Difficult material but well taught
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I'm not a Physics student or even mathematician, but I was curious to pick up enough Mathematics to get a reasonable grasp on the more advanced elements of Quantum Theory. Its done it but it has been pretty heavy going at times! I'd like to be as casual as the other reviewers here about liking this book but I'm without tutors or professors who may be able to point me in the right direction, but how else can you learn this material!?!
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An introduction to the basic mathematics of physics
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This book introduces the reader to the basic mathematical structures of theoretical physics: mainly Quantum Mechanics, Electromagnetic Theory, And Classical Mechanics. I used this at UC San Diego for a year long graduate course on Mathematical methods in physics and engineering. If one has the time, there is really a lot to be gained by carefully studying this book. A big part of the book is geared toward developing in detail the mathematics of the Quantum Theory. This is a good thing because in my experience most QM books are too eager to "get to the physics". It is true that you can get by with a superficial understanding of functional analysis and still do QM, but this book will give you an immensely deeper understanding of the underlying structure of the theory. In particular, the treatment of Green's functions and integral equations is good. There is chapter on Group Theory and it's uses in QM. Also is a chapter on Complex analysis, although it is a wise idea to read a book entirely devoted to this subject. Overall, I like this book very much.
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Outstanding. A Rare Gem.
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I wish all textbooks would be of this high caliber and price. It is one of my favorite books. Don't hesitate to buy it.
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Fantastic coverage of important topics
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This book has in-depth info on some of the topics that get less attention than they deserve in other physics texts, such as integral equations and hilbert space. The section on tensors is one of the clearest I've ever read.
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