An Introduction to Partial Differential Equations
by Per Kristen Jakobsen
Publisher: arXiv.org 2019
Number of pages: 226
Description:
These lecture notes view the subject through the lens of applied mathematics. From this point of view, the physical context for basic equations like the heat equation, the wave equation and the Laplace equation are introduced early on, and the focus of the lecture notes are on methods, rather than precise mathematical definitions and proofs. With respect to methods, both analytical and numerical approaches are discussed.
Download or read it online for free here:
Download link
(2.3MB, PDF)
Similar books
Exterior Differential Systems and Euler-Lagrange Partial Differential Equationsby R. Bryant, P. Griffiths, D. Grossman - 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.
(17551 views)
Linear Partial Differential Equations and Fourier Theoryby Marcus Pivato - Cambridge University Press
Textbook for an introductory course on linear partial differential equations and boundary value problems. It also provides introduction to basic Fourier analysis and functional analysis. Written for third-year undergraduates in mathematical sciences.
(28630 views)
An Algorithm for Constructing Lyapunov Functionsby 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.
(8972 views)
Lectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential Equationsby 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.
(12159 views)