Partial Differential Equations: An Introduction With Matematica And Maple

Ioannis P Stavroulakis, Stepan A Tersian (Autoren)

Buch | Hardcover

308 Seiten

1999
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-3891-9 (ISBN)

Infos

A self-contained introduction to partial differential equations. It covers the basic equations of mathematical physics and the properties of their solutions, based on classical calculus and ordinary differential equations. The material is illustrated with model examples.

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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.

Inhalt

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.

Produkt-Details

• Verlagsort: Singapore
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• ISBN-10: 981-02-3891-6 / 9810238916
• ISBN-13: 978-981-02-3891-9 / 9789810238919
• Zustand: Neuware