Description

Book 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.

Table of Contents
Mathematical Structures; Abstract Algebra; Vector Algebras; Topological Spaces; Algebraic Topology; Manifolds; Lie Groups; Clifford Groups; Riemannian Manifolds; Fiber Bundles; Categories and Functors;

Mathematics For Physics: An Illustrated Handbook

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    A Hardback by Adam Marsh

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      Book details

      Published 17 January 2018
      ISBN-13 9789813233911
      978-9813233911
      ISBN-10 9813233915

      Description

      Book 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.

      Table of Contents
      Mathematical Structures; Abstract Algebra; Vector Algebras; Topological Spaces; Algebraic Topology; Manifolds; Lie Groups; Clifford Groups; Riemannian Manifolds; Fiber Bundles; Categories and Functors;

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