Groups and Symmetry

Portada
Springer Science & Business Media, 14 mar. 2013 - 187 páginas
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.
 

Comentarios de usuarios - Escribir una reseña

No hemos encontrado ninguna reseña en los sitios habituales.

Índice

Preface
1
CHAPTER
15
CHAPTER 7
32
CHAPTER 9
48
Cauchys Theorem
68
CHAPTER 16
86
CHAPTER 19
104
CHAPTER 21
119
CHAPTER 24
136
CHAPTER 25
145
CHAPTER 27
166
Bibliography
181
Página de créditos

Otras ediciones - Ver todo

Términos y frases comunes

Información bibliográfica