Algebra
Author(s)
Bibliographic Information
Algebra
AMS Chelsea Pub. : American Mathematical Society, c1999
3rd ed
Available at 2 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
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  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
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  United States of America
Note
Includes bibliographical references (p. [601]-603) and index
Description and Table of Contents
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.
Table of Contents
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.
by "Nielsen BookData"