Transformation Groups for Beginners by American Mathematical Society

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Summary

Presents a discussion of algebraic operations on the points in the plane and rigid motions in the Euclidean plane. This work introduces the notions of a transformation group and of an abstract group. It gives an elementary exposition of the basic ideas of Sophus Lie about symmetries of differential equations.

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Transformation Groups for Beginners by American Mathematical Society

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.
SKU Unavailable
ISBN 13 9780821836439
ISBN 10 0821836439
Title Transformation Groups for Beginners
Author American Mathematical Society
Series Student Mathematical Library
Condition Unavailable
Binding Type Paperback
Publisher American Mathematical Society
Year published 2005-02-01
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.