The Resource Nonlinear partial differential equations for scientists and engineers, Lokenath Debnath
Nonlinear partial differential equations for scientists and engineers, Lokenath Debnath
Resource Information
The item Nonlinear partial differential equations for scientists and engineers, Lokenath Debnath represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Nonlinear partial differential equations for scientists and engineers, Lokenath Debnath represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 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 Kortewegde Vries, CamassaHolm, DegasperisProcesi, EulerPoincaré, Toda lattice, Boussinesq, Burgers, Fisher, Whitham, nonlinear KleinGordon, sineGordon, nonlinear Schrödinger, nonlinear reactiondiffusion, and EulerLagrange equations. Other topics and key features include:¡¡ * Improved presentations of results, solution methods, and proofs. * Solitons, gravitycapillary 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 quasiharmonic waves, modulational instability, nonlinear lattices, and the Toda lattice equation. * Over 1000 workedout examples and endofchapter 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 selfstudy guide
 Language
 eng
 Edition
 3rd ed.
 Extent
 1 online resource (xxiii, 860 pages)
 Contents

 Preface to the Third Edition
 Preface
 Linear Partial Differential Equations
 Nonlinear Model Equations and Variational Principles
 FirstOrder, QuasiLinear Equations and Method of Characteristics
 FirstOrder Nonlinear Equations and Their Applications
 Conservation Laws and Shock Waves
 Kinematic Waves and RealWorld Nonlinear Problems
 Nonlinear Dispersive Waves and Whitham's Equations
 Nonlinear DiffusionReaction Phenomena
 Solitons and the Inverse Scattering Transform
 The Nonlinear Schroedinger Equation and Solitary Waves
 Nonlinear Klein
 Gordon and SineGordon Equations
 Asymptotic Methods and Nonlinear Evolution Equations
 Tables of Integral Transforms
 Answers and Hints to Selected Exercises
 Bibliography
 Index
 Isbn
 9780817682644
 Label
 Nonlinear partial differential equations for scientists and engineers
 Title
 Nonlinear partial differential equations for scientists and engineers
 Statement of responsibility
 Lokenath Debnath
 Subject

 Applications of Mathematics
 Classical Continuum Physics
 Differential equations, Partial
 Differential equations, Partial
 Differential equations, Partial
 Differential equations, partial
 Appl. Mathematics/Computational Methods of Engineering
 Mathematical Methods in Physics
 Mathematical physics
 Mathematics
 Mathematics  methods
 Partial Differential Equations
 Theoretical, Mathematical and Computational Physics
 Engineering mathematics
 Language
 eng
 Summary
 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 Kortewegde Vries, CamassaHolm, DegasperisProcesi, EulerPoincaré, Toda lattice, Boussinesq, Burgers, Fisher, Whitham, nonlinear KleinGordon, sineGordon, nonlinear Schrödinger, nonlinear reactiondiffusion, and EulerLagrange equations. Other topics and key features include:¡¡ * Improved presentations of results, solution methods, and proofs. * Solitons, gravitycapillary 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 quasiharmonic waves, modulational instability, nonlinear lattices, and the Toda lattice equation. * Over 1000 workedout examples and endofchapter 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 selfstudy guide
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Debnath, Lokenath
 Dewey number
 515/.353
 Index
 index present
 Language note
 English
 LC call number
 QA377
 LC item number
 .D47 2012
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/subjectName

 Differential equations, Partial
 Mathematics
 Differential equations, Partial
 Label
 Nonlinear partial differential equations for scientists and engineers, Lokenath Debnath
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 813846) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Preface to the Third Edition  Preface  Linear Partial Differential Equations  Nonlinear Model Equations and Variational Principles  FirstOrder, QuasiLinear Equations and Method of Characteristics  FirstOrder Nonlinear Equations and Their Applications  Conservation Laws and Shock Waves  Kinematic Waves and RealWorld Nonlinear Problems  Nonlinear Dispersive Waves and Whitham's Equations  Nonlinear DiffusionReaction Phenomena  Solitons and the Inverse Scattering Transform  The Nonlinear Schroedinger Equation and Solitary Waves  Nonlinear Klein  Gordon and SineGordon Equations  Asymptotic Methods and Nonlinear Evolution Equations  Tables of Integral Transforms  Answers and Hints to Selected Exercises  Bibliography  Index
 Control code
 757938529
 Dimensions
 unknown
 Edition
 3rd ed.
 Extent
 1 online resource (xxiii, 860 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9780817682644
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number

 99947613359
 10.1007/9780817682651
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)757938529
 Label
 Nonlinear partial differential equations for scientists and engineers, Lokenath Debnath
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 813846) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Preface to the Third Edition  Preface  Linear Partial Differential Equations  Nonlinear Model Equations and Variational Principles  FirstOrder, QuasiLinear Equations and Method of Characteristics  FirstOrder Nonlinear Equations and Their Applications  Conservation Laws and Shock Waves  Kinematic Waves and RealWorld Nonlinear Problems  Nonlinear Dispersive Waves and Whitham's Equations  Nonlinear DiffusionReaction Phenomena  Solitons and the Inverse Scattering Transform  The Nonlinear Schroedinger Equation and Solitary Waves  Nonlinear Klein  Gordon and SineGordon Equations  Asymptotic Methods and Nonlinear Evolution Equations  Tables of Integral Transforms  Answers and Hints to Selected Exercises  Bibliography  Index
 Control code
 757938529
 Dimensions
 unknown
 Edition
 3rd ed.
 Extent
 1 online resource (xxiii, 860 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9780817682644
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number

 99947613359
 10.1007/9780817682651
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)757938529
Subject
 Applications of Mathematics
 Classical Continuum Physics
 Differential equations, Partial
 Differential equations, Partial
 Differential equations, Partial
 Differential equations, partial
 Appl. Mathematics/Computational Methods of Engineering
 Mathematical Methods in Physics
 Mathematical physics
 Mathematics
 Mathematics  methods
 Partial Differential Equations
 Theoretical, Mathematical and Computational Physics
 Engineering mathematics
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