The first impression I got was that this book requires a good math background. I’d recommend at least multivariable calculus, with a solid grasp of partial derivatives and vector analysis. The book does an OK job of covering a few topics, namely vector analysis, certain topics in complex analysis, introductory calculus of variations and what the book calls “the theory of waves and vibration” which looks like harmonic/Fourier analysis.
After going through several chapters, I realised that this book was NOT written for those who have never studied its topics before. I got the impression that I was expected to have covered the material before. I always felt that the book was skipping vital points and jumping straight into the equations. A book on “theoretical” physics should concentrate on explaining the topics first, and then introducing the math.
Anyway, this book is pretty useless if you want to teach yourself the material for the first time; if you’ve already covered every, however, you’ll find it to be a very concise and thorough reference.

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