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Auteur : Anatole Katok,Boris Hasselblatt
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This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. Over 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate up.

Télécharger Introduction to the Modern Theory of Dynamical Systems (Encyclopedia of Mathematics and its Applications Book 54) (English Edition) de Anatole Katok,Boris Hasselblatt Francais PDF


(PDF) Introduction to the Modern Theory of Dynamical Systems ~ PDF / On Jan 1, 1998, J.A. Zukas published Introduction to the Modern Theory of Dynamical Systems / Find, read and cite all the research you need on ResearchGate

ENCYCLOPEDIA OF MATHEMATICS AND ITS APPLICATIONS ~ ENCYCLOPEDIA OF MATHEMATICS AND ITS APPLICATIONS Introduction to the Modern Theory of Dynamical Systems ANATOLE KATOK Pennsylvania State University BORIS HASSELBLATT Tufts University With a supplement by Anatole Katok and Leonardo Mendoza CAMBRIDGE UNIVERSITY PRESS . Contents PREFACE xiii 0. INTRODUCTION 1 1. Principal branches of dynamics 1 2. Flows, vector fields, differential equations 6 3 .

ENCYCLOPEDIA OF MATHEMATICS AND ITS APPLICATIONS ~ ENCYCLOPEDIA OF MATHEMATICS AND ITS APPLICATIONS Introduction to the Modern Theory ofDynamical Systems ANATOLE KATOK Pennsylvania State University BORIS HASSELBLATT Tufts University With a Supplement by Anatole Katok and Leonardo Mendoza / CAMBRIDGE UNIVERSITY PRESS . Contents PREFACE xiii 0. INTRODUCTION 1 1. Principal branches of dynamics 1 2. Flows, vector fields, differential equations 6 3 .

INTRODUCTION TO THE MODERN THEORY OF DYNAMICAL SYSTEMS ~ By Anatole Katok and Boris Hasselblatt: 802 pp., £60.00, isbn 0 521 34187 6 (Cambridge University Press, 1995).

INTRODUCTION TO THE MODERN THEORY OF DYNAMICAL SYSTEMS ~ INTRODUCTION TO THE MODERN THEORY OF DYNAMICAL SYSTEMS (Encyclopaedia of Mathematics and its Applications 54) By Anatole Katok and Boris Hasselblatt: 802 pp., £60.00, ISBN 0 521 34187 6 (Cambridge University Press, 1995). - Volume 29 Issue 1 - R. S. MacKay

Introduction to the Modern Theory of Dynamical Systems ~ This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms.

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Introduction to the Modern Theory of Dynamical Systems (豆瓣) ~ This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discus.

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Introduction to the modern theory of dynamical systems ~ Introduction to the modern theory of dynamical systems The theory of dynamical systems is a major mathematical discipline closely intertwined with most of the main areas of mathematics. Its mathematical core is the study of the global orbit structure of maps and flows with emphasis on properties invariant under coordinate changes. Its concepts, methods, and paradigms greatly stimulate research .

Introduction to the modern theory of dynamical systems ~ Encyclopedia of mathematics and its applications, v. 54. Responsibility: Anatole Katok, Boris Hasselblatt ; with a supplement by Anatole Katok and Leonardo Mendoza. More information: Table of contents; Publisher description; Abstract: Provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with all main .

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