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Algebraic Theory Of Numbers: Translated from the French by Allan J. Silberger (Dover Books on Mathematics) - Softcover

Samuel, Pierre

 
9780486466668: Algebraic Theory Of Numbers: Translated from the French by Allan J. Silberger (Dover Books on Mathematics)
Softcover
ISBN 10: 0486466663 ISBN 13: 9780486466668
Verlag: Dover Publications Inc., 2008

Inhaltsangabe

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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Verlag
Dover Publications Inc.
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
0486466663
ISBN 13 
9780486466668
Einband
Taschenbuch
Anzahl der Seiten
109
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Soc. Agr. La Raia Ss
http://www.la-raia.it

Strada Monterotondo, 79
Novi Ligure
15067
Italien