**Partial Differential Equations of Physics**

by Robert Geroch

**Publisher**: arXiv 1996**Number of pages**: 57

**Description**:

All partial differential equations that describe physical phenomena in space-time can be cast into a universal quasilinear, first-order form. We describe some broad features of systems of differential equations so formulated. Examples of such features include hyperbolicity of the equations, constraints and their roles, how diffeomorphism freedom is manifest, and how interactions between systems arise and operate.

Download or read it online for free here:

**Download link**

(500KB, PDF)

## Similar books

**Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equations**

by

**Horst R. Beyer**-

**arXiv**

This course introduces the use of semigroup methods in the solution of linear and nonlinear (quasi-linear) hyperbolic partial differential equations, with particular application to wave equations and Hermitian hyperbolic systems.

(

**8289**views)

**Foundations of Tensor Analysis for Students of Physics and Engineering With an Introduction to the Theory of Relativity**

by

**Joseph C. Kolecki**-

**Glenn Research Center**

Tensor analysis is useful because of its great generality and compact notation. This monograph provides a conceptual foundation for students of physics and engineering who wish to pursue tensor analysis as part of their advanced studies.

(

**5937**views)

**Introduction to Differential Geometry and General Relativity**

by

**Stefan Waner**

Smooth manifolds and scalar fields, tangent vectors, contravariant and covariant vector fields, tensor fields, Riemannian manifolds, locally Minkowskian manifolds, covariant differentiation, the Riemann curvature tensor, premises of general relativity.

(

**16784**views)

**Spacetime Geometry and General Relativity**

by

**Neil Lambert**-

**King's College London**

This course is meant as introduction to what is widely considered to be the most beautiful and imaginative physical theory ever devised: General Relativity. It is assumed that you have a reasonable knowledge of Special Relativity as well as tensors.

(

**5130**views)