Partial Differential Equations: An Introduction with Mathematica and Maple (2nd Edition)
Ioannis P. Stavroulakis, Stepan A. TersianBooks.org participates in affiliate programs including Bookshop.org and the Amazon Services LLC Associates Program. We may earn a commission from qualifying purchases made through links on this page, at no additional cost to you.
Overview
This textbook is a self-contained introduction to partial differential equations. It has been designed for undergraduates and first year graduate students majoring in mathematics, physics, engineering, or science. The text provides 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.Synopsis
This introductory text for undergraduate and first year graduate courses explains the basic equations of mathematical physics and the properties of their solutions based on classical calculus and ordinary differential equations, including using the newest software. Stavroulakis (U. of Ioannina, Greece) and Tersian (U. of Rousse, Bulgaria) break the work down into first-order partial differential equations (PDEs), second-order PDEs, one-dimensional wave equation, one-dimensional diffusion equation, weak solutions, shock waves, conservation laws, the Laplace equation, Fourier series and Fourier methods for PDEs and diffusion and wave equations in higher dimensions. They include exercises and answers or hints for solving them. Annotation ©2004 Book News, Inc., Portland, OR
Booknews
An introduction for undergraduate and first year graduate students majoring in mathematics, physics, or engineering. Covers basic equations of mathematical physics and 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. Model examples are given illustrated by Mathematica and MAPLE. Includes chapter problems. Stavroulakis is affiliated with the University of Ioannina, Greece. Tersian is affiliated with the University of Rousse, Bulgaria. Annotation c. Book News, Inc., Portland, OR (booknews.com)