Overview

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.

Full Product Details

Author:   Lokenath Debnath
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   3rd ed. 2012
Dimensions:   Width: 15.50cm , Height: 4.60cm , Length: 23.50cm
Weight:   1.484kg
ISBN:  

9780817682644

ISBN 10:   0817682643
Pages:   860
Publication Date:   06 October 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of Contents

Preface to the Third Edition.- Preface.- Linear Partial Differential Equations.- Nonlinear Model Equations and Variational Principles.- First-Order, Quasi-Linear Equations and Method of Characteristics.- First-Order Nonlinear Equations and Their Applications.- Conservation Laws and Shock Waves.- Kinematic Waves and Real-World Nonlinear Problems.- Nonlinear Dispersive Waves and Whitham's Equations.- Nonlinear Diffusion-Reaction Phenomena.- Solitons and the Inverse Scattering Transform.- The Nonlinear Schroedinger Equation and Solitary Waves.- Nonlinear Klein--Gordon and Sine-Gordon Equations.- Asymptotic Methods and Nonlinear Evolution Equations.- Tables of Integral Transforms.- Answers and Hints to Selected Exercises.- Bibliography.- Index.

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) 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)

Author Information

"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."

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