A survey of modern algebra /

By:

Birkhoff, Garrett

Contributor(s):

Mac Lane, Saunders

Material type: Text

TextPublication details: New York : Macmillan; London : Collier-Macmillan, c1965.Edition: 3rd edDescription: x, 437 p. :illSubject(s):

DDC classification:

512.8 BIR

LOC classification:

QA251 .B5 1965

Summary: In detail, Chapters 1-5 of the book center around the theory of linear and polynomial equations in commutative rings. Chapter 6 introduces non-commutative algebra through its simplest and most fundamental concept: that of a group. The group concept is applied systematically in Chapters 7 through 10, on vector spaces and matrices. Chapter 11 includes a completely revised introduction to Boolean algebra and lattice theory. Chapter 12 follows by a brief discussion of transfinite numbers. Finally, the last three chapters provide an introduction to general commutative algebra and arithmetic: ideals and quotient rings, extensions of fields, algebraic numbers and their factorization, and Galois theory.

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
Monograph & others	CBN HQ Library General Stacks	Non-fiction	512.8 BIR (Browse shelf(Opens below))	Available		31008100138656

Includes index.

Includes bibliographical references: p. 423-425.

In detail, Chapters 1-5 of the book center around the theory of linear and polynomial equations in commutative rings. Chapter 6 introduces non-commutative algebra through its simplest and most fundamental concept: that of a group. The group concept is applied systematically in Chapters 7 through 10, on vector spaces and matrices. Chapter 11 includes a completely revised introduction to Boolean algebra and lattice theory. Chapter 12 follows by a brief discussion of transfinite numbers. Finally, the last three chapters provide an introduction to general commutative algebra and arithmetic: ideals and quotient rings, extensions of fields, algebraic numbers and their factorization, and Galois theory.

ne 01/03/2018

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