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The Geometry of Physics: An Introduction Theodore Frankel
Publisher: Cambridge University Press

This publication addresses, in particular, students of physics and mathematics in their final undergraduate year. I am looking to learn/study up on differential geometry (including n-forms, tensors, etc) and perhaps group theory so as to better understand the mathematics behind some of the physics that I'm interested in (General Relativity, and the foundations of Quantum Mechanics with extensions perhaps into QFT). Content Level » Upper undergraduate. Nakahara - The Geometry of Physics, An Introduction by T. A short introduction into the covariant formulation of electrodynamics is also given. Geometrical methods of mathematical physics by B. Keywords » Lorentz transformations - covariant electrodynamics - geometry of Einstein-Minkowsky spacetime - paradoxes in relativistic physics - relativistic mechanics and particles - relativity textbook - special theory of relativity. Schutz - Geometry, Topology, and Physics by M. I'm looking for 2 For differential geometry, the book "Introduction to smooth manifolds" by Lee is good, but it presupposes (a little bit) of topology. The Geometry and Physics of Knots by Michael F.