**Introduction to Partial Differential Equations**

by John Douglas Moore

**Publisher**: UCSB 2003**Number of pages**: 169

**Description**:

Our goal here is to develop the most basic ideas from the theory of partial differential equations, and apply them to the simplest models arising from physics. In particular, we will present some of the elegant mathematics that can be used to describe the vibrating circular membrane.

Download or read it online for free here:

**Download link**

(2.7MB, PDF)

## Similar books

**Lectures on Partial Differential Equations**

by

**G.B. Folland**-

**Tata Institute of Fundamental Research**

The purpose of this course was to introduce students to the applications of Fourier analysis -- by which I mean the study of convolution operators as well as the Fourier transform itself -- to partial differential equations.

(

**5278**views)

**An Algorithm for Constructing Lyapunov Functions**

by

**Sigurdur Freyr Hafstein**

In this monograph we develop an algorithm for constructing Lyapunov functions for arbitrary switched dynamical systems, possessing a uniformly asymptotically stable equilibrium. We give examples of Lyapunov functions constructed by our method.

(

**5271**views)

**Introductory Finite Difference Methods for PDEs**

by

**D. M. Causon, C. G. Mingham**-

**BookBoon**

This book presents finite difference methods for solving partial differential equations (PDEs) and also general concepts like stability, boundary conditions etc. The book is intended for undergraduates who know Calculus and introductory programming.

(

**7960**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.

(

**7698**views)