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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.
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