Non-Fiction Books:

The Theory of Transformation Groups

Format

Hardback

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The Theory of Transformation Groups by Katsuo Kawakubo
$234.99
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Description

The aim of this book is to present an introduction to the theory of transformation groups which will be suitable for all those coming to the subject for the first time. The emphasis is on the study of topological groups and, in particular, the study of compact Lie groups acting on manifolds. Throughout, much care is taken to illustrate concepts and results with examples and applications. Numerous exercises are also included to further extend a reader's understanding and knowledge. Prerequisites are a familiarity with algebra and topology as might have been acquired from an undergraduate degree in Mathematics. The author begins by introducing the basic concepts of the subject such as fixed point sets, orbits, and induced transformation groups. Attention then turns to the study of differentiable manifolds and Lie groups with particular emphasis on fibre bundles and characteristic classes. The latter half of the book is devoted to surveying the main themes of the subject: structure and decomposition theorems, the existence and uniqueness theorems of principal orbits, transfer theorems, and the Lefschetz fixed point theorem.
Release date NZ
November 28th, 1991
Country of Publication
United Kingdom
Illustrations
line drawings
Imprint
Oxford University Press
Pages
348
Dimensions
161x241x24
ISBN-13
9780198532125
Product ID
2245881

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