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Algebraic Theory of Numbers
Algebraic Theory of Numbers
📖 Book - PDF

Algebraic Theory of Numbers

Translated from the French by Allan J. Silberger
Pierre Samuel
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pages
112 pages
language
English
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ePUB (mobile friendly) and PDF
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📖 Book - PDF

Algebraic Theory of Numbers

Translated from the French by Allan J. Silberger
Pierre Samuel
Book details
Table of contents

About This Book

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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Information

Publisher
Dover Publications
Year
2013
ISBN
9780486318271
Topic
Mathematics
Subtopic
Number Theory

Table of contents