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Lie Groups, Lie Algebras, and Some of Their Applications

Lie Groups, Lie Algebras, and Some of Their Applications

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Author: Robert Gilmore
Publisher: Dover Publications
Category: Book

List Price: $29.95
Buy New: $19.76
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Rating: 4.5 out of 5 stars 7 reviews
Sales Rank: 67466

Media: Paperback
Pages: 608
Number Of Items: 1
Shipping Weight (lbs): 1.4
Dimensions (in): 8.5 x 5.5 x 1.4

ISBN: 0486445291
Dewey Decimal Number: 512.482
EAN: 9780486445298

Publication Date: January 4, 2006
Availability: Usually ships in 1-2 business days
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5 out of 5 stars Lie groups, examples and exercises   July 28, 2007
A. Van Dyk (Philadelphia)
8 out of 9 found this review helpful

An excellent overview of Lie Groups and Algebras. Gilmore, as he notes himself, has concentrated on producing a self contained course for physicists. The mathematical treatment is generally detailed and shows most steps. He notes the omission of various topics in physics and mathematics, but refers the reader to specialized texts in his comprehensive bibliography. My course of Lie Groups at university was focused on mathematical applications and differential equations and this text by Gilmore provides a satisfying broader appreciation of Lie Groups and Algebras in their own right and their applications to fields and problems I wasn't previously aware of. I'm especially pleased with the many exercises which I find a great help in developing greater understanding and testing my grasp of the text.


2 out of 5 stars Not fair on non-physicist mathematicians   April 25, 2008
Matt Westwood (Reading, UK)
1 out of 3 found this review helpful

Couldn't get into this, I gave up in the first chapter after failing to understand how he was applying his Kronecker product to his vectors. He just failed to explain his notation adequately. *And* there were mistakes in that first bit I read up to then.

I appreciate that physicists and mathematicians use different language, and I also appreciate that this was an advanced work, i.e. postgrad plus, but it would have been nice to have seen a glossary of terms and a little more background.

This may be a competent and erudite work, but unfortunately impenetrable without unspecified previous knowledge, and that's not the way these books ought to be.


 

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