Introduction to Mathematical Physics

Contents

 * 1) /Introduction/
 * 2) Some mathematical problems and their solution
 * 3) Boundary, spectral and evolution problems
 * 4) Linear boundary problems, integral methods
 * 5) Boundary problems, variational methods
 * 6) Linear evolution problems, spectral method
 * 7) Nonlinear evolution problems, perturbative methods
 * 8) Evolution, numerical time integration
 * 9) Particular trajectories and geometry in phase space
 * 10) Use of change of variables
 * 11) N body problem and matter description
 * 12) Introduction
 * 13) Origin of matter
 * 14) Atoms
 * 15) Molecules
 * 16) Crystalline solids
 * 17) Gas and liquids
 * 18) Plasmas
 * 19) Other matter arrangements
 * 20) Abstract
 * 21) Relativity
 * 22) Electromagnetism
 * 23) Quantum mechanics
 * 24) N body problem in quantum mechanics
 * 25) Statistical physics
 * 26) N body problems and statistical equilibrium
 * 27) Continuous approximation
 * 28) Energy in continuous media

Appendix

 * 1) Measure and integration
 * 2) Groups
 * 3) Vectorial spaces
 * 4) Dual of a vectorial space
 * 5) Topological spaces
 * 6) Dual of a topological space
 * 7) Differentials and derivatives