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Nonlinear Partial Differential Equat 2ND Edition

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Nonlinear Partial Differential Equat 2ND Edition Cover

 

Synopses & Reviews

Publisher Comments:

"An exceptionally complete overview. 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. This reviewer feels that it is a very hard act to follow, and recommends it strongly. [This book] is a jewel." ---Applied Mechanics Review (Review of First Edition)  This expanded and revised second edition is a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied applications. Building upon the successful material of the first book, this edition contains updated modern examples and applications from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation. Methods and properties of solutions are presented, along with their physical significance, making the book more useful for a diverse readership. Nonlinear Partial Differential Equations for Scientists and Engineers, Second Edition is an exceptionally complete and accessible text/reference for graduate students, researchers, and professionals in mathematics, physics, and engineering. It may be used in graduate-level courses, as a self-study resource, or as a research reference.

Synopsis:

This expanded, revised edition is a thorough and systematic treatment of linear and nonlinear partial differential equations and their varied applications. It contains updated modern examples and applications from diverse fields. Methods and properties of solutions, along with their physical significance, make the book useful for a diverse readership including graduates, researchers, and professionals in mathematics, physics and engineering.

Table of Contents

Preface to the Second Edition Preface to the First Edition 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

Product Details

ISBN:
9780817643232
Author:
Debnath, Lokenath
Publisher:
Birkhauser Boston
Author:
Debnath, L.
Subject:
Differential Equations
Subject:
Applied
Subject:
Mathematical Physics
Subject:
Differential Equations - Partial Differential Equations
Subject:
Engineers
Subject:
Differential equations, nonlinear
Subject:
Nonlinear Dynamics.
Subject:
Scientist
Subject:
Applied mathematics
Subject:
PARTIAL DIFFERENTIAL EQUATIONS
Subject:
APPLICATIONS OF MATHEMATICS
Subject:
Theoretical, Mathematical and Computational Physics
Subject:
mathematical methods in physics
Subject:
Classical Continuum Physics
Subject:
Appl.Mathematics/Computational Methods of Engineering
Subject:
General-General
Edition Number:
2
Edition Description:
2nd ed.
Publication Date:
20041231
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
759
Dimensions:
235 x 155 mm 2720 gr

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Related Subjects

Science and Mathematics » Mathematics » General

Nonlinear Partial Differential Equat 2ND Edition New Hardcover
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Product details 759 pages Birkhauser Boston - English 9780817643232 Reviews:
"Synopsis" by , This expanded, revised edition is a thorough and systematic treatment of linear and nonlinear partial differential equations and their varied applications. It contains updated modern examples and applications from diverse fields. Methods and properties of solutions, along with their physical significance, make the book useful for a diverse readership including graduates, researchers, and professionals in mathematics, physics and engineering.
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