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Mathematics of Classical and Quantum Physics
 
 

Mathematics of Classical and Quantum Physics [Paperback]

Frederick W. Byron Jr. , Robert W. Fuller
4.8 out of 5 stars  See all reviews (12 customer reviews)
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Product Description

Product Description

Well-organized text designed to complement graduate-level physics texts in classical mechanics, electricity, magnetism, and quantum mechanics. Topics include theory of vector spaces, analytic function theory, Green's function method of solving differential and partial differential equations, theory of groups, more. Many problems, suggestions for further reading.

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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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12 Reviews
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4.8 out of 5 stars (12 customer reviews)
 
 
 
 
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7 of 8 people found the following review helpful
4.0 out of 5 stars Important Information, May 28 2003
By 
"immoderate" (NJ United States) - See all my reviews
This review is from: Mathematics of Classical and Quantum Physics (Paperback)
This book is not, and I repeat, IS NOT for the inexperienced. This book is a GRADUATE LEVEL TEXT on mathematical physics. If you are an undergraduate student taking a physics class, this book will be of no use to you. I recommend that anyone interested in purchasing this book have a somewhat decent amount of mathematical background. I personally recommend Calculus I-IV, Advanced Calculus and Linear Algebra.
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.
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5 of 5 people found the following review helpful
5.0 out of 5 stars The best ever, Nov 9 2002
By 
Samuel Owen (Florida, United States) - See all my reviews
This review is from: Mathematics of Classical and Quantum Physics (Paperback)
If you are like so me, you have spent years torturing yourself with horrific books like Matthews and Walker or Arfken. But almost by accident I came across this absolute gem, this masterpiece of balance between rigor and informality. The book presents mathematical physics on a level that is exactly at the level of graduate physics. The notation, the viewpoint and the emphasis are exactly what you need to master just about all the mathematics in graduate physics. This is all done not as Afken or Matthews and Walker do it, by slapping together hodgepodges of this and that into a cookbook, but by unifying mathematical physics into a beautiful tapestry, with the underlying fabric of linear vector spaces.
This book would be worth it if the price were 10 times more than it is.
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3 of 3 people found the following review helpful
5.0 out of 5 stars One of the Best, July 11 2002
By 
Derek Lee (St. Paul, MN USA) - See all my reviews
This review is from: Mathematics of Classical and Quantum Physics (Paperback)
This book was my very first introduction to mathematical physics; in fact, it was really my first introduction to either physics or math beyond the algebra level. At the time I bought it, when I was 9, the vast majority of the book was way, way, way above my head, but that did not stop me from reading it more and more, trying the best I could to make sense of it. I think it is a true testimony to the greatness of this set that it could hold the attention of someone who had no comprehension of about 90% of the material. In the course of almost eight years, I was inspired by this book to get material on calculus, first basic but then advanced, followed by many books on physics. It was largely because of these studies that I started college at 15, and again largely because of these studies that I am now getting A's in quantum field theory eight years later. I do not bring up these facts of my existance to impress people; if that were my intent, I would be ashamed to write this review. My intent is to give people an example which to some extent gives a slight indication of how wonderful this book is; I only hope that others enjoy this text as much as I do.
Personal stories aside, perhaps I should talk about specific details of this book. Every chapter is excellent, but I feel that some of them deserve special mention: chapters 5, 6, and 7. Chapter 5 is absolutely perfect, and contains a presentation of Hilbert spaces that is hard to find elsewhere. It is very unified, especially in its treatment of Sturm-Louiville polynomials; in other texts, the principal members of this set are given individual treatment, with little or no sense of unification, but here, the enlightening knowledge is revealed that they are all really the same thing, but with different weight functions. Chapter six is a fine treatment of analytic function theory, with special emphasis on the unifying Cauchy-Goursat theorem, and a precise discussion on which theorems imply others, what are the particularly strong results, and what are the most valuable techniques for the practising physicist in this vast field. Chapter 7 is an excellent introduction to Green's function theory, with special emphasis on the fact that the Green's function is not only determined by the differential equation, but also, and very importantly, by the boudary conditions. There are many other wonderful things about this book, but to express them all, I would have to write a book myself.
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