Mathematics of Classical and Quantum Physics/Two Volumes in One (Anglais) Broché – décembre 1992
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I also wanted to know more on Green functions because of their application in finance. This book does provide a good overview of it.
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Now that i've had some more physics, i've been going through some of the other chapters. The treatment of each subject is framed in a way that makes immediate application to physics natural and intuitive. However, while the level of rigor falls somewhat short of many pure math analysis textbooks (ex: lebesque integration is discussed qualitatively, whereas ideally one would have studied measure theory and lebesque integration before hilbert spaces and other topics), the author does a good job of giving appropriate mathematical caveats this book (in my opinion) strikes an excellent balance of practicality without sacrificing rigor. I think this makes the book useful for physicists who would like a rigorous intro to the math without getting bogged down in (relatively) unappliable mathematical constructs.
Overall, this book is a must. I'd recommend the book early (as soon as one's taken multivariable calculus). There won't be any math in any physics course that you won't feel comfortable with after you've read through this book.
If, though, you have this background, then this book is may just be for you. It is concise, to the point and presents a clear and well written discussion of mathematical physics.
I just felt that before you dive, head first, into the world of mathematical physics, somebody needed to warn you about what you were getting yourself into.
This book would be worth it if the price were 10 times more than it is.
As other reviewers have said, this book is for advanced students. People with a strong mathematical background should gain a lot from this book. Undergraduates would probably find most of this book too hard. However, because this book is so good, undergraduates with an interest in mathematical physics could also gain a lot from this book.
Coming from Dover this book is not only very good, it is very cheap, which makes it extremely good value. I highly recommend it.