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Partial Differential Equations with Mathematica
Author

Dimitri Vvedensky
Organization: Imperial College
Department: The Blackett Laboratory
Book information

Publisher: Addison-Wesley
Copyright year: 1993
ISBN: 0201544091
Medium: Hardcover
Pages: 465
Out of print?: Y
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Contents

Introduction | First-Order Partial Differential Equations | Second-Order Partial Differential Equations | Separation of Variables and the Sturm-Liouville Problem | Series Solutions of Ordinary Differential Equations | Special Functions and Orthogonal Polynomials | Transform Methods and Green's Functions | Integral Representations | Introduction to Nonlinear Partial Differential Equations | The Method of Inverse Scattering
Description

Comprises a course on partial differential equations for physicists, engineers, and mathematicians. Uses a geometric approach in providing an overview of mathematical physics. Uses Mathematica to perform complex algebraic manipulations, display simple animations and 3D solutions, and write programs to solve differential equations. An electronic supplement is available.
Subject

*Mathematics > Calculus and Analysis > Differential Equations
Keywords

Book, Publications, Partial Differential Equations, PDEs, textbook, notebooks, First-Order Partial Differential Equations, Second-Order Partial Differential Equations, Boundary Conditions, Hyperbolic Equations, Elliptic Equations, Sturm-Liouville Problem
Related items

*Partial Differential Equations with Mathematica (Japanese translation)   [in Books]
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README.txt (2.7 KB) - Plain-text version of README.nb
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Chapter1(1).m (865.3 KB) - Mathematica package
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Chapter1(2).m (3.2 MB) - Mathematica package
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Chapter1.nb (28.2 KB) - Introduction
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Chapter10.nb (756.1 KB) - The Method of Inverse Scattering
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Chapter2(1).m (1.1 MB) - Mathematica package
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Chapter2(2).m (696.9 KB) - Mathematica package
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Chapter2.nb (211.9 KB) - First-Order Partial Differential Equations
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Chapter3(1).m (236.6 KB) - Mathematica package
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Chapter3(2).m (480 KB) - Mathematica package
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Chapter3.nb (1.4 MB) - Second-Order Partial Differential Equations
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Chapter4(1).m (402.6 KB) - Mathematica package
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Chapter4(2).m (228.2 KB) - Mathematica package
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Chapter4(3).m (492 KB) - Mathematica package
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Chapter4(4).m (240.6 KB) - Mathematica package
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Chapter4(5).m (297.9 KB) - Mathematica package
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Chapter4(6).m (658 KB) - Mathematica package
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Chapter4(7).m (676.1 KB) - Mathematica package
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Chapter4.nb (131.7 KB) - Separation of Variables and the Sturm-Liouville Problem
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Chapter5(1).m (127.3 KB) - Mathematica package
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Chapter5(2).m (34 KB) - Mathematica package
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Chapter5(3).m (40.8 KB) - Mathematica package
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Chapter5.nb (27.3 KB) - Series Solutions of Ordinary Differential Equations
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Chapter6.nb (1.9 MB) - Special Functions and Orthogonal Polynomials
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Chapter7.nb (294.4 KB) - Transform Methods and Green's Functions
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Chapter8.nb (654.9 KB) - Integral Representations
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Chapter9.nb (1.3 MB) - Introduction to Nonlinear Partial Differential Equations
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Errata.tex (8.7 KB) - LaTeX source file
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LaplaceTransform.m (54.5 KB) - Mathematica package
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README.nb (9.8 KB) - Mathematica notebook, revision history

Files specific to Mathematica 2.2 version:
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Chapter1.ma (14 KB) - Introduction
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Chapter10.ma (532.2 KB) - The Method of Inverse Scattering
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Chapter2.ma (106.7 KB) - First-Order Partial Differential Equations
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Chapter3.ma (969.8 KB) - Second-Order Partial Differential Equations
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Chapter4.ma (68.5 KB) - Separation of Variables and the Sturm-Liouville Problem
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Chapter5.ma (14.8 KB) - Series Solutions of Ordinary Differential Equations
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Chapter6.ma (1.7 MB) - Special Functions and Orthogonal Polynomials
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Chapter7.ma (135.8 KB) - Transform Methods and Green's Functions
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Chapter8.ma (528.9 KB) - Integral Representations
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Chapter9.ma (924.1 KB) - Introduction to Nonlinear Partial Differential Equations
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README.ma (6.7 KB) - Mathematica notebook, revision history