Algebraic Theory of Numbers

Translated from the French by Allan J. Silberger

Nonfiction, Science & Nature, Mathematics, Number Theory
Cover of the book Algebraic Theory of Numbers by Pierre Samuel, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Pierre Samuel ISBN: 9780486318271
Publisher: Dover Publications Publication: April 9, 2013
Imprint: Dover Publications Language: English
Author: Pierre Samuel
ISBN: 9780486318271
Publisher: Dover Publications
Publication: April 9, 2013
Imprint: Dover Publications
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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Dover Publications

Cover of the book Paris Symphonies Nos. 82-87 in Full Score by Pierre Samuel
Cover of the book The Republic by Pierre Samuel
Cover of the book The Art of Sacrifice in Chess by Pierre Samuel
Cover of the book Painters of the Ashcan School by Pierre Samuel
Cover of the book The Malleus Maleficarum of Heinrich Kramer and James Sprenger by Pierre Samuel
Cover of the book Essential French Grammar by Pierre Samuel
Cover of the book A History of Japanese Mathematics by Pierre Samuel
Cover of the book The Sun, The Idea & Story Without Words by Pierre Samuel
Cover of the book Quantum Mechanics and Path Integrals by Pierre Samuel
Cover of the book Thermoelectricity by Pierre Samuel
Cover of the book De Profundis by Pierre Samuel
Cover of the book Calculus Refresher by Pierre Samuel
Cover of the book Famous Civil War Documents and Speeches by Pierre Samuel
Cover of the book An Introduction to Ancient Egyptian Literature by Pierre Samuel
Cover of the book Fantastic Beasts of the Nineteenth Century by Pierre Samuel
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy