Mathematics For Physics An Illustrated Handbook 1st Edition Adam Marsh by Adam Marsh 9789813233911, 9813233915 instant download after payment.

This unique book complements traditional textbooks by providing a visual yet rigorous survey of the mathematics used in theoretical physics beyond that typically covered in undergraduate math and physics courses. The exposition is pedagogical but compact, and the emphasis is on defining and visualizing concepts and relationships between them, as well as listing common confusions, alternative notations and jargon, and relevant facts and theorems. Special attention is given to detailed figures and geometric viewpoints. Certain topics which are well covered in textbooks, such as historical motivations, proofs and derivations, and tools for practical calculations, are avoided. The primary physical models targeted are general relativity, spinors, and gauge theories, with notable chapters on Riemannian geometry, Clifford algebras, and fiber bundles.
Contents: 
Mathematical Structures 
Abstract Algebra 
Vector Algebras 
Topological Spaces 
Algebraic Topology 
Manifolds 
Lie Groups 
Clifford Groups 
Riemannian Manifolds 
Fiber Bundles 
Categories and Functors 
Readership: Students in mathematics and physics who want to explore a level deeper into actual mathematical content.