Methods of Mathematical Physics, Vol. 1

So what can you say ah? I mean....These books have been written and co authored by DAVID HILBERT himself! So, if you are serious about mathematics and specially mathematical Physics you must have them. I bought these two volumes (1&2) back in 2015. It brings a lot of interesting stuff but if I just had to mention one thing would be this: Back in my BSc I took Volume 1 from the University Library and found myself with the general solution to the Euler-Lagrange equation when the functional from where it is derived (using calculus of variations technique) has higher derivatives or let's say greater than order two, here I found the solution for infinite order derivatives 2,3,4,5,6,7,8......n,n+1,etc. You may say that it is easy to find by yourself the solution and I agree BUT, when you are an undergraduate in the second year and finding yourself in front of the Calculus of Variations for the first time it is not so obvious, good book by a T. REX of Mathematics and Physics. If you want to know what did Hilbert do in Physics, he contended Einstein into who would find first the Action that led to Einstein's General Relativity Field Equations, they were getting paper after paper and so today the referred Action is known as "The Einstein-Hilbert action", just to give you an example, less to say HILBERT'S contribution to Mathematics: Hilbert discovered and developed a broad range of fundamental ideas including invariant theory, the calculus of variations, commutative algebra, algebraic number theory, the foundations of geometry, spectral theory of operators and its application to integral equations, mathematical physics, and the foundations of mathematics (particularly proof theory). He adopted and defended Georg Cantor's set theory and transfinite numbers. In 1900, he presented a collection of problems that set a course for mathematical research of the 20th century. Among other things he is known for: Hilbert's basis theorem, Hilbert's Nullstellensatz, Hilbert's axioms, Hilbert's problems, Hilbert's program, Hilbert space (which are fundamental for Quantum Mechanics), Hilbert system, Epsilon calculus, so again what can I say, you just got to buy these two volume books while they are still available despite the money price.

I studied this book as a graduate student at the Courant Institute a long time ago. Over the years my copy and I were separated. When I saw this available on Amazon through Eborn Books, I knew I had to buy it. The condition of this book is excellent for a book that was published in 1953. Kudos to Eborn Books

Glad to get hold of this second handed copy. The new print is also available in Amazon but is in such a poor quality. What a shame to contemporary science publishing industry!

This is an excellent reference regarding applied mathematics for physics and related fields.

This book is intended for mathematicians and not for physicists. All of the mathematics is developed through proofs of theorems. The chapter on approximation of functions is the best in the book. There is also a short introduction to Lebesgue integration which is the best explanation of what it actually means that I have ever seen! (i.e. not having to develop the messy business of measure theory that fills up 10s of pages in most books). If you want to learn graduate level mathematics (i.e. analysis and PDEs) in gorey detail then this is the book for you. If you want to understand applications, then it is not. I don't like the term "mathematical physics." It depend on which department teaches it. A mathematician will focus on the topics in this book. A physicist would focus on methods and not on proofs.

good book, useful for physics grad students. But it does not have any problems

excellent!

amazing