Overview
- The text differs from other texts in that it is a brief treatment
- 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
Part of the book series: Undergraduate Texts in Mathematics (UTM)
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Table of contents (5 chapters)
Keywords
About this book
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 physical 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. The text differs from other texts in that it is a brief treatment; 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.
To give this text an even wider appeal, the 2nd edition has been updated with a new chapter on partial differential equation models in biology, and with various examples from the life sciences throughout the text. There are more exercises, as well as solutions and hints to some of the problems at the end of the book.
Reviews
From the reviews of the second edition:
"This second edition of the short undergraduate text provides a fist course in PDE aimed at students in mathematics, engineering and the sciences. The material is standard … . Strong emphasis is put on modeling and applications throughout; the main text is supplied with many examples and exercises." (R. Steinbauer, Monatshefte für Mathematik, Vol. 150 (4), 2007)
"This book contains an elementary introduction of partial differential equations to undergraduate students in mathematics, engineering, and physical sciences. … This is a unique book in the sense that it provides a coverage of the main topics of the subject in a concise style which is accessible to science and engineering students. … Reading this book and solving the problems, the students will have a solid base for a course in partial differential equations … ." (Tibor Krisztin, Acta Scientiarum Mathematicarum, Vol. 74, 2008)
Authors and Affiliations
Bibliographic Information
Book Title: Applied Partial Differential Equations
Authors: J. David Logan
Series Title: Undergraduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-1-4419-8879-9
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2004
Series ISSN: 0172-6056
Series E-ISSN: 2197-5604
Edition Number: 2
Number of Pages: XII, 212
Topics: Partial Differential Equations, Mathematical Methods in Physics, Community & Population Ecology