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Introductory algebraic number theory / Şaban Alaca, Kenneth S. Williams.

By: Alaca, Şaban, 1964-

Contributor(s): Williams, Kenneth S

Language: English Publisher: Cambridge ; New York : Cambridge University Press, 2012Description: 1 online resource (xvii, 428 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 0521832500; 9780511791260Subject(s): Algebraic number theory -- TextbooksGenre/Form: Electronic books.DDC classification: 512/.74 LOC classification: QA247 | .A43 2012Online resources: Full text available from Cambridge University Press Click here to view

Contents:

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.

Summary: 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.

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Item type	Current location	Home library	Call number	Status	Date due	Barcode	Item holds
EBOOK	COLLEGE LIBRARY	COLLEGE LIBRARY	512.74 Al115 2012 (Browse shelf)	Available		CL-46123

Total holds: 0

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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.

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