Armstrong, M.A.
Groups and Symmetry (Undergraduate Texts in Mathematics)
- ISBN 13:
- 9780387966755
- author:
- Armstrong, M.A.
- format:
- HardBack
- publisher:
- Springer
- language:
- English
- Publication Year:
- 1997
- Pages:
- 200
- Genre:
- Groups & group theory
- Condition:
- New
- Availability:
- Item usually sent within 4 working days
Description
Understanding Symmetry through Groups This textbook provides an introduction to group theory, focusing on its connection to symmetry. Written in an approachable style, it explores key concepts and results using concrete examples, including geometric transformations and theoretical frameworks. The book covers important topics such as Lagrange's theorem, the Sylow theorems, and the classification theorem for finitely generated abelian groups, alongside detailed discussions of finite rotation groups and the 17 wallpaper groups. A unique feature is a proof of the Nielsen-Schreier theorem using group actions on trees. With over 300 exercises and approximately 60 illustrations, this book aims to help students develop their understanding of group theory and its applications.
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