ENGLISH

Transformation groups for beginners

By S. V. Duzhin , B. D. Chebotarevskii

Book information

Publisher
American Mathematical Society
Year
2004
ISBN
9780821836439, 0821836439
LCC
QA385 .D8913 2004
Open Library ID
OL3305796M
Language
english
Format
GZ
Filesize
995 kB (1018875 bytes)
Series
Student mathematical library 25
Pages
192\192
Topic
Education
Library
kolxoz
Time added
2009-07-20 03:45:11

Description

The notion of symmetry is important in many disciplines, including physics, art, and music. The modern mathematical way of treating symmetry is through transformation groups. This book offers an easy introduction to these ideas for the relative novice, such as undergraduates in mathematics or even advanced undergraduates in physics and chemistry. The first two chapters provide a warm-up to the material with, for example, a discussion of algebraic operations on the points in the plane and rigid motions in the Euclidean plane. The notions of a transformation group and of an abstract group are then introduced. Group actions, orbits, and invariants are covered in the next chapter. The final chapter gives an elementary exposition of the basic ideas of Sophus Lie about symmetries of differential equations. Throughout the text, examples are drawn from many different areas of mathematics. Plenty of figures are included, and many exercises with hints and solutions will help readers master the material.

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