Titel: Introduction to Partial Differential Equations (Paperback or Softback)
Verlag: Springer 7/13/2018
Ver�ffentlichungsdatum: 2018
Sprache: Englisch
ISBN-10: 3319840517
ISBN-13: 9783319840512
Bindung: Paperback or Softback
Zustand: New
Buchtyp: Book

�ber diesen Titel

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:

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.

�ber die Autorin bzw. den Autor

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

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