**An Introduction to D-Modules**

by Jean-Pierre Schneiders

**Publisher**: Universite de Liege 1991**Number of pages**: 73

**Description**:

The purpose of these notes is to introduce the reader to the algebraic theory of systems of partial differential equations on a complex analytic manifold. We start by explaining how to switch from the classical point of view to the point of view of algebraic analysis. Then, we perform a detailed study of the ring of differential operators and its modules.

Download or read it online for free here:

**Download link**

(640KB, PDF)

## Similar books

**A First Course of Partial Differential Equations in Physical Sciences and Engineering**

by

**Marcel B. Finan**-

**Arkansas Tech University**

Partial differential equations are often used to construct models of the most basic theories underlying physics and engineering. This book develops the basic ideas from the theory of partial differential equations, and applies them to simple models.

(

**8143**views)

**Lectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential Equations**

by

**K. Yosida**-

**Tata Institute of Fundamental Research**

In these lectures, we shall be concerned with the differentiability and the representation of one-parameter semi-groups of bounded linear operators on a Banach space and their applications to the initial value problem for differential equations.

(

**7514**views)

**Mathematical Theory of Scattering Resonances**

by

**Semyon Dyatlov, Maciej Zworski**-

**MIT**

Contents: Scattering resonances in dimension one; Resonances for potentials in odd dimensions; Black box scattering in Rn; The method of complex scaling; Perturbation theory for resonances; Resolvent estimates in semiclassical scattering; etc.

(

**5554**views)

**An Introduction to Partial Differential Equations**

by

**Per Kristen Jakobsen**-

**arXiv.org**

These lecture notes view the subject through the lens of applied mathematics. The physical context for basic equations like the heat equation, the wave equation and the Laplace equation are introduced early on, and the focus is on methods.

(

**582**views)