Lie groups, physics, and geometry : an introduction for physicists, engineers and chemists
 Author/Creator
 Gilmore, Robert, 1941
 Language
 English.
 Imprint
 Cambridge : Cambridge University Press, 2008.
 Physical description
 xi, 319 p. : ill ; 26 cm.
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Available online

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QA387 .G57 2008

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QA387 .G57 2008
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Contents/Summary
 Bibliography
 Includes bibliographical references (p. 309312) and index.
 Contents

 Lie groups
 Matrix groups
 Lie algebras
 Matrix algebras
 Operator algebras
 EXPonentiation
 Structure theory for Lie algebras
 Structure theory for simple Lie algebras
 Root spaces and Dynkin diagrams
 Real forms
 Riemannian symmetric spaces
 Contraction
 Hydrogenic atoms
 Maxwell's equations
 Lie groups and differential equations.
 Summary
 "Describing many of the most important aspects of Lie group theory, this book presents the subject in a handson way. Rather than concentrating on theorems and proofs, the book shows the relationship of Lie groups to many branches of mathematics and physics and illustrates these with concrete computations. Many examples of Lie groups and Lie algebras are given throughout the text, with applications of the material to physical sciences and applied mathematics.
 The relation between Lie group theory and algorithms for solving ordinary differential equations is presented and shown to be analogous to the relation between Galois groups and algorithms for solving polynomial equations, other chapters are devoted to differential geometry, relativity, electrodynamics, and the hydrogen atom." "Problems are given at the end of each chapter so readers can monitor their understanding of the materials. This is a fascinating introduction to Lie groups for graduate and undergraduate students in physics, mathematics, and electrical engineering, as well as researchers in these fields."BOOK JACKET.
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Contributor biographical information
Publisher description
Table of contents only
Subjects
Bibliographic information
 Publication date
 2008
 Responsibility
 Robert Gilmore.
 ISBN
 9780521884006
 0521884004