MATHEMATICS FOR PHYSICS: AN ILLUSTRATED HANDBOOK - Hardcover

Adam Marsh

Hardcover

ISBN 10: 9813233915 ISBN 13: 9789813233911

Publisher: World Scientific Publishing Co Pte Ltd, 2018

Synopsis

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.

About this title

From the Back Cover

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, some of which would seem to be novel to the literature. 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.

Edition details

• Publisher: World Scientific Publishing Co Pte Ltd
• Publication date: 2018
• Language: English
• ISBN 10: 9813233915
• ISBN 13: 9789813233911
• Binding: Hardcover
• Edition number: 1
• Number of pages: 300