複雑系のモデリング<br>Modeling Complex Systems (Graduate Texts in Contemporary Physics)

複雑系のモデリング
Modeling Complex Systems (Graduate Texts in Contemporary Physics)

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  • 製本 Hardcover:ハードカバー版／ページ数 450 p., 120 illus.
  • 商品コード 9780387404622

基本説明

Explores the process of modeling complex systems in the widest sense, drawing on examples from such fields as ecology, epidemiology, sociology, seismology, as well as economics, etc. Contents: I. Mean-Field Type Models.- II. Agent-Based Models.

Full Description


This book explores the process of modeling complex systems in the widest sense of that term, drawing on examples from such diverse fields as ecology, epidemiology, sociology, seismology, as well as economics. It also provides the mathematical tools for studying the dynamics of these systems. Boccara takes a carefully inductive approach in defining what it means for a system to be "complex" (and at the same time addresses the equally elusive concept of emergent properties). This is the first text on the subject to draw comprehensive conclusions from such a wide range of analogous phenomena.

Contents

Introduction.- How to Build up a Model.- I. Mean-Field Type ModelsDifferential Equations.- Recurrence Equations.- Chaos.- II. Agent-Based Models: Cellular Automata.- Networks.- Power-law Distributions.