CLASSICAL ALGEBRA
by
W.J. Gilbert and S. A. Vanstone

Fourth Edition, 2000

William J. Gilbert and Scott A. Vanstone, Classical Algebra (Fourth Edition), Centre for Education in Mathematics and Computing, Waterloo, Ontario, 2000, vii+265pp. [ISBN 0921418949]

[Back Cover] [Front Cover]

Contents

This book is designed for a first algebra course for university students who wish to major in mathematics.
It contains over 800 exercises and problems.

Chapters

  1. Logic and Proofs
  2. Integers and Diophantine Equations
  3. Congruences
  4. Induction and the Binomial Theorem
  5. Rational and Real Numbers
  6. Functions and Bijections
  7. An Introduction to Cryptography
  8. Complex Numbers
  9. Polynomial Equations
    Appendix - Trigonometry, Inequalities

Corrections to the fourth edition

Earlier Versions

  1. W.J. Gilbert, Classical Algebra (Notes for Math 134a). Faculty of Mathematics, 1975.
  2. W.J. Gilbert and S. A. Vanstone, Classical Algebra (Second Edition) Faculty of Mathematics, 1988.
  3. W.J. Gilbert and S. A. Vanstone, Classical Algebra (Third Edition) Waterloo Mathematics Foundation, 1993.
    Supplement to the Third Edition on Logic Proofs, and Recursion, 1998.

Later Versions

  1. William J. Gilbert and Scott A. Vanstone, An Introduction to Mathematical Thinking: Algebra and Number Systems, Prentice Hall, 2005.

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