| Groups and Symmetry Contributor(s): Armstrong, Mark A. (Author) |
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ISBN: 144193085X ISBN-13: 9781441930859 Publisher: Springer OUR PRICE: $61.70 Product Type: Paperback - Other Formats Published: December 2010 |
| Additional Information |
| BISAC Categories: - Mathematics | Group Theory - Mathematics | Differential Equations - General - Mathematics | Algebra - Abstract |
| Dewey: 512.2 |
| Series: Undergraduate Texts in Mathematics |
| Physical Information: 0.43" H x 6.14" W x 9.21" (0.64 lbs) 187 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |