Nonlinear partial differential equations for scientists and engineers
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,...
Enregistré dans:
| Hovedforfatter: | |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Boston :
Birkhäuser Boston
2012.
Cham : Springer Nature |
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Numérisation de la 3ème édition Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Nonlinear partial differential equations for scientists and engineers, Lokenath Debnath, 3rd edition, New York, Birkhäuser, 2012, 1 vol. (XXIII-860 p.), 978-0-8176-8264-4 |
| LEADER | 05419nam a22003257a 4500 | ||
|---|---|---|---|
| 001 | 957805 | ||
| 008 | 130221q2000 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN167599283 | ||
| 020 | |a 9780817682651 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.353 | ||
| 100 | 1 | |a Debnath, Lokenath, |d 1935- | |
| 245 | 1 | 0 | |a Nonlinear partial differential equations for scientists and engineers |c Lokenath Debnath. |
| 260 | |a Boston : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c 2012. | ||
| 500 | |a Numérisation de la 3ème édition | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | |a Équations différentielles non linéaires | ||
| 776 | 0 | |0 15891984X |t Nonlinear partial differential equations for scientists and engineers |f Lokenath Debnath |e 3rd edition |c New York |n Birkhäuser |d 2012 |p 1 vol. (XXIII-860 p.) |z 978-0-8176-8264-4 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-0-8176-8265-1 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-1Z2KLQL9-3 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:749614374 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/978-0-8176-8265-1 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:752362526 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/978-0-8176-8265-1 |z Accès INSA CVL | |
| 997 | |0 957805 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||