Chaos, Fractals and Noise: Stochastic Aspects of Dynamics - Couverture rigide

Lasota, Andrezj; Mackey, Michael C.

Couverture rigide

ISBN 10 : 3540940499 ISBN 13 : 9783540940494

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1993

Synopsis

This is a treatment of a variety of mathematical systems generating densities, ranging from one-dimensional discrete time transformations through continuous time systems described by integro-partial differential equations. Examples have been drawn from a variety of the sciences to illustrate the utility of the techniques presented. This material was organized and written to be accessible to scientists with knowledge of advanced calculus and differential equations. The past few years have witnessed an explosive growth in interest in physical, biological and economic systems that could be profitably studied using densities. Due to the general inaccessibility of the mathematical literature to the non-mathematician, there has been little diffusion of the concepts and techniques from ergodic theory into the study of these "chaotic" systems. This book intends to bridge that gap.

A propos du livre

Présentation de l'éditeur

This book gives a unified treatment of a variety of mathematical systems generating densities, ranging from one-dimensional discrete time transformations through continuous time systems described by integro-partial-differential equations. Examples have been drawn from a variety of the sciences to illustrate the utility of the techniques presented. This material was organized and written to be accessible to scientists with knowledge of advanced calculus and differential equations. In various concepts from measure theory, ergodic theory, the geometry of manifolds, partial differential equations, probability theory and Markov processes, and chastic integrals and differential equations are introduced. The past few years have witnessed an explosive growth in interest in physical, biological, and economic systems that could be profitably studied using densities. Due to the general inaccessibility of the mathematical literature to the non-mathematician, there has been little diffusion of the concepts and techniques from ergodic theory into the study of these "chaotic" systems. This book intends to bridge that gap.

Revue de presse

"This is a truly outstanding book. It is so well and carefully written that, despite the complexity of the subject matte and the difficulty of some of the mathematics, virtually everything is completely clear on a first reading. Indeed, the book is much more absorbing than most novels." --Probability in the Engineering + Informational Sciences

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 1993
• Langue: anglais
• ISBN 10: 3540940499
• ISBN 13: 9783540940494
• Reliure: Relié
• Numéro d'édition: 2
• Nombre de pages: 486
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible