Introduction to Partial Differential Equations
by John Douglas Moore
Publisher: UCSB 2003
Number of pages: 169
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.
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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.
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.
by Erich Miersemann - Leipzig University
These lecture notes are intended as a straightforward introduction to partial differential equations which can serve as a textbook for undergraduate and beginning graduate students. Some material of the lecture notes was taken from some other books.
by Willard Miller - Addison-Wesley
This volume is concerned with the relationship between symmetries of a linear second-order partial differential equation of mathematical physics and the coordinate systems in which the equation admits solutions via separation of variables.