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PARTIAL DIFFERENTIAL EQUATIONS
An Introduction with Mathematica and Maple
by Ioannis P Stavroulakis (University of Ioannina, Greece) & Stepan A Tersian (University of Rousse, Bulgaria)
Preface (185k)
Table of Contents (96k)
Chapter 1: First-order Partial Differental Equations
Chapter 1.1: Introduction (267k)
Chapter 1.2: Linear First-order Equations (363k)
Chapter 1.3: The Cauchy Problem for First-order Quasi-linear Equations (584k)
This textbook is a self-contained introduction to partial differential equations. It is designed for undergraduate and first year graduate students who are mathematics, physics, engineering or, in general, science majors. The goal is to give an introduction to the basic equations of mathematical physics and the properties of their solutions, based on classical calculus and ordinary differential equations. Advanced concepts such as weak solutions and discontinuous solutions of nonlinear conservation laws are also considered. The material is illustrated with model examples. Mathematics software products such as Mathematica and Maple in ScientificWorkPlace are used in both graphical and computational aspects.
Contents:
- First-Order Partial Differential Equations
- Second-Order
Partial Differential Equations
- One-Dimensional Wave Equation
- One-Dimensional Diffusion Equation
- Shock Waves and Conservation Laws
- The Laplace Equation
- Fourier Series and Fourier Method for PDEs
- Diffusion and Wave Equations in Higher Dimensions
Readership: Undergraduates and first year graduates in mathematics,
physics and engineering.
"This clearly written book contains rather detailed and complete proofs and is therefore appropriate for a first semester with second year students as well as for self-instructions."
| 308pp |
Pub. date: Dec 1999 |
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