Author : Jeffrey Johnson
Publisher : World Scientific
Page : 348 pages
File Size : 41,5 Mb
Release : 2013-11-29
Category : Science
ISBN : 9781783264438
Hypernetworks in the Science of Complex Systems by Jeffrey Johnson Pdf
The modern world is complex beyond human understanding and control. The science of complex systems aims to find new ways of thinking about the many interconnected networks of interaction that defy traditional approaches. Thus far, research into networks has largely been restricted to pairwise relationships represented by links between two nodes. This volume marks a major extension of networks to multidimensional hypernetworks for modeling multi-element relationships, such as companies making up the stock market, the neighborhoods forming a city, people making up committees, divisions making up companies, computers making up the internet, men and machines making up armies, or robots working as teams. This volume makes an important contribution to the science of complex systems by: (i) extending network theory to include dynamic relationships between many elements; (ii) providing a mathematical theory able to integrate multilevel dynamics in a coherent way; (iii) providing a new methodological approach to analyze complex systems; and (iv) illustrating the theory with practical examples in the design, management and control of complex systems taken from many areas of application. Contents:IntroductionSets and RelationsHypergraphs and the Galois LatticeSimplicial Complexes and Q-AnalysisBackcloth and Traffic: Dynamics Constrained by TopologyHypernetworksMultilevel SystemsTime, Events, Prediction and ForecastingHypernetworks and DesignPolicy, Design, Planning and ScienceNotes and Reflections Readership: Academics: researchers, scientists, social scientists, complex systems scientists, economists, biologists; Industry: managers, planners, consultants, knowledge professionals, systems engineers, automation specialists, supply chain managers; Public services: Council Officers, city planners, transport planners, health professionals, welfare professionals. Key Features:A first book of its kind on 'hypernetworks', a term the author has coined to describe the mathematical structures he has worked on over the last 30 yearsIntroduces hypernetworks in the context of examples drawn from a wide range of fields, including design, planning, management, art, neural network, machine vision, robotics, traffic, road accidents, amongst othersThe emphasis of this volume is on useful and added-value applications. It will develop the necessary mathematics and assuming no pre-requisitesContains a myriad of illustrations to further understand the topics discussedReviews: “The mathematics is explicitly explained and no difficult theorems are included in this book in order to enable scientists, designers and policy makers to work together.” Zentralblatt MATH