Introduction to Partial Differential Equations (Universitext) - Softcover

Borthwick, David

 
9783319840512: Introduction to Partial Differential Equations (Universitext)
Softcover
ISBN 10: 3319840517 ISBN 13: 9783319840512
Verlag: Springer, 2018

Inhaltsangabe

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: 
  1. What is the scientific problem we are trying to understand?
  2. How do we model that with PDE?
  3. What techniques can we use to analyze the PDE?
  4. How do those techniques apply to this equation?
  5. 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. 

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

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

Von der hinteren Coverseite

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:
(1) What is the scientific problem we are trying to understand?
(2) How do we model that with PDE?
(3) What techniques can we use to analyze the PDE?
(4) How do those techniques apply to this equation?
(5) 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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2018
Sprache
Englisch
ISBN 10 
3319840517
ISBN 13 
9783319840512
Einband
Tapa blanda
Anzahl der Seiten
304
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Hamburg
Deutschland

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ISBN 10:  3319489348 ISBN 13:  9783319489346
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