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Partial Differential Equations: An Introduction with Mathematica and Maple

✍ Scribed by Ioannis P. Stavroulakis, Stepan A. Tersian


Publisher
World Scientific Publishing Company
Year
2004
Tongue
English
Leaves
319
Edition
2
Category
Library

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✦ 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.

✦ Subjects


ΠœΠ°Ρ‚Π΅ΠΌΠ°Ρ‚ΠΈΠΊΠ°;Π”ΠΈΡ„Ρ„Π΅Ρ€Π΅Π½Ρ†ΠΈΠ°Π»ΡŒΠ½Ρ‹Π΅ уравнСния;Π”ΠΈΡ„Ρ„Π΅Ρ€Π΅Π½Ρ†ΠΈΠ°Π»ΡŒΠ½Ρ‹Π΅ уравнСния Π² частных ΠΏΡ€ΠΎΠΈΠ·Π²ΠΎΠ΄Π½Ρ‹Ρ…;


πŸ“œ SIMILAR VOLUMES


Partial differential equations. Introduc
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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 t

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✍ Ioannis P. Stavroulakis, Stepan A. Tersian πŸ“‚ Library πŸ“… 2004 πŸ› World Scientific Pub Co Inc 🌐 English

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