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Undergraduate algebra / Serge Lang

Main Author Lang, Serge, 1927-2005 Country Estados Unidos. Edition 3rd ed Publication New York : Springer, cop. 2005 Description XI, 385 p. ; 25 cm Series Undergraduate texts in mathematics ISBN 0-387-22025-9 CDU 512
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Item type Current location Call number Status Date due Barcode Item holds
Monografia Biblioteca Geral da Universidade do Minho
BGUMD 107628 Available 365324
Total holds: 0

Enhanced descriptions from Syndetics:

The companion title, Linear Algebra, has sold over 8,000 copies

The writing style is very accessible

The material can be covered easily in a one-year or one-term course

Includes Noah Snyder's proof of the Mason-Stothers polynomial abc theorem

New material included on product structure for matrices including descriptions of the conjugation representation of the diagonal group

Table of contents provided by Syndetics

  • Foreword
  • The Integers
  • Groups
  • Rings
  • Polynomials
  • Vector Spaces and Modules
  • Some Linear Groups
  • Field Theory
  • Finite Fields
  • The Real and Complex Numbers
  • Sets
  • Appendix
  • Index

Reviews provided by Syndetics


Lang is a distinguished mathematician and a prolific writer, and this is his fifth work in the well-regarded Springer series of undergraduate texts in mathematics. Paired with Lang's Introduction to Linear Algebra (1986), this book is an attractive choice for use in an introductory abstract algebra course for bright and well-prepared undergraduates. The topics covered include an emphasis on field theory, Galois theory, and special features of finite fields that provide needed background for coding theory. Lang writes with grace and with considerable reliance on the reader or instructor to fill in gaps, to see connections, and to contribute substantially to the learning process. He consistently allows the relatively mature reader to see the new mathematics in overview and to see examples, details, and proofs as supporting rather than overwhelming the main lines of the material. Although this is primarily a textbook, many undergraduate libraries will wish to have it (along with Lang's other works in the Springer series) for use as complementary sources for undergraduate mathematics courses.-J. Cunningham, Susquehanna University

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