Classical Groups for Physicists by Brian G. Wybourne (PDF)

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User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐There are several decent books on physics-oriented finite groups, and excellent discussions of angular momentum, the paradigmatic Lie group for physicists. Unfortunately, there are very few on further applications to higher Lie groups. Gilmore’s or Georgi’s bumptious texts are tumidly discursive and narrowly formulaic, respectively; they contain a minimum of answers, but evince no delight or respect in the glorious workings of the subject, which could permit nontrivial extensions.So, that leaves the field open to just this solid book, indisputable one-eyed king in the realm of the blind.As already noted, the book is not introductory (learn your angular momentum and your pidgin SU(3) elsewhere if you need introductory and motivational background). And, again, it has lots of typos. But, hey!, It’s got the essential stuff, the tools of the trade, and at a proper level, at that. It has useful formulas with concise explanations geared to the intelligent, well meaning, but not too knowledgeable reader; and, so, it beats any parlous foray into the fulsome swamps of Wikipedia.In short, the book is rich, and gets things done. The astute reader comes back, again and again, for more, if she/he cares about Lie groups beyond the “monkey-see-monkey-do” level, that is. Over decades, many less-than-evident points in Lie group theory have found their quick, sound, thoughtful resolution in this book, for me. Well worth owning. Dover, oh Dover, where are you when they need you?

⭐I used this book when I taught classical mechanics in the seventies. I found it to be very readable and with a far better coverage of Lie algebras and groups than Hamermesh (who defines scalars and invariants in the right way). The book contains typo errors, too bad that a second edition never came out. I’d like to get a copy, but not at any price! Dover, where are you when we need you?

⭐This book contains the theory of continuous groups (Lie Groups) highlighting the important points that are useful in Theorethical Physics in the manner it is used in the physicists’ community. Although it intends to be an introductory text, if you have never studied group theory before you will find this book not very easy.The author do not provide detailed proofs for everything, what is justified being a book for physicists, not mathematicians, but some proofs assume some background knowledge that a novice may not have and sometimes you have a lot of sequential definitions without examples, what difficults a little the understanding.The first chapter may shock, because it assumes you have some knowledge of group theory in Physics, but you don’t need to understand it entirely to read the rest of the book, where the author will develope better the matter initiated there.The last chapters contain case studies with applications of the material developed through the text.It is a good book for a theoretical physicist to have and learn group theory, although I should recommend to read it with some other elementary texts around.

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