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Algebra

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ISBN-10: 0821816462

ISBN-13: 9780821816462

Edition: 3rd (Revised)

Authors: Saunders Mac Lane, Garrett D. Birkhoff

List price: $65.00
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Description:

This book presents modern algebra from first principles and is accessible to undergraduates or graduates. It combines standard materials and necessary algebraic manipulations with general concepts that clarify meaning and importance. This conceptual approach to algebra starts with a description of algebraic structures by means of axioms chosen to suit the examples, for instance, axioms for groups, rings, fields, lattices, and vector spaces. This axiomatic approach--emphasized by Hilbert and developed in Germany by Noether, Artin, Van der Waerden, et al., in the 1920s--was popularized for the graduate level in the 1940s and 1950s to some degree by the authors' publication of A Survey of Modern Algebra. The present book presents the developments from that time to the first printing of this book. This third edition includes corrections made by the authors for this printing.
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Book details

List price: $65.00
Edition: 3rd
Publisher: American Mathematical Society
Publication date: 2/11/1999
Binding: Hardcover
Pages: 626
Size: 9.25" wide x 6.50" long x 1.50" tall
Weight: 2.244
Language: English

Sets, functions, and integers Groups Rings Universal constructions Modules
Vector spaces Matrices Special fields Determinants and tensor products Bilinear and quadratic forms
Similar matrices and finite abelian groups Structure of groups Galois theory Lattices
Categories and adjoint functors Multilinear algebra Appendix: Affine and projective spaces
Bibliography
Index