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

Old Third Edition, 1993

William J. Gilbert and Scott A. Vanstone, Classical Algebra (Third Edition), Waterloo Mathematics Foundation, Waterloo, 1993, vii+248pp. [ISBN 0921418922]

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

Supplement to the Third Edition

  1. Chapter 0: Logic and Proofs
  2. Section 3.2: : Recusion

Review of the Book

Amer. Math. Monthly 101 (Aug-Sept 1994), p.696.

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.

Later Versions

  1. William J. Gilbert and Scott A. Vanstone, An Introduction to Mathematical Thinking: Algebra and Number Systems, Prentice Hall, 2005.
  2. William J. Gilbert and Scott A. Vanstone, Classical Algebra (Fourth Edition), Centre for Education in Mathematics and Computing, Waterloo, Ontario, 2000.

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