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Differential Equations of Mathematical Physics

Mathematical Physics 2015-08-18 v1 math.MP

Abstract

These lecture notes for the course APM 351 at the University of Toronto are aimed at mathematicians and physicists alike. It is not meant as an introductory course to PDEs, but rather gives an overview of how to view and solve differential equations that are common in physics. Among others, I cover Hamilton's equations, variations of the Schr\"odinger equation, the heat equation, the wave equation and Maxwells equations.

Keywords

Cite

@article{arxiv.1508.03834,
  title  = {Differential Equations of Mathematical Physics},
  author = {Max Lein},
  journal= {arXiv preprint arXiv:1508.03834},
  year   = {2015}
}

Comments

192 pages. arXiv admin note: text overlap with arXiv:1009.0444

R2 v1 2026-06-22T10:34:43.100Z