**Differential Equations of Mathematical Physics**

by Max Lein

**Publisher**: arXiv 2015**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.

Download or read it online for free here:

**Download link**

(2.1MB, PDF)

## Similar books

**Lecture Notes on Mathematical Methods of Classical Physics**

by

**Vicente Cortes, Alexander S. Haupt**-

**arXiv**

Topics include Lagrangian Mechanics, Hamiltonian Mechanics, Hamilton-Jacobi Theory, Classical Field Theory formulated in the language of jet bundles, field theories such as sigma models, gauge theory, and Einstein's theory of general relativity.

(

**5404**views)

**Special Functions and Their Symmetries: Postgraduate Course in Applied Analysis**

by

**Vadim Kuznetsov, Vladimir Kisil**-

**University of Leeds**

This text presents fundamentals of special functions theory and its applications in partial differential equations of mathematical physics. The course covers topics in harmonic, classical and functional analysis, and combinatorics.

(

**12249**views)

**LieART: A Mathematica Application for Lie Algebras and Representation Theory**

by

**Robert Feger, Thomas W. Kephart**-

**arXiv**

We present the Mathematica application LieART (Lie Algebras and Representation Theory) for computations in Lie Algebras and representation theory, such as tensor product decomposition and subalgebra branching of irreducible representations.

(

**6855**views)

**Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem**

by

**Peter B. Gilkey**-

**Publish or Perish Inc.**

This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas and the Gauss-Bonnet theorem.

(

**7290**views)