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This volume is a tutorial for the study of dynamical systems on networks. It discusses both methodology and models, including spreading models for social and biological contagions. The authors focus especially on “simple” situations that are analytically tractable, because they are insightful and provide useful springboards for the study of more complicated scenarios. This tutorial, which also includes key pointers to the literature, should be helpful for junior and senior undergraduate students, graduate students, and researchers from mathematics, physics, and engineering who seek to study dynamical systems on networks but who may not have prior experience with graph theory or networks. Mason A. Porter is Professor of Nonlinear and Complex Systems at the Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, University of Oxford, UK. He is also a member of the CABDyN Complexity Centre and a Tutorial Fellow of Somerville College. James P. Gleeson is Professor of Industrial and Applied Mathematics, and co-Director of MACSI, at the University of Limerick, Ireland.
Reprint of the original, first published in 1842.
Behind enemy lines and displaced in time! Before the Battle of Trenton, George Washington reputedly threw a coin across the river. What if that coin was a bicentennial quarter? When a squad of ROTC cadets training at Fort Dix, New Jersey, in November 2008 find themselves transported to December 1776 in the days before the Battle of Trenton, they find a Continental Army in disarray and General George Washington contemplating the potential of a bleak future. To make matters worse, they’ve lost a modern M-16 rifle to a roving Hessian patrol. Understanding the ramifications of such a discovery, the cadets have no choice but to report to General Washington. Without ammunition or their own meage...
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