Undergraduate Texts in Mathematics

Groups and Symmetry

Authors: Armstrong, Mark A.

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eBook $49.99
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  • ISBN 978-1-4757-4034-9
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Hardcover $64.95
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  • ISBN 978-0-387-96675-5
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Softcover $64.95
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  • ISBN 978-1-4419-3085-9
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About this Textbook

Groups are important because they measure symmetry. This text, designed for undergraduate mathematics students, provides a gentle introduction to the highlights of elementary group theory. Written in an informal style, the material is divided into short sections each of which deals with an important result or a new idea. Throughout the book, the emphasis is placed on concrete examples, many of them geometrical in nature, so that finite rotation groups and the seventeen wallpaper groups are treated in detail alongside theoretical results such as Lagrange's theorem, the Sylow theorems, and the classification theorem for finitely generated abelian groups. A novel feature at this level is a proof of the Nielsen-Schreier theorem, using group actions on trees. There are more than three hundred exercises and approximately sixty illustrations to help develop the student's intuition.

Reviews

M.A. Armstrong

Groups and Symmetry

"This book is a gentle introductory text on group theory and its application to the measurement of symmetry. It covers most of the material that one might expect to see in an undergraduate course . . . The theory is amplified, exemplified and properly related to what this part of algebra is really for by discussion of a wide variety of geometrical phenomena in which groups measure symmetry. Overall, the author’s plan, to base his treatment on the premise that groups and symmetry go together, is a very good one, and the book deserves to succeed."—MATHEMATICAL REVIEWS


Table of contents (28 chapters)

Buy this book

eBook $49.99
price for USA (gross)
  • ISBN 978-1-4757-4034-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $64.95
price for USA
  • ISBN 978-0-387-96675-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $64.95
price for USA
  • ISBN 978-1-4419-3085-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Groups and Symmetry
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
1988
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-1-4757-4034-9
DOI
10.1007/978-1-4757-4034-9
Hardcover ISBN
978-0-387-96675-5
Softcover ISBN
978-1-4419-3085-9
Series ISSN
0172-6056
Edition Number
1
Number of Pages
XI, 187
Topics