Other available formats:
Looking for an examination copy?
If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact email@example.com providing details of the course you are teaching.
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.Read more
- Focuses on the applications of Lie group theory to physical sciences and applied mathematics, rather than on theorems and proofs
- Each chapter ends with problems, so readers can monitor their understanding of the subject
- Many examples of Lie groups and Lie algebras are given throughout the text
Reviews & endorsements
"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.See more reviews
"Gilmore is successful in creating a direct and applied approach to the study of Lie Groups."
E. Kincanon, Gonzaga University for CHOICE
"...lively and stimulating exposition. 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. All in all, Lie Groups, Physics, and Geometry is a worthy addition to the literature..."
Peter J. Olver, Physics Today
"This is a great how-to book, where one can find detailed examples worked out completely, covering many and interesting aspects and applications of group theory."
Julio Guerrero, Mathematical Reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: February 2008
- format: Hardback
- isbn: 9780521884006
- length: 332 pages
- dimensions: 250 x 184 x 21 mm
- weight: 0.81kg
- contains: 35 b/w illus. 196 exercises
- availability: Available
Table of Contents
2. Lie groups
3. Matrix groups
4. Lie algebras
5. Matrix algebras
6. Operator algebras
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
14. Hydrogenic atoms
15. Maxwell's equations
16. Lie groups and differential equations
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email firstname.lastname@example.orgRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×