Naive Lie Theory
Author:   John Stillwell
Publisher:   Springer-Verlag New York Inc.
Edition:   1st ed. Softcover of orig. ed. 2008
ISBN:  

9781441926814


Pages:   217
Publication Date:   01 December 2010
Format:   Paperback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Naive Lie Theory


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Full Product Details

Author:   John Stillwell
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   1st ed. Softcover of orig. ed. 2008
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9781441926814


ISBN 10:   144192681
Pages:   217
Publication Date:   01 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Geometry of complex numbers and quaternions.- Groups.- Generalized rotation groups.- The exponential map.- The tangent space.- Structure of Lie algebras.- The matrix logarithm.- Topology.- Simply connected Lie groups.

Reviews

From the reviews: This is a beautifully clear exposition of the main points of Lie theory, aimed at undergraduates who have ! calculus and linear algebra. ! The book is well equipped with examples ! . The book has a very strong geometric flavor, both in the use of rotation groups and in the connection between Lie algebras and Lie groups. (Allen Stenger, The Mathematical Association of America, October, 2008) Lie theory, basically the study of continuous symmetry, certainly occupies a central position in modern mathematics ! . In Naive Lie Theory, Stillwell (Univ. of San Franciso) concentrates on the simplest examples and stops short of representation theory ! . Summing Up: Recommended. Upper-division undergraduates and graduate students. (D. V. Feldman, Choice, Vol. 46 (9), May, 2009) This book provides an introduction to Lie groups and Lie algebras suitable for undergraduates having no more background than calculus and linear algebra. ! Each chapter concludes with a lively and informative account of the history behind the mathematics in it. The author writes in a clear and engaging style ! . The book is a welcome addition to the literature in representation theory. (William M. McGovern, Mathematical Reviews, Issue 2009 g)


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