Groups - Modular Mathematics Series book cover

Groups - Modular Mathematics Series

This text provides an introduction to group theory with an emphasis on clear examples. The authors present groups as naturally occurring structures arising from symmetry in geometrical figures and other mathematical objects. Written in a 'user-friendly' style, where new ideas are always motivated before being fully introduced, the text will help readers to gain confidence and skill in handling group theory notation before progressing on to applying it in complex situations. An ideal companion to any first or second year course on the topic.

Audience
First and second year mathematics undergraduates. Also invaluable to undergraduate physicists and engineers.

Paperback, 224 Pages

Published: July 1994

Imprint: Butterworth Heinemann

ISBN: 978-0-340-61045-9

Contents

  • 1.Squares and circles * 2.Functions and permutations * 3.Linear transformations and matrices * 4.The group axiom * 5.Subgroups 1 * 6.Group actions * 7.Relations and modular arithmetic * 8.Homomorphisms and isomorphisms * 9.Subgroups 2 * 10.Co-sets and Lagrange's theorem * 11.Orbit-stabilizer theorem and applications * 12.Finding subgroups * 13.Groups of small order * 14.Conjugacy * 15.Faithful actions * 16.Factor groups * 17.Conclusions * Suggestions for further projects * Further reading.

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