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Groups - Modular Mathematics Series - 1st Edition - ISBN: 9780340610459, 9780080571652

Groups - Modular Mathematics Series

1st Edition

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Authors: Camilla Jordan David Jordan
Paperback ISBN: 9780340610459
eBook ISBN: 9780080571652
Imprint: Butterworth-Heinemann
Published Date: 1st July 1994
Page Count: 224
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Table of 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.


Description

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.

Readership

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


Details

No. of pages:
224
Language:
English
Copyright:
© Butterworth-Heinemann 1994
Published:
1st July 1994
Imprint:
Butterworth-Heinemann
Paperback ISBN:
9780340610459
eBook ISBN:
9780080571652

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About the Authors

Camilla Jordan

David Jordan