|
Title: Lie Groups, Lie Algebras, and Some of Their Applications
Purchase
Item
Manufacturer: Dover Publications
List Price: $29.95
Our Price: $15.00
|
|
| Customer Reviews: |
| Lie Groups, Lie Algebras, and Some of Their Applications by Dover Publications Lie groups, examples and exercises |
| 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. |
| Lie Groups, Lie Algebras, and Some of Their Applications by Dover Publications This book becomes my reference on group theory in physics |
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. |
| Lie Groups, Lie Algebras, and Some of Their Applications by Dover Publications Rave Review |
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". |
| Lie Groups, Lie Algebras, and Some of Their Applications by Dover Publications A classic |
| Gilmore's treatment of Lie groups and Lie algebras is written in the mathematical languague which theoretical physicists should be comfortable with. The notation is very clear, the discussion is nearly flawless and the physical relevance is not omitted, which is for example done in more mathematically oriented books. Very thorough, very readable and cheap! |
| Lie Groups, Lie Algebras, and Some of Their Applications by Dover Publications An excellent treatment of the subject written in "mathematics." |
I find Professor Gilmore's book a top-flight exposition of a "not so easy" subject. As a mathematician, I am very comfortable with the degree of mathematical rigor. It is not sloppy. I hope physicists won't be put off by the fact that this book is written in "mathematics." We are in a time when the distinction between pure mathematics and theoretical physics is rapidly blurring, if not already extinct. The physicist must become accustomed to the protocal of pure mathematics, as the mathematician must understand the needs of theoretical physics and be motivated by them. Many will disagree.
As a Ph.D candidate in mathematics a "few" years ago, on creating a proof (hopefully elegant), I used to joke with my major professor about what a disaster it would be if the physicists at our university found some way to put our reselt to practical use.
Imagine the horror of our lemma on ideal theory in a C* Algebra
being so desecrated. Oh, the shame! Now I say "a pox on such elitism and snobbery."
The work under discussion is very well motivated (the preface is an excellent historical summary of how this mathematics became so necessary for progress in physics, and how theoretical physics has motivated mathematical research. The copious "no frills" illustrations are particularly valuable to the reader, particularly if she is not accustomed to just accepting chains of head-to-tail syllogisms as sufficient.
Two thumbs up!
|
| Lie Groups, Lie Algebras, and Some of Their Applications by Dover Publications Product Description |
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 edtion. Includes 75 figures and 17 tables.
|
