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The 4th Edition of this text 1970 was used in my 4-5 quarters of undergraduate upper division Math Methods for Physicists course for physics majors in 1975. It was one of the most dense and substantive classes I had taken up to that point and the book combined with a great instructor was a fantastic combination. I kept my old copy for decades for referenced. My old text came in handy a number of times in my career in the aerospace industry. I'm planning in my old age of going for a masters in physics and I recently bought this 7th edition for review and reference. Fine book and very accessible as long as you have the science/engineering kind of math prerequisites!
This is a very good book for mathematical physicists, suitable for undergraduate to beginning graduate level. It covers a wide range of topics including tensors, vectors, differential forms, ODEs, PDEs, and analysis concepts like vector spaces, Fourier series, and special functions such as Gamma, Bessel, and Legendre functions. It also provides an introduction to group theory.
Essentially, whenever you encounter a problem, this book helps you identify the mathematics necessary to solve it. The downside is that, since it covers so much material in a single volume, no topic is discussed in great depth—but just enough to get the job done, perhaps! The material is clear, well-explained, and ideal for self-study. It’s not a proof-and-theorem-style book like those in pure or rigorous mathematics, but rather a practical and intuitive guide for understanding the mathematical tools used in physics.