Integral bases --
Dedekind domains --
Norms of ideals --
Decomposing primes in a number field --
Units in real quadratic fields --
The ideal class group --
Dirichlet's unit theorem --
Applications to diophantine equations.

Suitable for senior undergraduates and beginning graduate students in mathematics, this book is an introduction to algebraic number theory at an elementary level. Prerequisites are kept to a minimum, and numerous examples illustrating the material occur throughout the text. References to suggested readings and to the biographies of mathematicians who have contributed to the development of algebraic number theory are provided at the end of each chapter. Other features include over 320 exercises, an extensive index, and helpful location guides to theorems in the text.

0521832500 9780511791260

2003051243


Algebraic number theory--Textbooks.


Electronic books.

QA247 / .A43 2012

512/.74