Logo

An Introduction to D-Modules

Small book cover: An Introduction to D-Modules

An Introduction to D-Modules
by

Publisher: Universite de Liege
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.

Home page url

Download or read it online for free here:
Download link
(640KB, PDF)

Similar books

Book cover: Hilbert Space Methods for Partial Differential EquationsHilbert Space Methods for Partial Differential Equations
by - Pitman
Written for beginning graduate students of mathematics, engineering, and the physical sciences. It covers elements of Hilbert space, distributions and Sobolev spaces, boundary value problems, first order evolution equations, etc.
(16157 views)
Book cover: Introduction to the Numerical Integration of PDEsIntroduction to the Numerical Integration of PDEs
by - University of Durham
In these notes, we describe the design of a small C++ program which solves numerically the sine-Gordon equation. The program is build progressively to make it multipurpose and easy to modify to solve any system of partial differential equations.
(12728 views)
Book cover: Exterior Differential Systems and Euler-Lagrange Partial Differential EquationsExterior Differential Systems and Euler-Lagrange Partial Differential Equations
by - University Of Chicago Press
The authors present the results of their development of a theory of the geometry of differential equations, focusing especially on Lagrangians and Poincare-Cartan forms. They also cover certain aspects of the theory of exterior differential systems.
(17584 views)
Book cover: Lectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential EquationsLectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential Equations
by - 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.
(12191 views)