Lie Groups, Physics, and Geometry: An Introduction for Physicists, Engineers and Chemists | 
| Author: Robert Gilmore
Publisher: Cambridge University Press
Category: Book
List Price: $80.00
Buy New: $64.00
You Save: $16.00 (20%)
New (9) Used (3) from $61.99
Avg. Customer Rating:  1 reviews
Sales Rank: 51096
Media: Hardcover
Edition: 1
Number Of Items: 1
Pages: 332
Shipping Weight (lbs): 1.8
Dimensions (in): 9.8 x 6.9 x 0.9
ISBN: 0521884004
Dewey Decimal Number: 512.482
EAN: 9780521884006
ASIN: 0521884004
Publication Date: February 18, 2008
Availability: Usually ships in 24 hours
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Product Description
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.
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.
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| Customer Reviews:
Best introductory text on Lie Groups so far. April 30, 2008
10 out of 11 found this review helpful
I am so happy with this book that I could not wait to finish one chapter and then post a review. This is my initial review but maybe I will extend it.
I am a theoretical physics student and so far I have read one section on lie algebra and the approach is very clear and not at all In mathematical language and notations ( that you are required to master first to understand the underlying mathematics generally).
Robert Gilmore done a very good job on this introductory book which fits with the title. He explains the ideas in very clear and concise way for non mathematical students. First he explained lie groups briefly and then came to lie algebra and explain why this is done. All most all authors forget to mention why they introduced lie algebra. I have many other books on group theory and lie groups e.g. Sternberg, Fuchs & Schweigert , Wu-Ki Tung, Georgi etc and the main point to be noted is that many authors do a good job explaining " how" but they forget to mention "why". This is where Robert Gilmore comes in. It is a pity that he did not write a book on Group theory as a whole including other topics in group theory as well.
My advice is if you need an introduction to lie groups and lie algebra and tired of authors who only try to impress other authors instead of the student then invest on this book.You won't be disappointed and maybe this one goes into your collection.
PS: for student of particle physics, try also Lie algebras from Howard Georgi.
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