Debnath | Nonlinear Partial Differential Equations for Scientists and Engineers | Buch | 978-0-8176-4323-2 | sack.de

Buch, Englisch, 737 Seiten, GB, Format (B × H): 155 mm x 235 mm, Gewicht: 2720 g

Debnath

Nonlinear Partial Differential Equations for Scientists and Engineers


2. nd Auflage 2005
ISBN: 978-0-8176-4323-2
Verlag: Birkhäuser Boston

Buch, Englisch, 737 Seiten, GB, Format (B × H): 155 mm x 235 mm, Gewicht: 2720 g

ISBN: 978-0-8176-4323-2
Verlag: Birkhäuser Boston

"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.

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Zielgruppe

Graduate

Autoren/Hrsg.

Debnath, Lokenath

Weitere Infos & Material

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

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