Mathematics for Theoretical Physics
by Jean Claude Dutailly
Publisher: arXiv 2012
Number of pages: 767
This is a comprehensive and precise coverage of the mathematical concepts and tools used in present theoretical physics: differential geometry, Lie groups, fiber bundles, Clifford algebra, differential operators, normed algebras, connections, etc.
Home page url
Download or read it online for free here:
by Douglas Lundholm, Lars Svensson - arXiv
These are lecture notes for a course on the theory of Clifford algebras. The various applications include vector space and projective geometry, orthogonal maps and spinors, normed division algebras, as well as simplicial complexes and graph theory.
by Sergiu I. Vacaru - arXiv
The monograph summarizes the author's results on the geometry of anholonomic and locally anisotropic interactions. The main subjects are in the theory of field interactions, strings and diffusion processes on spaces, superspaces and isospaces.
by Alex Madon - Wikibooks
The goal of this book is to propose an ensemble view of modern physics. The coherence between various fields of physics is insured by following two axes: a first is the universal mathematical language; the second is the study of the N body problem.
by Boris Dubrovin - SISSA
These are lecture notes on various topics in analytic theory of differential equations: Singular points of solutions to analytic differential equations; Monodromy of linear differential operators with rational coefficients.