an introduction for physicists, engineers and chemists /
First Statement of Responsibility
Robert Gilmore.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York :
Name of Publisher, Distributor, etc.
Cambridge University Press,
Date of Publication, Distribution, etc.
2008.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (xi, 319 pages) :
Other Physical Details
illustrations
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 309-312) and index.
CONTENTS NOTE
Text of Note
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.
0
SUMMARY OR ABSTRACT
Text of Note
"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 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.
Text of Note
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."--Jacket.