Advanced Textbooks in Mathematics: Crowds in Equations (ePub)

-->The book contains self-contained descriptions of existing models, accompanied by critical analyses of their properties both from a theoretical and practical standpoint. It aims to develop 'modeling skills' within the readers, giving them the ability to develop their own models and improve existing ones. Written in connection with a full, open source Python Library, this project also enables readers to run the simulations discussed within the text. -->Contents: ForewordIntroductionOne-Dimensional Microscopic ModelsSocial Force Model, Native and Overdamped FormsGranular ModelsCellular AutomataCompartment ModelsToward Macroscopic ModelsComputing Distance and Desired VelocitiesData, Observable PhenomenaA Wider Look on Characteristic Phenomena in CrowdsAppendices:Ordinary Differential EquationsConstrained OptimizationBibliographyIndex --> -->Readership: Students or researchers interested in crowd motion modeling. -->Crowd;Microscopic Models;Mathematical Modelling;Simulation;Ordinary Differential Equations;Evacuation0Key Features:This book has been written in connection with a software development project: the authors of the book have developed a full Python Library (called Cromosim) which will be released shortlyThe open source project will make it possible to readers to run the simulations described on the book, to test new configurations, and even to investigate the possibility to improve the basic models ("do-it yourself" feature)