Groups and symmetry
Book information
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.
Similar books
基础拓扑学
1991 · PDF
Groups and Symmetry
1988 · DJVU
Groups and symmetry
1988 · PDF
Cosmical Electrodynamics, 2nd Ed. (International Series of Monographs on Physics)
1963 · DJVU
Theory of Knowledge: An Introduction
1976 · DJVU
Introduction to Stochastic Processes with Special Reference to Methods and Applications
DJVU
Dynamical Theory of Crystal Lattices (The International series of monographs on physics)
1998 · DJVU
Communism and China: Ideology in Flux
1970 · DJVU