Overview
- Perfect book for a ?One-semester PDE course
- Includes a thorough discussion of modeling process for each equation
- Covers indepth three types of linear PDES: elliptic, parabolic, and hyperbolic?
- Includes supplementary material: sn.pub/extras
Part of the book series: Universitext (UTX)
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Table of contents (14 chapters)
Keywords
About this book
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.
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Bibliographic Information
Book Title: Introduction to Partial Differential Equations
Authors: David Borthwick
Series Title: Universitext
DOI: https://doi.org/10.1007/978-3-319-48936-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2016
Hardcover ISBN: 978-3-319-48934-6Published: 19 January 2017
Softcover ISBN: 978-3-319-84051-2Published: 13 July 2018
eBook ISBN: 978-3-319-48936-0Published: 12 January 2017
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 1
Number of Pages: XVI, 283
Number of Illustrations: 7 b/w illustrations, 61 illustrations in colour
Topics: Partial Differential Equations, Mathematical Applications in the Physical Sciences