Nonlinear Science : Emergence And Dynamics Of Coherent Structures - Couverture rigide

Scott, Alwyn

Couverture rigide

ISBN 10 : 0198501072 ISBN 13 : 9780198501077

Editeur : Oxford University Press, 1999

Synopsis

The study of nonlinear systems has quietly revolutionized the realm of science. Models of physical phenomena had previously been assumed to be linear, or nearly so. This allowed the construction of equations which were relatively simple to solve. It has, however, become increasingly evident that this assumption of linearity leads the theorist to miss qualitatively significant phenomena. For nonlinear systems, it is now known, the whole is greater than the sum of its parts, leading to the emergence of new structures that have their own features, lifetimes and peculiar ways of interacting. Since these interactions are also nonlinear, new dynamics give rise to other emergent structures appearing at yet higher levels of description. Thus the molecules of chemistry emerge from nonlinear interactions between the elements of atomic physics, providing a structural basis for the proteins and ribonucleic acids of biochemistry, and so on, up through the many levels of activity in a living organism. The intricacy of this hierarchical perspective is much closer to reality, and its discovery is a watershed in the history of science. This book is intended for graduate students and researchers in physics, applied mathematics, biomathematics, biophysics and engineering. Unknown function:

A propos du livre

Présentation de l'éditeur

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

Revue de presse

Review from previous edition 'The presentation in the book is based on concrete equations and the formulas are often derived from physical intuition'EMS

'..presents a suggestive panoramic view of the history and experimental motivation of nonlinear phenomena. The problems at the end of each chapter are a good training to get a better understanding of the topics and suggest new directions of research.....I recommend this book as a reference-text for undergraduate students of last year as well as a basic book for an interdisciplinary P.H.D.course in natural sciences and engineering. The book is a basic one for all the bridge studies with biology as the biophysics and biocomputing, and,in particular, for the emerging area of astrobiology.' MATH

Détails de l'édition

• Éditeur: Oxford University Press
• Date d'édition: 1999
• Langue: anglais
• ISBN 10: 0198501072
• ISBN 13: 9780198501077
• Reliure: Relié
• Nombre de pages: 492
• Coordonnées du fabricant: non disponible
• Personne responsable: Ufficio Anagrafiche Messaggerie; ufficio.anagrafiche@meli.it; ; Via Verdi, 8; Assago Milano; 20090; Italie