Ebook: Mathematics for Physics: An Illustrated Handbook
Author: Adam Marsh
- Genre: Mathematics
- Tags: mathematics, theoretical physics, general relativity, spinors, gauge theories, Riemann geometry, Clifford algebras, fiber bundles, Mathematical Structures, Abstract Algebra, Vector Algebras, Topological Spaces, Algebraic Topology, Manifolds, Lie Groups, Clifford Groups, Riemann Manifolds
- Year: 2018
- Publisher: World Scientific Publishing Co Pte Ltd
- Edition: 1
- Language: English
- pdf
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.
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.
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.
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