World Scientific Publishing Company; 1st edition (17 January; 2018)
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.