Undergraduate Texts in Mathematics

Applied Partial Differential Equations

Authors: Logan, J David

  • concise treatment of the main topics studied in a standard introductory course on partial differential equations
  • includes an expanded treatment of numerical computation with MATLAB replacement for all numerical calculations
  • increased number of worked out examples give student more concrete techniques to attack exercises
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eBook $44.99
price for USA (gross)
  • ISBN 978-3-319-12493-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.99
price for USA
  • ISBN 978-3-319-12492-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.99
price for USA
  • ISBN 978-3-319-30769-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This textbook is for the standard, one-semester, junior-senior course that often goes by the title "Elementary Partial Differential Equations" or "Boundary Value Problems". The audience consists of students in mathematics, engineering, and the sciences. The topics include derivations of some of the standard models of mathematical physics and methods for solving those equations on unbounded and bounded domains, and applications of PDE's to biology. The text differs from other texts in its brevity; yet it provides coverage of the main topics usually studied in the standard course, as well as an introduction to using computer algebra packages to solve and understand partial differential equations.

For the 3rd edition the section on numerical methods has been considerably expanded to reflect their central role in PDE's. A treatment of the finite element method has been included and the code for numerical calculations is now written for MATLAB. Nonetheless the brevity of the text has been maintained. To further aid the reader in mastering the material and using the book, the clarity of the exercises has been improved, more routine exercises have been included, and the entire text has been visually reformatted to improve readability.

About the authors

J. David Logan is Willa Cather Professor of Mathematics at the University of Nebraska Lincoln. He received his PhD from The Ohio State University and has served on the faculties at the University of Arizona, Kansas State University, and Rensselaer Polytechnic Institute. For many years he served as a visiting scientist at Los Alamos and Lawrence Livermore National Laboratories. He has published widely in differential equations, mathematical physics, fluid and gas dynamics, hydrogeology, and mathematical biology. Dr. Logan has authored 7 books, among them A First Course in Differential Equations, 2nd ed., published by Springer.

Reviews

“The aim of this book is to provide the reader with basic ideas encountered in partial differential equations. … The mathematical content is highly motivated by physical problems and the emphasis is on motivation, methods, concepts and interpretation rather than formal theory. The textbook is a valuable material for undergraduate science and engineering students.” (Marius Ghergu, zbMATH 1310.35001, 2015)


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Table of contents (6 chapters)

  • The Physical Origins of Partial Differential Equations

    Logan, J. David

    Pages 1-77

  • Partial Differential Equations on Unbounded Domains

    Logan, J. David

    Pages 79-125

  • Orthogonal Expansions

    Logan, J. David

    Pages 127-154

  • Partial Differential Equations on Bounded Domains

    Logan, J. David

    Pages 155-227

  • Applications in the Life Sciences

    Logan, J. David

    Pages 229-255

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-319-12493-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.99
price for USA
  • ISBN 978-3-319-12492-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.99
price for USA
  • ISBN 978-3-319-30769-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Applied Partial Differential Equations
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
Distribution Rights
Distribution rights for India: Researchco Book Centre, New Delhi, India
eBook ISBN
978-3-319-12493-3
DOI
10.1007/978-3-319-12493-3
Hardcover ISBN
978-3-319-12492-6
Softcover ISBN
978-3-319-30769-5
Series ISSN
0172-6056
Edition Number
3
Number of Pages
XI, 289
Number of Illustrations and Tables
45 b/w illustrations, 6 illustrations in colour
Topics