Advanced Modern Algebra:, Part I Third Edition

Advanced Modern Algebra:, Part I Third Edition book cover

Advanced Modern Algebra:, Part I Third Edition

Author(s): Joseph J. Rotman (Author)

  • Publisher: American Mathematical Society
  • Publication Date: 30 Nov. 2015
  • Edition: Third
  • Language: English
  • Print length: 709 pages
  • ISBN-10: 1470415542
  • ISBN-13: 9781470415549

Book Description

This new edition, now in two parts, has been significantly reorganized and many sections have been rewritten. This first part, designed for a first year of graduate algebra, consists of two courses: Galois theory and Module theory. Topics covered in the first course are classical formulas for solutions of cubic and quartic equations, classical number theory, commutative algebra, groups, and Galois theory. Topics in the second course are Zorn's lemma, canonical forms, inner product spaces, categories and limits, tensor products, projective, injective, and flat modules, multilinear algebra, affine varieties, and Grobner bases.

Editorial Reviews

About the Author

Joseph J. Rotman, University of Illinois at Urbana-Champaign, IL, USA.

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