Overview
Extraordinary breadth of coverage
Highly systematic presentation
Hundreds of examples and exercises, with hints, selected solutions, and a complete solutions manual for instructors
Useful for students and researchers alike in not only mathematics, but also engineering, physics, and other natural sciences
Includes supplementary material: sn.pub/extras
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About this book
The revised and enlarged third edition of this successful book presents a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied and updated applications. In an effort to make the book more useful for a diverse readership, updated modern examples of applications are chosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation.
Nonlinear Partial Differential Equations for Scientists and Engineers, Third Edition, improves on an already highly complete and accessible resource for graduate students and professionals in mathematics, physics, science, and engineering. It may be used to great effect as a course textbook, research reference, or self-study guide.
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Keywords
Table of contents (13 chapters)
Reviews
From the reviews:
"An exceptionally complete overview of the latest developments in the field of PDEs. There are numerous examples and the emphasis is on applications to almost all areas of science and engineering. There is truly something for everyone here."—Applied Mechanics Review (Review of First Edition)
From the reviews of the third edition:
"Overall, it is a useful book for teaching, a rich source of examples, and I am happy to have it on a shelf of my library."—UK Nonlinear News (Review of Second Edition)
“This book provides an introduction to nonlinear partial differential equations that arise throughout in science and engineering and to the basic methods for finding the solutions for these equations. The book contains thirteen chapters and three appendixes. At the end of the first twelve chapters there are exercises that help to understand the subject matter. … This book is recommended for graduate students in science and engineering.” (Valery V. Karachik, Zentralblatt MATH, Vol. 1242, 2012)
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Nonlinear Partial Differential Equations for Scientists and Engineers
Authors: Lokenath Debnath
DOI: https://doi.org/10.1007/978-0-8176-8265-1
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2012
Hardcover ISBN: 978-0-8176-8264-4Published: 06 October 2011
eBook ISBN: 978-0-8176-8265-1Published: 06 October 2011
Edition Number: 3
Number of Pages: XXIII, 860
Number of Illustrations: 104 b/w illustrations
Topics: Partial Differential Equations, Applications of Mathematics, Theoretical, Mathematical and Computational Physics, Mathematical Methods in Physics, Classical and Continuum Physics, Mathematical and Computational Engineering