Lie Groups, Lie Algebras, and Some of Their Applications (Dover Books on Mathematics) [Paperback]

Robert Gilmore (Author), Mathematics (Author)

Book Description

Publication Date: January 4, 2006 | Series: Dover Books on Mathematics

With rigor and clarity, this upper-level undergraduate text employs numerous exercises, solved problems, and figures to introduce upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in expressing concepts and results from several fields of physics. 1974 edition. Includes 75 figures and 17 tables.

Product Details

• Paperback: 608 pages
• Publisher: Dover Publications (January 4, 2006)
• Language: English
• ISBN-10: 0486445291
• ISBN-13: 978-0486445298
• Product Dimensions: 8.5 x 5.5 x 1.2 inches
• Shipping Weight: 1.3 pounds (View shipping rates and policies)
• Average Customer Review: 4.7 out of 5 stars  See all reviews (9 customer reviews)
• Amazon Best Sellers Rank: #403,059 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

34 of 35 people found the following review helpful:

5.0 out of 5 stars Rave Review, November 9, 2006

By 

Michael Cloud "Mystical Logician" (Washington, DC United States) - See all my reviews
(REAL NAME)   

Amazon Verified Purchase

This review is from: Lie Groups, Lie Algebras, and Some of Their Applications (Dover Books on Mathematics) (Paperback)

I haven't read this whole book cover to cover, because of time constraints. However, I can say that it is extremely clear in it's exposition. The material is very well chosen for use by physicists. I have read pure math books on this topic, and while they can be more sophisticated and thorough, they are rarely as straight forward, nor do they cover the breadth of material in this book.

In sum I would have to agree with what I was told: "this is the book on Lie Algebra for a physicist".

42 of 46 people found the following review helpful:

5.0 out of 5 stars Excellent introduction to the field for physicists, January 22, 2000

By 

A.X. Razza (London, England) - See all my reviews

This review is from: Lie Groups, Lie Algebras, and Some of Their Applications (Hardcover)

Perhaps the best feature of this book is that it aims to convey the theory of Lie algebras and Lie groups to physicists. In doing so, the author is careful to give a very simplistic approach so that one not familiar with the subject can understand it. Not to say that the book is elementary, since it builds rapidly into the far more interesting aspects of Lie Groups. A very good read.

32 of 35 people found the following review helpful:

5.0 out of 5 stars This book becomes my reference on group theory in physics, December 29, 2006

By 

R. Bagula "Roger L. Bagula" (Lakeside, Ca United States) - See all my reviews
(VINE VOICE)    (REAL NAME)   

This review is from: Lie Groups, Lie Algebras, and Some of Their Applications (Dover Books on Mathematics) (Paperback)

I've waited many years to find a book like this.

It may take me many years to master everything in it,

but at least with this book I have a chance to try.

I contrast this text to books and papers by Gell-Mann, Richard Feynman,

and Steven Weinberg and these great men come off second best

when it comes to exposition of the relationships between groups.

I have found what appear to be factor of two difference

between the examples and the tables for A(n)

but those once corrected seem to leave this the complete

reference on group theory for physics that I've been looking for for a long time.

I congratulate Robert Gilmore for his well written book.