Lie Groups, Physics, and Geometry
An Introduction for Physicists, Engineers and Chemists
By (author) Robert Gilmore
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Lie Groups, Physics, and Geometry by Robert Gilmore
Book DescriptionDescribing 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.
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Book DetailsISBN: 9780521884006
(247mm x 174mm x 19mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 17-Jan-2008
Country of Publication: United Kingdom
Books By Author Robert Gilmore
Topology of Chaos, Hardback (November 2011)
Innovative methods for the analysis of chaotic systems, in this second edition completed by a broad introduction for the non expert, additional chapters on embeddings, bounding tori, and the representation theory for strange attractors, and frequently asked questions.
Symmetry of Chaos, Hardback (January 2007)View all books by Robert Gilmore
Why have scientists, engineers, and mathematicians become intrigued by chaos? Chaos is about predictability in even the most unstable systems, and symmetry is a pattern of predictability - a conceptual tool to help understand complex behaviour. This book aims to treat this interplay between chaos and symmetry.
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Author Biography - 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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