Mathematics for Physics: An Illustrated Handbook (PDF) by Adam Marsh

This unique book, Mathematics for Physics: An Illustrated Handbook (PDF) by Adam Marsh, complements traditional textbooks by providing a visual yet rigorous survey of the mathematics used in theoretical physics beyond that typically covered in college or undergraduate physics or mathematics courses. The exposition is pedagogical but compact, and the emphasis is on defining and visualizing concepts and relationships between them, as well as listing alternative notations and jargon, common confusions, and relevant theorems and facts. Special attention is given to geometric viewpoints and detailed figures. Certain topics which are well covered in textbooks, such as proofs and derivations, historical motivations, and tools for practical calculations, are avoided. The primary physical models targeted are general relativity, gauge theories, and spinors with notable chapters on Clifford algebras, Riemannian geometry, and fiber bundles.