Pinchover Y., Rubinstein J., An Introduction to Partial Differential Equations (Cambridge Press).pdf

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AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS
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AN INTRODUCTION TO PARTIAL DIFFERENTIAL
EQUATIONS
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, with particular emphasis on developing
an appreciation of underlying mathematical theory.
Beginning with basic definitions, properties and derivations of some fundamental
equations of mathematical physics from basic principles, the book studies first-order
equations, the 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 and hints to selected exercises are included for students whilst extended
solution sets are available to lecturers from solutions@cambridge.org.
AN INTRODUCTION TO PARTIAL
DIFFERENTIAL EQUATIONS
YEHUDA PINCHOVER AND JACOB RUBINSTEIN
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