Lie groups, physics, and geometry : an introduction for physicists, engineers and chemists
 Responsibility
 Robert Gilmore.
 Language
 English.
 Imprint
 Cambridge : Cambridge University Press, 2008.
 Physical description
 xi, 319 p. : ill ; 26 cm.
Access
Available online
Math & Statistics Library
Stacks
Call number  Status 

QA387 .G57 2008  Unknown 
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Creators/Contributors
 Author/Creator
 Gilmore, Robert, 1941
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 309312) and index.
 Contents

 1. Introduction 2. Lie groups 3. Matrix groups 4. Lie algebras 5. Matrix algebras 6. Operator algebras 7. Exponentiation 8. Structure theory for Lie algebras 9. Structure theory for simple Lie algebras 10. Root spaces and Dykin diagrams 11. Real forms 12. Riemannian symmetric spaces 13. Contraction 14. Hydrogenic atoms 15. Maxwell's equations 16. Lie groups and differential equations References Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text. 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.
(source: Nielsen Book Data)  Supplemental links

Contributor biographical information
Publisher description
Table of contents only
Subjects
Bibliographic information
 Publication date
 2008
 ISBN
 9780521884006 (hbk.)
 0521884004 (hbk.)