Lie Groups, Physics, and Geometry: An Introduction for Physicists, Engineers and Chemists - Hardcover

Gilmore, Robert

Hardcover

ISBN 10: 0521884004 ISBN 13: 9780521884006

Publisher: Cambridge University Press, 2008

Synopsis

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.

About this title

Review

'The numerous and varied exercises are a particular strength of the book and lead the motivated reader to explore the diverse connections of Lie groups with a wide range of modern physics. ... a worthy addition to the literature.' Physics Today

'... provides a very comprehensive introduction to the Lie group theory and its application in physics ... very clear and easy to acquire and assimilate by students and young researchers. The numerous problems with which each chapter ends not only illustrate and help for understanding the presented material but also reveal new features and applications. Some new original ideas and results are also contained in the book ... The book could also be useful for specialists, who want to refresh their knowledge on Lie group applications to physics. Finally it is recommended to everyone who wishes to enter into this interesting and fascinating field.' Geometry and Symmetry in Physics

Book Description

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 at the end of each chapter.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2008
• ISBN 10: 0521884004
• ISBN 13: 9780521884006
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 332