Page 4 - Essentials of applied mathematics for scientists and engineers

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ABSTRACT
This is a book about linear partial differential equations that are common in engineering and
the physical sciences. It will be useful to graduate students and advanced undergraduates in
all engineering fields as well as students of physics, chemistry, geophysics and other physical
sciences and professional engineers who wish to learn about how advanced mathematics can
be used in their professions. The reader will learn about applications to heat transfer, fluid
flow, mechanical vibrations. The book is written in such a way that solution methods and
application to physical problems are emphasized. There are many examples presented in detail
and fully explained in their relation to the real world. References to suggested further reading
are included. The topics that are covered include classical separation of variables and orthogonal
functions, Laplace transforms, complex variables and Sturm-Liouville transforms.

KEYWORDS
Engineering mathematics, separation of variables, orthogonal functions, Laplace transforms,
complex variables and Sturm-Liouville transforms, differential equations.