Advanced Algebra by Anthony W. Knapp.

Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. Key topics and fea...

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Bibliographic Details
Main Author:	Knapp, Anthony W. (Author)
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2008.
Edition:	1st ed. 2008.
Series:	Cornerstones, Springer eBook Collection.
Subjects:	Algebra. Nonassociative rings. Rings (Algebra). Field theory (Physics). Algebraic geometry. Number theory. Category theory (Mathematics). Homological algebra. Electronic resources (E-books)
Online Access:	Click to view e-book
Holy Cross Note:	Loaded electronically. Electronic access restricted to members of the Holy Cross Community.

Table of Contents:

Transition to Modern Number Theory
Wedderburn–Artin Ring Theory
Brauer Group
Homological Algebra
Three Theorems in Algebraic Number Theory
Reinterpretation with Adeles and Ideles
Infinite Field Extensions
Background for Algebraic Geometry
The Number Theory of Algebraic Curves
Methods of Algebraic Geometry.

Advanced Algebra by Anthony W. Knapp.

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