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Introduction to Partial Differential Equations by David Borthwick
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Introduction to Partial Differential Equations

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Description

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. 

Author Biography:

David Borthwick, Department of Mathematics and Computer Science, Emory University,  Atlanta, GA 30322
Release date Australia
July 13th, 2018
Audience
  • Professional & Vocational
Edition
Softcover reprint of the original 1st ed. 2016
Illustrations
61 Illustrations, color; 7 Illustrations, black and white; XVI, 283 p. 68 illus., 61 illus. in color.
Pages
283
ISBN-13
9783319840512
Product ID
28341295

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