Lie Groups, Physics, and Geometry by Robert Gilmore - ISBN: 9780521884006
Hardcover
Concentrating on the applications of Lie group theory to physical sciences and applied mathematics, 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. Problems are given …

Lie Groups, Physics, and Geometry

An Introduction for Physicists, Engineers and Chemists

$222.77

  • Hardcover

    332 pages

  • Release Date

    17 January 2008

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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 betwee…

Book Details

ISBN-13:9780521884006
ISBN-10:0521884004
Author:Robert Gilmore
Publisher:Cambridge University Press
Imprint:Cambridge University Press
Format:Hardcover
Number of Pages:332
Edition:1st
Release Date:17 January 2008
Weight:810g
Dimensions:250mm x 184mm x 21mm
What They're Saying

Critics Review

“Gilmore (physics, Drexel U.) takes an applications-base approach to Lie group theory as it relates to certain branches of applied mathematics and the physical sciences, basically distilling what he considers the most useful material of his much longer book (New York: Wiley, 1974). He begins with a discussion of Lie group theory’s intellectual underpinnings in Galois theory and concludes with a chapter on the application of Lie group theory to solving differential equations, both subjects that are relatively rare in texts on Lie group theory. In between he offers chapters on matrix groups, Lie algebras, matrix algebras, operator algebras, EXPonentiation, structure theory for Lie algebras, root spaces and Dynkin diagrams, real forms, Riemannian symmetric spaces, contraction, hydrogenic atoms, and Maxwell’s equations.” Book News Inc.

About The Author

Robert Gilmore

Robert Gilmore is a Professor in the Department of Physics at Drexel University, Philadelphia. He is a Fellow of the American Physical Society, and a Member of the Standing Committee for the International Colloquium on Group Theoretical Methods in Physics. His research areas include group theory, catastrophe theory, atomic and nuclear physics, singularity theory, and chaos.

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