Naive lie theory
 Author/Creator
 Stillwell, John.
 Language
 English.
 Imprint
 New York ; London : Springer, c2008.
 Physical description
 xiii, 217 p. : ill. ; 24 cm.
 Series
 Undergraduate texts in mathematics.
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Contents/Summary
 Bibliography
 Includes bibliographical references (p. 204206) and index.
 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.
 (source: Nielsen Book Data)
 Publisher's Summary
 In this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates. In order to achieve this, he focuses on the socalled "classical groups" that capture the symmetries of real, complex, and quaternion spaces. These symmetry groups may be represented by matrices, which allows them to be studied by elementary methods from calculus and linear algebra. This naive approach to Lie theory is originally due to von Neumann, and it is now possible to streamline it by using standard results of undergraduate mathematics. To compensate for the limitations of the naive approach, end of chapter discussions introduce important results beyond those proved in the book, as part of an informal sketch of Lie theory and its history. John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer, including The Four Pillars of Geometry (2005), Elements of Number Theory (2003), Mathematics and Its History (Second Edition, 2002), Numbers and Geometry (1998) and Elements of Algebra (1994).
(source: Nielsen Book Data)  Supplemental links

Cover
Table of contents
Subjects
Bibliographic information
 Publication date
 2008
 Responsibility
 John Stillwell.
 Series
 Undergraduate texts in mathematics
 ISBN
 9780387782140
 0387782141