Groups and Symmetry (Paperback, Softcover reprint of hardcover 1st ed. 1988)

Groups are important because they measure symmetry. This text, designed for undergraduate mathematics students, provides a gentle introduction to the vocabulary and many of 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, emphasis is placed on concrete examples, often geometrical in nature, so that finite rotation groups and the 17 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 groups actions on trees. There are more than 300 exercises and approximately 60 illustrations to help develop the student's intuition.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Undergraduate Texts in Mathematics
Release date:	December 2010
First published:	1988
Authors:	Mark A. Armstrong
Dimensions:	235 x 155 x 11mm (L x W x T)
Format:	Paperback
Pages:	187
Edition:	Softcover reprint of hardcover 1st ed. 1988
ISBN-13:	978-1-4419-3085-9
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Promotions
LSN:	1-4419-3085-X
Barcode:	9781441930859

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