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Lectures on Differential Equations of Mathematical Physics - A First Course (Hardcover)
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Lectures on Differential Equations of Mathematical Physics - A First Course (Hardcover)
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The theory of partial differential equations of mathematical
physics has been one of the most important fields of study in
applied mathematics. This is essentially due to the frequent
occurrence of partial differential equations in many branches of
natural sciences and engineering. The present lecture notes have
been written for the purpose of presenting an approach based mainly
on the mathematical problems and their related solutions. The
primary concern, therefore, is not with the general theory, but to
provide students with the fundamental concepts, the underlying
principles, and the techniques and methods of solution of partial
differential equations of mathematical physics. One of the authors
main goals is to present a fairly elementary and complete
introduction to this subject which is suitable for the "first
reading" and accessible for students of different specialities. The
material in these lecture notes has been developed and extended
from a set of lectures given at Saratov State University and
reflects partially the research interests of the authors. It is
intended for graduate and advanced undergraduate students in
applied mathematics, computer sciences, physics, engineering, and
other specialities. The prerequisites for its study are a standard
basic course in mathematical analysis or advanced calculus,
including elementary ordinary differential equations. Although
various differential equations and problems considered in these
lecture notes are physically motivated, a knowledge of the physics
involved is not necessary for understanding the mathematical
aspects of the solution of these problems.
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