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Algebraic Theory of Numbers: Translated from the French by Allan J. Silberger
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Algebraic Theory of Numbers: Translated from the French by Allan J. Silberger
Our Price:$10.95
Availability:In Stock
Environment:Made in USA
Author/Editor: Pierre Samuel
ISBN 10:0486466663
Product Info:Details, Table of Contents
Algebraic number theory introduces students not only to new algebraic notions but also to related concepts: groups, rings, fields, ideals, quotient rings and quotient fields, homomorphisms and isomorphisms, modules, and vector spaces. Author Pierre Samuel notes that students benefit from their studie...  read more
 


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Product Description:

Algebraic number theory introduces students not only to new algebraic notions but also to related concepts: groups, rings, fields, ideals, quotient rings and quotient fields, homomorphisms and isomorphisms, modules, and vector spaces. Author Pierre Samuel notes that students benefit from their studies of algebraic number theory by encountering many concepts fundamental to other branches of mathematics—algebraic geometry, in particular.
This book assumes a knowledge of basic algebra but supplements its teachings with brief, clear explanations of integrality, algebraic extensions of fields, Galois theory, Noetherian rings and modules, and rings of fractions. It covers the basics, starting with the divisibility theory in principal ideal domains and ending with the unit theorem, finiteness of the class number, and the more elementary theorems of Hilbert ramification theory. Numerous examples, applications, and exercises appear throughout the text.
Reprint of the Hermann, Paris, and Houghton Mifflin Company, Boston, 1970 edition.

Product Details:

ISBN 10: 0486466663
ISBN 13: 9780486466668
Author/Editor: Pierre Samuel
Format: Book
Page Count: 112
Dimensions: 6 1/8 x 9 1/4
Publication date: May 2008
Table of Contents: Click here to view the Table of Contents

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