Read Anywhere and on Any Device!

Subscribe to Read | $0.00

Join today and start reading your favorite books for Free!

Read Anywhere and on Any Device!

  • Download on iOS
  • Download on Android
  • Download on iOS

Groups and Symmetry

Groups and Symmetry

M.A. Armstrong
3.8/5 ( ratings)
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.
Language
English
Pages
187
Format
Hardcover
Publisher
Springer
Release
February 27, 1997
ISBN
0387966757
ISBN 13
9780387966755

Groups and Symmetry

M.A. Armstrong
3.8/5 ( ratings)
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.
Language
English
Pages
187
Format
Hardcover
Publisher
Springer
Release
February 27, 1997
ISBN
0387966757
ISBN 13
9780387966755

Rate this book!

Write a review?

loader