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Universitext

Introduction to Partial Differential Equations

Authors: Borthwick, David

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  • ​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​
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eBook 37,44 €
price for Spain (gross)
  • ISBN 978-3-319-48936-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 46,79 €
price for Spain (gross)
Softcover 46,79 €
price for Spain (gross)
About this Textbook

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. 

About the authors

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

Reviews

“The book under review is intended for an introductory course for students. The author gives a balanced presentation that includes modern methods, without requiring prerequisites beyond vector calculus and linear algebra. Concepts and definitions from analysis are introduced only as they are needed in the text.” (Dian K. Palagachev, zbMATH 1364.35001, 2017)


Table of contents (14 chapters)

Table of contents (14 chapters)

Buy this book

eBook 37,44 €
price for Spain (gross)
  • ISBN 978-3-319-48936-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 46,79 €
price for Spain (gross)
Softcover 46,79 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to Partial Differential Equations
Authors
Series Title
Universitext
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-48936-0
DOI
10.1007/978-3-319-48936-0
Hardcover ISBN
978-3-319-48934-6
Softcover ISBN
978-3-319-84051-2
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XVI, 283
Number of Illustrations
7 b/w illustrations, 61 illustrations in colour
Topics