图书简介

Contents; Preface; Part I: Linear and nonlinear processes; 1.1: Introduction; 1.2: Modelling; 1.3: The Origins of System Dynamics: Mechanics; 1.4: Linearity in Models; 1.5: One of The Most Basic Natural Systems: The Pendulum; 1.6: Linearity as a First, Often Insufficient Approximation; 1.7: The Nonlinearity of Natural Processes: The Case of The Pendulum; 1.8: Dynamical Systems and The Phase Space; 1.9: Extension of The Concepts and Models Used in Physics to Economics; 1.10: The Chaotic Pendulum; 1.11: Linear Models in Social Processes: The Case of Two Interacting Populations; 1.12: Nonlinear Models in Social Processes: The Model of Volterra-Lotka and Some of Its Variants in Ecology; 1.13: Nonlinear Models in Social Processes: The Volterra-Lotka Model Applied to Urban and Regional Science; Part II: From nonlinearity to chaos; 2.1: Introduction; 2.2: Dynamical Systems and Chaos; 2.3: Strange and Chaotic Attractors; 2.4: Chaos in Real Systems and in Mathematical Models; 2.5: Stability in Dynamical Systems; 2.6: The Problem of Measuring Chaos in Real Systems; 2.7: Logistic Growth as A Population Development Model; 2.8: A Nonlinear Discrete Model: The Logistic Map; 2.9: The Logistic Map: Some Results of Numerical Simulations and An Application; 2.10: Chaos in Systems: The Main Concepts; Part III: Complexity; 3.1: Introduction; 3.2: Inadequacy of Reductionism; 3.3: Some Aspects of The Classical Vision of Science; 3.4: From Determinism to Complexity: Self-Organisation, A New Understanding of System Dynamics; 3.5: What is Complexity?; 3.6: Complexity and Evolution; 3.7: Complexity in Economic Processes; 3.8: Some Thoughts on The Meaning of ’Doing Mathematics’; 3.9: Digression into The Main Interpretations of The Foundations of Mathematics; 3.10: The Need for A Mathematics of (or for) Complexity; References; Name Index; Subject Index

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