Nonlinear Science
Emergence and Dynamics of Coherent Structures
Series: Oxford Texts in Applied and Engineering Mathematics; 8;
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Product details:
- Edition number 2
- Publisher OUP Oxford
- Date of Publication 25 September 2003
- ISBN 9780198528524
- Binding Hardback
- No. of pages496 pages
- Size 242x161x30 mm
- Weight 884 g
- Language English
- Illustrations numerous figures 0
Categories
Short description:
This second edition of Nonlinear Science covers new theoretical concepts and empirical results in molecular dynamics, solid-state physics, neuroscience, fluid dynamics, and biophysics. With over 350 problems, including hints and solutions, this is an invaluable resource for graduate students and researchers in the applied sciences.
MoreLong description:
Much mathematical modelling has involved the assumption that physical systems are approximately linear, leading to the construction of equations which, although relatively easy to solve, are unrealistic and overlook significant phenomena. Models assuming nonlinear systems, however, lead to the emergence of new structures that reflect reality much more closely.
This second edition of Nonlinear Science, covers several important areas of nonlinear science, and places a strong emphasis on applications to realistic problems. It includes numerous new topics such as empirical results in molecular dynamics, solid-state physics, neuroscience, fluid dynamics, and biophysics; numerous new exercises and solutions; updated sections on nerve impulse dynamics, quantum-theory of pump-probe measures, and local modes on lattices. With over 350 problems, including hints and solutions, this is an invaluable resource for graduate students and researchers in the applied sciences, mathematics, biology, physics and engineering.
This is the latest title in the Oxford Texts in Applied and Engineering Mathematics, which includes a range of texts from the undergraduate through to the graduate level. Most titles should be based on taught courses which explain the mathematical or computational techniques required for the resolution of fundamental applied problems. Other books in the series include: D. W. Jordan and P. Smith: Nonlinear ordinary differential equations: an introduction to dynamical systems 3rd Edition; I. J. Sobey: Introduction to interactive boundary layer theory; A. B. Tayler: Mathematical Models in Applied Mechanics (reissue); Ramdas Ram-Mohan: Finite Element and Boundary Element Applications in Quantum Mechanics; Lapeyre et al: Introduction to Monte-Carlo Methods for Transport and Diffusion Equations; Isaac Elishakoff & Yong Jin Ren: Finite Element Methods for Structures with Large Stochastic Variations
Review from previous edition 'The presentation in the book is based on concrete equations and the formulas are often derived from physical intuition'EMS
Table of Contents:
The Birth of a Paradigm
Linear Wave Theory
The Classical Soliton Equations
Reaction-Diffusion Systems
Nonlinear Lattices
Inverse Scattering Methods
Peturbation Theory
Quantum Lattice Solitons
Looking Ahead
Bibliography
Index
