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portada Algebraic Theory of Numbers: Translated From the French by Allan j. Silberger (Dover Books on Mathematics) (in English)
Type
Physical Book
Author
Publisher
Year
2008
Language
English
Pages
112
Format
Paperback
Dimensions
23.3 x 15.7 x 0.6 cm
Weight
0.16 kg.
ISBN
0486466663
ISBN13
9780486466668
Categories

Algebraic Theory of Numbers: Translated From the French by Allan j. Silberger (Dover Books on Mathematics) (in English)

Pierre Samuel (Author) · Dover Publications · Paperback

Algebraic Theory of Numbers: Translated From the French by Allan j. Silberger (Dover Books on Mathematics) (in English) - Samuel, Pierre

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Synopsis "Algebraic Theory of Numbers: Translated From the French by Allan j. Silberger (Dover Books on Mathematics) (in 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.

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