Introduction to Partial Differential Equations (Universitext)

Borthwick, David

ISBN 10: 3319489348 ISBN 13: 9783319489346

Editorial: Springer, 2017

Idioma: Ingl�s

Condici�n: Nuevo Encuadernaci�n de tapa dura

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Detalles bibliogr�ficos

T�tulo

Introduction to Partial Differential Equations (Universitext)

Editor

Springer

Fecha de publicaci�n

2017

Idioma

Ingl�s

ISBN 10

3319489348

ISBN 13

9783319489346

Encuadernaci�n

Hardcover

Edici�n

1st ed. 2016.

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 inspirationfor the development of methods.

Acerca del autor

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

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