Introduction to Partial Differential Equations - Pinchover, Yehuda

Introduction to Partial Differential Equations

Yehuda Pinchover

Yayınevi: Cambridge University Press

Yayın tarihi: 05/2005

ISBN: 9780521613231

Yazar : Jacob Rubinstein

İngilizce | 384 Sayfa | 174 mm x 248 mm

Tür: Matematik-İstatistik

  • Temin Süresi 28 - 42 iş günü


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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 and extended solution sets are available to lecturers from

Table of Contents:
1 Introduction
2 First-order equations
3 Second-order linear equations in two independent variables
4 The one-dimensional wave equation
5 The method of separation of variables
6 Sturm-Liouville problems and eigenfunction expansions
7 Elliptic equations
8 Green's functions and integral representations
9 Equations in high dimensions
10 Variational methods
11 Numerical methods
12 Solutions of odd-numbered problems

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