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003 - CONTROL NUMBER IDENTIFIER |
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005 - DATE AND TIME OF LATEST TRANSACTION |
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20140310151442.0 |
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111006s2012 xxu| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780817682651 |
|
978-0-8176-8265-1 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA370-380 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515.353 |
Edition number |
23 |
264 #1 - |
-- |
Boston : |
-- |
Birkhäuser Boston, |
-- |
2012. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Debnath, Lokenath. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Nonlinear Partial Differential Equations for Scientists and Engineers |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
by Lokenath Debnath. |
250 ## - EDITION STATEMENT |
Edition statement |
Third Edition. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XXIII, 860p. 104 illus. |
Other physical details |
online resource. |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
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. |
520 ## - SUMMARY, ETC. |
Summary, etc |
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) 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 various current applications. In an effort to make the book more useful for a diverse readership, updated modern examples of applications have been chosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation. The book gives thorough coverage of the derivation and solution methods for all fundamental nonlinear model equations, such as Korteweg–de Vries, Camassa–Holm, Degasperis–Procesi, Euler–Poincaré, Toda lattice, Boussinesq, Burgers, Fisher, Whitham, nonlinear Klein–Gordon, sine-Gordon, nonlinear Schrödinger, nonlinear reaction-diffusion, and Euler–Lagrange equations. Other topics and key features include: * Improved presentations of results, solution methods, and proofs. * Solitons, gravity-capillary solitary waves, and the Inverse Scattering Transform. * Special emphasis on compactons, intrinsic localized modes, and nonlinear instability of dispersive waves with applications to water waves and wave breaking phenomena. * New section on the Lorenz nonlinear system, the Lorenz attractor, and deterministic chaos, and new examples of nonlinear quasi-harmonic waves, modulational instability, nonlinear lattices, and the Toda lattice equation. * Over 1000 worked-out examples and end-of-chapter exercises with expanded hints and answers to selected exercises. * Two new appendices on some special functions and their basic properties, Fourier series, generalized functions, and Fourier and Laplace transforms, with algebraic and analytical properties of convolutions and applications. * Many aspects of modern theory that will put the reader at the forefront of current research. * Completely updated list of references and enlarged index. Nonlinear Partial Differential Equations for Scientists and Engineers, Third Edition, improves on an already complete and accessible resource for senior undergraduate and graduate students and professionals in mathematics, physics, science, and engineering. It may be used to great effect as a course textbook, a research reference, or a self-study guide. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Differential equations, partial. |
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Topical term or geographic name as entry element |
Mathematical physics. |
|
Topical term or geographic name as entry element |
Engineering mathematics. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Partial Differential Equations. |
|
Topical term or geographic name as entry element |
Applications of Mathematics. |
|
Topical term or geographic name as entry element |
Theoretical, Mathematical and Computational Physics. |
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Topical term or geographic name as entry element |
Mathematical Methods in Physics. |
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Topical term or geographic name as entry element |
Classical Continuum Physics. |
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Topical term or geographic name as entry element |
Appl.Mathematics/Computational Methods of Engineering. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9780817682644 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-0-8176-8265-1 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |