Applications of global analysis in mathematical physics
by Jerrold E. Marsden
Publisher: Publish or Perish, inc 1974
Number of pages: 277
The book introduces some methods of global analysis which are useful in various problems of mathematical physics. The author wants to make use of ideas from geometry to shed light on problems in analysis which arise in mathematical physics.
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by Matej Pavsic - arXiv
This a book is for those who would like to learn something about special and general relativity beyond the usual textbooks, about quantum field theory, the elegant Fock-Schwinger-Stueckelberg proper time formalism, and much more.
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.
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 Albert Tarantola - Springer
Reviews Lie groups, differential geometry, and adapts the usual notion of linear tangent application to the intrinsic point of view proposed for physics. The theory of heat conduction and the theory of linear elastic media are studied in detail.