Complexity Theory / Les Syst mes complexes: Math matiques et biologie
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Complexity theory seems likely to become the key discipline of the twenty-first century. Based on the postulate which says that everything is the sum of its parts, traditional science had proceeded by first reducing the complex to make it simple. But proponents of complexity theory argue that this postulate is not always verifiable and that material aggregates as well as animal and human societies cannot be understood simply by studying their parts. French society, for example, cannot be deduced from Mr Dupond's behaviour plus Mr Durand's behaviour, and so on.This book is an introduction to complexity theory. It includes definitions followed by specific examples and exercises (with solutions) to help readers familiarise themselves with the theory. The final chapters provide detailed explanations of two examples of applications of the theory: the modelisation of animal societies, specifically ants, and the neo-Darwinian theory of evolution.It is a pleasure to read this book by a scientist who knows how to make his subject accessible to the general reader. All explanations are illustrated with examples. Many of the notions described here are already being used to understand social phenomena, and to regulate them.Herv Zwirn, a telecommunications engineer, is the president of Eurobios and an associate research fellow at the Centre National de la Recherche Scientifique (CNRS). A graduate of the Ecole Polytechnique, he holds a doctorate in particle physics and contributes a regular column to the magazine La Recherche. He previously published Les Limites de la connaissance (2000). / ?Comment les oiseaux coordonnent-ils leurs vols au long cours ? Comment nos milliards de neurones se connectent-ils pour fabriquer notre personnalit Pourquoi des esp ces animales restent-elles stables pendant des mill naires, avant de se transformer en un instant ? Pourquoi l'Union sovi tique a-t-elle pu s'effondrer en quelques mois, apr s avoir domin l'Europe, pendant plus d'un demi-si cle ? Qu'est-ce qui diff rencie un syst me complexe d'un syst me simple ? Comment peut-on tudier un syst me sans le r duire ses constituants ? Comment peut-on d crire son fonctionnement, s'il est chaotique ? Dans cette introduction qui fourmille d'exemples concrets, Herv Zwirn d crit les math matiques des syst mes complexes dans la vie et la soci t .Herv P. Zwirn, polytechnicien, est directeur de recherche associ au laboratoire de math matiques appliqu es de l' cole normale sup rieure de Cachan et pr sident de la soci t de conseil aux entreprises Eurobios.
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