This is an interesting text in that it discusses the mathematics of physics using the language of mathematicians -- a language that is generally never used by physicists. Physicists tend to phrase the mathematics they use in the terms of tensor analysis and vector analysis, while mathematicians tend to use the more modern and elegant language of differential forms for the same core mathematical techniques. In this book the author discusses, in non-rigorous terms, the subject of differential forms as applied to various physics problems. The text reads more like a physics book than a math book, and appears to be aimed at physicists and engineers. I find the early motivation for differential forms, while quite straight forward, to be uninspired and shallow. Overall the work is a fun, fast paced, read with lots of history and applications to sink your teeth into.
