A complete introduction to partial differential equations, this
textbook provides a rigorous yet accessible guide to students in
mathematics, physics and engineering. The presentation is lively
and up to date, paying particular emphasis to developing an
appreciation of underlying mathematical theory. Beginning with
basic definitions, properties and derivations of some basic
equations of mathematical physics from basic principles, the book
studies first order equations, classification of second order
equations, and the one-dimensional wave equation. Two chapters are
devoted to the separation of variables, whilst others concentrate
on a wide range of topics including elliptic theory, Green's
functions, variational and numerical methods. A rich collection of
worked examples and exercises accompany the text, along with a
large number of illustrations and graphs to provide insight into
the numerical examples. Solutions to selected exercises are
included for students whilst extended solution sets are available
to lecturers from
[email protected].
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