Nonlinear Partial Differential Equations for Scientists and Engineers

Authors: Debnath, Lokenath

  • 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
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eBook $74.99
price for USA (gross)
  • ISBN 978-0-8176-8265-1
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  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-0-8176-8264-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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  • Rental duration: 1 or 6 month
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About this Textbook

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.

About the authors

Lokenath Debnath is author or co-author of seven graduate-level books and research monographs, including "Introduction to Hilbert Spaces with Applications," "Nonlinear Water Waves," and "Continuum Mechanics" published by Academic Press; "Nonlinear Partial Differential Equations for Scientists and Engineers" and "Wavelets Transforms and Their Applications," published by Birkhauser Boston; "Partial Differential Equations for Scientists and Engineers" published by Prentice Hall; and "Integral Transforms and Their Applications" by CRC Press/Chapman and Hall. He has also edited seven research monographs including "Nonlinear Waves" published by Cambridge University Press and "Wavelet Transforms and Time-Frequency Signal Analysis" published by Birkhauser Boston. He is an author and co-author of over 300 research papers in pure and applied mathematics, encompassing applied partial differential equations, integral transforms and special functions, inequalities, solid and fluid mechanics, linear and nonlinear waves, solitons, magnetohydrodynamics, unsteady boundary layers, dynamics of oceans, wavelet transforms, signal processing, and stability theory.

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)


Table of contents (13 chapters)

  • Linear Partial Differential Equations

    Debnath, Lokenath

    Pages 1-147

  • Nonlinear Model Equations and Variational Principles

    Debnath, Lokenath

    Pages 149-199

  • First-Order, Quasi-linear Equations and Method of Characteristics

    Debnath, Lokenath

    Pages 201-226

  • First-Order Nonlinear Equations and Their Applications

    Debnath, Lokenath

    Pages 227-256

  • Conservation Laws and Shock Waves

    Debnath, Lokenath

    Pages 257-281

Buy this book

eBook $74.99
price for USA (gross)
  • ISBN 978-0-8176-8265-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-0-8176-8264-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Nonlinear Partial Differential Equations for Scientists and Engineers
Authors
Copyright
2012
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-0-8176-8265-1
DOI
10.1007/978-0-8176-8265-1
Hardcover ISBN
978-0-8176-8264-4
Edition Number
3
Number of Pages
XXIII, 860
Number of Illustrations and Tables
104 b/w illustrations
Topics