Pinchover Y., Rubenstein J. - An Introduction to Partial Differential Equations (Cambridge, 2005).pdf - Równania różniczkowe - besia86

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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

Pinchover Y., Rubenstein J. - An Introduction to Partial Differential Equations (Cambridge, 2005).pdf