World Scientific Publishing Company; 1st edition (17 January; 2018)
This one-of-a-kind book, Mathematics for Physics: An Illustrated Handbook (PDF), written by Adam Marsh, is a useful addition to conventional physics textbooks because it provides a visual yet rigorous survey of the mathematics used in theoretical physics. This survey goes beyond what is typically covered in college or undergraduate physics or mathematics courses. In addition to providing a list of alternative notations and jargon, as well as common confusions and pertinent theorems and facts, the presentation is didactic but succinct, and the emphasis is placed on defining and visually representing concepts as well as the relationships that exist between them. A focus of attention is placed on geometric viewpoints as well as figures with a lot of detail. Certain subjects, such as proofs and derivations, historical motives, and instruments for practical calculations, are circumvented, despite the fact that these topics are adequately addressed in textbooks. The key physical models that will be discussed are general relativity, gauge theories, and spinors. There will also be chapters on Clifford algebras, Riemannian geometry, and fiber bundles that are particularly noteworthy.