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Chaos and Nonlinear Dynamics
This book introduces readers to the full range of current and background activity in the rapidly growing field of nonlinear dynamics. It uses a step-by-step introduction to dynamics and geometry in state space to help in understanding nonlinear dynamics and includes a thorough treatment of both differential equation models and iterated map models as well as a derivation of the famous Feigenbaum numbers. It is the only introductory book available that includes the important field of pattern formation and a survey of the controversial questions of quantum chaos. This second edition has been restructured for easier use and the extensive annotated references are updated through January 2000 and include many web sites for a number of the major nonlinear dynamics research centers. With over 200 figures and diagrams, analytic and computer exercises this book is a necessity for both the classroom and the lab.
Continua
This volume contains the proceedings of the special session on Modern Methods in Continuum Theory presented at the 100th Annual Joint Mathematics Meetings held in Cincinnati, Ohio. It also features the Houston Problem Book which includes a recently updated set of 200 problems accumulated over several years at the University of Houston.;These proceedings and problems are aimed at pure and applied mathematicians, topologists, geometers, physicists and graduate-level students in these disciplines.
Proofs and Fundamentals
The aim of this book is to help students write mathematics better. Throughout it are large exercise sets well-integrated with the text and varying appropriately from easy to hard. Basic issues are treated, and attention is given to small issues like not placing a mathematical symbol directly after a punctuation mark. And it provides many examples of what students should think and what they should write and how these two are often not the same.
Recent Progress in Controlling Chaos
This book provides a collection of research papers on one of the topics where the applications of chaos have been more fruitful: controlling chaos. Here, new theoretical ideas, as experimental implementations of controlling chaos, are included, while the applications contained in this volume can be referred to turbulent magnetized plasmas, chaotic neural networks, modeling city traffic and models of interest in celestial mechanics. Recent Progress in Controlling Chaos will provide an overview of the recent progress in this field, which will be very useful for students and researchers. The authors of these research works are prominent in their areas of specialization, and they offer an excellent state-of-the-art of this field and its most recent developments and progress.
Creation and Double Chaos
Scientist and theologian Sjoerd Bonting offers a new overarching framework for thinking about issues in religion and science. He looks at the creation controversy itself, including biblical perspectives, tradtional doctrines, and the particular potential contribution of chaos theory. Finally, Bonting extends this perspective, a combination of chaos theory and chaos theology he calls "double-chaos," into a framework that addresses traditional questions about evil, divine agency, soteriology, the understanding of disease, possible extraterrestrial life, and the future.
Continuum Theory & Dynamical Systems
Based on the conference/workshop on Continuum Theory and Dynamical Systems held in Lafayette, Louisiana, this reference illustrates the current expansion of knowledge on the relationship between these subjects. It presents new problems in hyperspaces, induced maps, universal maps, fixed-point sets, disconnected numbers and quotient maps.;Explaining the definitions and techniques used in the two fields and providing results from both areas, this volume: examines prime end (accessible) rotation numbers for chaotic sets and Henon maps; discussed the connection between the rotation shadowing property and the structure of the rotation set for annulus homeomorphisms; offers a Nielson-type theorum ...
The Cognitive Science of Religion
The cognitive science of religion is a relatively new academic field in the study of the origins and causes of religious belief and behaviour. The focal point of empirical research is the role of basic human cognitive functions in the formation and transmission of religious beliefs. However, many theologians and religious scholars are concerned that this perspective will reduce and replace explanations based in religious traditions, beliefs, and values. This book attempts to bridge the reductionist divide between science and religion through examination and critique of different aspects of the cognitive science of religion and offers a conciliatory approach that investigates the multiple causal factors involved in the emergence of religion.
Lectures on Fractal Geometry and Dynamical Systems
Both fractal geometry and dynamical systems have a long history of development and have provided fertile ground for many great mathematicians and much deep and important mathematics. These two areas interact with each other and with the theory of chaos in a fundamental way: many dynamical systems (even some very simple ones) produce fractal sets, which are in turn a source of irregular 'chaotic' motions in the system. This book is an introduction to these two fields, with an emphasis on the relationship between them. The first half of the book introduces some of the key ideas in fractal geometry and dimension theory - Cantor sets, Hausdorff dimension, box dimension - using dynamical notions ...
Globalisation and Governance
As countries come to terms with the global financial crisis their citizens become more assertive in many parts of the world. Challenges to conventional wisdom on economic governance are accompanied by the popular rejection of archaic systems of state government. At the global level new economic and political forces challenge former patterns of international domination.In these contexts appropriate governance is the imperative of the age. Economic globalisation in particular requires reassessments of state and corporate governance, as well as reconsideration of how the international political economy is governed - or not governed.This book examines these themes from different disciplinary perspectives, in different national and institutional settings, and in terms of high theory and practical service delivery. It is topical and insightful and provokes thought on the governance challenges ahead.
Fixed Point Theory
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