Mathematical Structures of Nonlinear Science : An Introduction

Melvyn S. Berger

ISBN 10: 9401067481 / ISBN 13: 9789401067485

Edité par Springer Netherlands, 2012

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - This is the first volume of a series of books that will describe current advances and past accompli shments of mathemat i ca 1 aspects of nonlinear sCience taken in the broadest contexts. This subject has been studied for hundreds of years, yet it is the topic in whi ch a number of outstandi ng di scoveri es have been made in the past two decades. Clearly, this trend will continue. In fact, we believe some of the great scientific problems in this area will be clarified and perhaps resolved. One of the reasons for this development is the emerging new mathematical ideas of nonlinear science. It is clear that by looking at the mathematical structures themselves that underlie experiment and observation that new vistas of conceptual thinking lie at the foundation of the unexplored area in this field. To speak of specific examples, one notes that the whole area of bifurcation was rarely talked about in the early parts of this century, even though it was discussed mathematically by Poi ncare at the end of the ni neteenth century. I n another di rect ion, turbulence has been a key observation in fluid dynamics, yet it was only recently, in the past decade, that simple computer studies brought to light simple dynamical models in which chaotic dynamics, hopefully closely related to turbulence, can be observed.

N° de réf. du vendeur 9789401067485

Détails bibliographiques

• Titre: Mathematical Structures of Nonlinear Science : An Introduction
• Éditeur: Springer Netherlands
• Date de parution: 2012
• Langue: anglais
• ISBN à 10 chiffres: 9401067481
• ISBN à 13 chiffres: 9789401067485
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 235 L x 155 H x 24 P (en millimètres) 235 millimètres de largeur par 155 millimètres de hauteur par 24 millimètres de profondeur
• Poids: 657 grammes

A propos de ce titre

Synopsis

This is the first volume of a series of books that will describe current advances and past accompli shments of mathemat i ca 1 aspects of nonlinear sCience taken in the broadest contexts. This subject has been studied for hundreds of years, yet it is the topic in whi ch a number of outstandi ng di scoveri es have been made in the past two decades. Clearly, this trend will continue. In fact, we believe some of the great scientific problems in this area will be clarified and perhaps resolved. One of the reasons for this development is the emerging new mathematical ideas of nonlinear science. It is clear that by looking at the mathematical structures themselves that underlie experiment and observation that new vistas of conceptual thinking lie at the foundation of the unexplored area in this field. To speak of specific examples, one notes that the whole area of bifurcation was rarely talked about in the early parts of this century, even though it was discussed mathematically by Poi ncare at the end of the ni neteenth century. I n another di rect ion, turbulence has been a key observation in fluid dynamics, yet it was only recently, in the past decade, that simple computer studies brought to light simple dynamical models in which chaotic dynamics, hopefully closely related to turbulence, can be observed.