A First Course of Partial Differential Equations in Physical Sciences and Engineering
by Marcel B. Finan
Publisher: Arkansas Tech University 2009
Number of pages: 285
Partial differential equations are often used to construct models of the most basic theories underlying physics and engineering. The goal of this book is to develop the most basic ideas from the theory of partial differential equations, and apply them to the simplest models arising from the above mentioned fields.
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by R. E. Showalter - 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.
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This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners.
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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.
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This text aims at highlights of spectral theory for self-adjoint partial differential operators, with an emphasis on problems with discrete spectrum. The course aims to develop your mental map of spectral theory in partial differential equations.