Introduction to Partial Differential Equations (Universitext)

Borthwick, David

ISBN 10: 3319840517 ISBN 13: 9783319840512

Editorial: Springer, 2018

Idioma: Ingl�s

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Detalles bibliogr�ficos

T�tulo: Introduction to Partial Differential Equations (Universitext)
Editor: Springer
Fecha de publicaci�n: 2018
Idioma: Ingl�s
ISBN 10: 3319840517
ISBN 13: 9783319840512
Encuadernaci�n: Encuadernaci�n de tapa blanda
Estado: New

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Sinopsis

This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra. The author focuses on the most important classical partial differential equations, including conservation equations and their characteristics, the wave equation, the heat equation, function spaces, and Fourier series, drawing on tools from analysis only as they arise.

Within each section the author creates a narrative that answers the five questions:

What is the scientific problem we are trying to understand?
How do we model that with PDE?
What techniques can we use to analyze the PDE?
How do those techniques apply to this equation?
What information or insight did we obtain by developing and analyzing the PDE?

The text stresses the interplay between modeling and mathematical analysis, providing a thorough source of problems and an inspiration for the development of methods.

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David Borthwick, Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322

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