The Geometry of Physics
by Theodore Frankel · first published 1997
3mentions
3recommended by
3HN commenters
2021–2026first – last mentioned
100% recommend
"This book is intended to provide a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles, and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism (in flat and curved space), thermodynamics, the deformation tensors of elasticity, soap films, special and general relativity, the Dirac operator and spinors, and gauge fields, including Yang-Mills, the Aharonov-Bohm ef
Affiliate links. As an Amazon Associate I earn from qualifying purchases.
The Geometry of Physics: An Introduction by Theodore Frankel A masterpiece that formalizes all of the handway bits you learned in physics. Will change your perspective forever. Thermodynamics and an Introduction to Thermostatistics Herbert…
on “Ask HN: Math books you recommend just for the way they are written?” ↗…to be more helpful. Since Lie algebras are special types of differential manifolds, you can learn quite a bit by studying the geometry and this quickly leads into gauge theory and modern physics. The Geometry of Physics: An Introduction, by Theodore Frankel does a good job illustrating a lot of aspects of geometry even offering some geometric insight into some classical physics. It is an absolute necessity for general…
on “What is the inverse of a vector?” ↗Over the past year I worked through Frankel’s “The Geometry of Physics” cover to cover, not to relearn physics, but to rebuild a modern geometric toolbox as it is actually used there: manifolds, differential forms, connections and curvature, Lie groups and algebras, fiber…
on “Ask HN: Where does modern geometry survive contact with SGD?” ↗