Logo

Differential Equations of Mathematical Physics

Small book cover: Differential Equations of Mathematical Physics

Differential Equations of Mathematical Physics
by

Publisher: arXiv
Number of pages: 198

Description:
These lecture notes 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 Schroedinger equation, the heat equation, the wave equation and Maxwell's equations.

Home page url

Download or read it online for free here:
Download link
(2.1MB, PDF)

Similar books

Book cover: Introduction to Quantum IntegrabilityIntroduction to Quantum Integrability
by - arXiv
The authors review the basic concepts regarding quantum integrability. Special emphasis is given on the algebraic content of integrable models. A short review on quantum groups as well as the quantum inverse scattering method is also presented.
(5455 views)
Book cover: Lie Systems: Theory, Generalisations, and ApplicationsLie Systems: Theory, Generalisations, and Applications
by - arXiv
Lie systems form a class of systems of first-order ordinary differential equations whose general solutions can be described in terms of certain finite families of particular solutions and a set of constants, by means of a particular type of mapping.
(5168 views)
Book cover: Lectures on the Singularities of the Three-Body ProblemLectures on the Singularities of the Three-Body Problem
by - Tata Institute of Fundamental Research
From the table of contents: The differential equations of mechanics; The three-body problem : simple collisions (The n-body problem); The three-body problem: general collision (Stability theory of solutions of differential equations).
(5202 views)
Book cover: Lectures on Diffusion Problems and Partial Differential EquationsLectures on Diffusion Problems and Partial Differential Equations
by - Tata Institute of Fundamental Research
Starting from Brownian Motion, the lectures quickly got into the areas of Stochastic Differential Equations and Diffusion Theory. The section on Martingales is based on additional lectures given by K. Ramamurthy of the Indian Institute of Science.
(5246 views)