Topics in Spectral Theory
by Vojkan Jaksic
Publisher: McGill University 2005
Number of pages: 79
The subject of these lecture notes is spectral theory of self-adjoint operators and some of its applications to mathematical physics. The main theme of the text is the interplay between spectral theory of self-adjoint operators and classical harmonic analysis.
Download or read it online for free here:
by Michael Stone, Paul Goldbart - Cambridge University Press
This book provides a graduate-level introduction to the mathematics used in research in physics. It focuses on differential and integral equations, Fourier series, calculus of variations, differential geometry, topology and complex variables.
by William W. Symes - Rice University
This course aims to make students aware of the physical origins of the main partial differential equations of classical mathematical physics, including the equations of fluid and solid mechanics, thermodynamics, and classical electrodynamics.
by Jean Claude Dutailly - arXiv
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.
by Jerrold E. Marsden - Publish or Perish, inc
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.