A course in algebra

Author(s)

Bibliographic Information

A course in algebra

E.B. Vinberg ; [translated from the Russian by Alexander Retakh]

(Graduate studies in mathematics, v. 56)

American Mathematical Society, c2003

  • : softcover

Other Title

Курс алгебры

Kurs algebry

Available at  / 47 libraries

Search this Book/Journal

Note

Originally published in Russian: Kurs algebry. Moscow : Factorial Press, 2001

Bibliography: p. 501-502

Includes index

Description and Table of Contents

Volume

ISBN 9780821833186

Description

This is a comprehensive textbook on modern algebra written by an internationally renowned specialist. It covers material traditionally found in advanced undergraduate and basic graduate courses and presents it in a lucid style. The author includes almost no technically difficult proofs, and reflecting his point of view on mathematics, he tries wherever possible to replace calculations and difficult deductions with conceptual proofs and to associate geometric images to algebraic objects.The effort spent on the part of students in absorbing these ideas will pay off when they turn to solving problems outside of this textbook. Another important feature is the presentation of most topics on several levels, allowing students to move smoothly from initial acquaintance with the subject to thorough study and a deeper understanding. Basic topics are included, such as algebraic structures, linear algebra, polynomials, and groups, as well as more advanced topics, such as affine and projective spaces, tensor algebra, Galois theory, Lie groups, and associative algebras and their representations. Some applications of linear algebra and group theory to physics are discussed. The book is written with extreme care and contains over 200 exercises and 70 figures. It is ideal as a textbook and also suitable for independent study for advanced undergraduates and graduate students.

Table of Contents

Algebraic structures Elements of linear algebra Elements of polynomial algebra Elements of group theory Vector spaces Linear operators Affine and projective spaces Tensor algebra Commutative algebra Groups Linear representations and associative algebras Lie groups Answers to selected exercises Bibliography Index.
Volume

: softcover ISBN 9780821834138

Description

This is a comprehensive textbook on modern algebra written by an internationally renowned specialist. It covers material traditionally found in advanced undergraduate and basic graduate courses and presents it in a lucid style. The author includes almost no technically difficult proofs, and reflecting his point of view on mathematics, he tries wherever possible to replace calculations and difficult deductions with conceptual proofs and to associate geometric images to algebraic objects. The effort spent on the part of students in absorbing these ideas will pay off when they turn to solving problems outside of this textbook.Another important feature is the presentation of most topics on several levels, allowing students to move smoothly from initial acquaintance with the subject to thorough study and a deeper understanding. Basic topics are included, such as algebraic structures, linear algebra, polynomials, and groups, as well as more advanced topics, such as affine and projective spaces, tensor algebra, Galois theory, Lie groups, and associative algebras and their representations. Some applications of linear algebra and group theory to physics are discussed. The book is written with extreme care and contains over 200 exercises and 70 figures. It is ideal as a textbook and also suitable for independent study for advanced undergraduates and graduate students.

Table of Contents

  • Algebraic structures
  • Elements of linear algebra
  • Elements of polynomial algebra
  • Elements of group theory
  • Vector spaces
  • Linear operators
  • Affine and projective spaces
  • Tensor algebra
  • Commutative algebra
  • Groups
  • Linear representations and associative algebras
  • Lie groups
  • Answers to selected exercises
  • Bibliography
  • Index
  • Algebraic structures
  • Elements of linear algebra
  • Elements of polynomial algebra
  • Elements of group theory
  • Vector spaces
  • Linear operators
  • Affine and projective spaces
  • Tensor algebra
  • Commutative algebra
  • Groups
  • Linear representations and associative algebras
  • Lie groups
  • Answers to selected exercises
  • Bibliography
  • Index

by "Nielsen BookData"

Related Books: 1-1 of 1

Details

  • NCID
    BA62203940
  • ISBN
    • 0821833189
    • 0821834134
  • LCCN
    2002033011
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Original Language Code
    rus
  • Place of Publication
    Providence, R.I.
  • Pages/Volumes
    x, 511 p.
  • Size
    26 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
Page Top