Armstrong, Mark A.
Groups and Symmetry (Undergraduate Texts in Mathematics)
- ISBN 13:
- 9781441930859
- author:
- Armstrong, Mark A.
- format:
- Paperback / softback
- publisher:
- Springer-Verlag New York Inc.
- language:
- English
- Publication Year:
- 2010
- Pages:
- 187
- Dimensions:
- 23.39 x 15.6 x 1.09 centimeters
- Genre:
- Science, Mathematics, Algebra,
- Condition:
- New
- Availability:
- Item usually sent within 5 working days
Description
Understanding and working with groups is essential to understanding symmetry. This textbook provides a gentle introduction to group theory, designed for undergraduate mathematics students. It covers key concepts and results in an informal style, using concrete examples such as finite rotation groups and the 17 wallpaper groups. The book places emphasis on developing intuition through over 300 exercises and approximately 60 illustrations. A novel approach is taken with a proof of the Nielsen-Schreier theorem, using group actions on trees. This makes it easier for students to understand complex theoretical results like Lagrange's theorem and the Sylow theorems. By exploring these topics in detail, readers can gain a deeper understanding of group theory and its applications.
Related Products
Related Products
Basic Topology (Undergraduate Texts in Mathematics) (Undergraduate Texts in Mathematics)
Armstrong, M.A.
An Invitation to Abstract Mathematics (Undergraduate Texts in Mathematics)
Bajnok, Bela
Understanding Analysis (Undergraduate Texts in Mathematics)
Stephen Abbott
Understanding Analysis - Undergraduate Texts in Mathematics (Paperback)
Abbott, Stephen
Philosophical and Mathematical Logic (Springer Undergraduate Texts in Philosophy)
Swart, Harrie de