Geometry, Topology and Physics – Mikio Nakahara Express Levering

This textbook provides an introduction to the ideas and techniques of differential geometry and topology. It starts with a brief survey of the physics needed to follow the arguments – including quantum field theory, gauge theory and general relativity – to make sure all readers set off from the same starting point. Basic theory of vector spaces and topology is also included to make the book self-contained. Working from the basics to the more elaborate concepts of topology and geometry, all is carefully expl…