Vries, J. de (Jan)

Topological Dynamical Systems an Introduction to the Dynamics of Continuous Mappings by J. de Vries ( )
7 editions published between 2013 and 2014 in English and held by 278 WorldCat member libraries worldwide
This book is an introduction into the theory of discrete dynamical systems with emphasis on the topological background. It is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and a course in General Topology are sufficient. Students who have mastered this book will have a firm basis to start research on related topics. The theory is about the behaviour of points of a Hausdorff space under the iteration of a continuous self-map. The assumption that the space is metrizable is avoided as much as possible, but where the non-metric version of the theory would become unwieldy we do not hesitate to assume metrizability. A similar remark applies to the assumption of compactness of the space. Much attention is given to dynamical systems on intervals on the real line. A wide range of topics, such as asymptotic stability, shift systems, (chain-)recurrence, topological entropy and chaos, is discussed. Every chapter concludes with a set of exercises and a section of notes, with references to the literature

Elements of topological dynamics by J. de Vries ( Book )
7 editions published between 1993 and 2011 in English and held by 166 WorldCat member libraries worldwide
This major volume presents a comprehensive introduction to the study of topological transformation groups with respect to topological problems which can be traced back to the qualitative theory of differential equations, and provides a systematic exposition of the fundamental methods and techniques of abstract topological dynamics. The contents can be divided into two parts. The first part is devoted to a broad overview of the topological aspects of the theory of dynamical systems (including shift systems and geodesic and horocycle flows). Part Two is more specialized and presents in a systematic way the fundamental techniques and methods for the study of compact minima flows and their morphisms. It brings together many results which are scattered throughout the literature, and, in addition, many examples are worked out in detail. The primary purpose of this book is to bridge the gap between the `beginner' and the specialist in the field of topological dynamics. All proofs are therefore given in detail. The book will, however, also be useful to the specialist and each chapter concludes with additional results (without proofs) and references to sources and related material. The prerequisites for studying the book are a background in general toplogy and (classical and functional) analysis. For graduates and researchers wishing to have a good, comprehensive introduction to topological dynamics, it will also be of great interest to specialists. This volume is recommended as a supplementary text

Topological transformation groups : a categorical approach by J. de Vries ( Book )
10 editions published in 1975 in English and Undetermined and held by 138 WorldCat member libraries worldwide

Colloquium topologische dynamische systemen by J. M Aarts ( Book )
2 editions published in 1977 in Dutch and held by 14 WorldCat member libraries worldwide

Reflections on topological transformation groups by J. de Vries ( Book )
1 edition published in 1974 in English and held by 10 WorldCat member libraries worldwide

The first modern economy : success, failure, and perseverance of the Dutch economy, 1500-1815 by Jan De Vries ( Book )
1 edition published in 1996 in English and held by 8 WorldCat member libraries worldwide
Special emphasis is placed on the environmental context of economic growth and later decline, as well as on demographic developments. The authors also argue that the Dutch model of development and stagnation is applicable to currently maturing economies

Kleine Schriften by Jan de Vries ( )
1 edition published in 1965 in German and held by 7 WorldCat member libraries worldwide

Compactification of G-spaces revisited by J De Vries ( Book )
1 edition published in 2000 in English and held by 3 WorldCat member libraries worldwide

En profil 1997 : veiligheidsprofiel provincie Friesland, uitgesplitst naar 31 gemeenten ( Book )
1 edition published in 1997 in Dutch and held by 3 WorldCat member libraries worldwide

Invariant measures and the equicontinuous structure relation II : the relative case by J. de Vries ( Book )
2 editions published in 1984 in English and held by 2 WorldCat member libraries worldwide