Algebraic Theory of Numbers: Translated from the French by Allan J. Silberger

Algebraic number theory introduces students not only to new algebraic notions but also to related concepts: groups,...
BD$16.47 BMD
BD$16.47 BMD
SKU: 9780486466668
Product Type: Books
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Author: Pierre Samuel
Format: Paperback
Language: English
Subtotal: BD$16.47
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Algebraic Theory of Numbers: Translated from the French by Allan J. Silberger by Samuel, Pierre

Algebraic Theory of Numbers: Translated from the French by Allan J. Silberger

BD$16.47

Algebraic Theory of Numbers: Translated from the French by Allan J. Silberger

BD$16.47
Author: Pierre Samuel
Format: Paperback
Language: English
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.

Author: Pierre Samuel
Publisher: Dover Publications
Published: 05/19/2008
Pages: 112
Binding Type: Paperback
Weight: 0.35lbs
Size: 9.16h x 6.19w x 0.23d
ISBN: 9780486466668

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