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

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

By: Pierre Samuel

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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.
AvailabilityUsually ships in 24 to 48 hours
ISBN 100486466663
ISBN 139780486466668
Author/EditorPierre Samuel
FormatBook
Page Count112
Dimensions6 1/8 x 9 1/4

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