ネットワーク入門<br>Networks : An Introduction

ネットワーク入門
Networks : An Introduction

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  • 製本 Hardcover:ハードカバー版／ページ数 772 p.／サイズ 120 line illus.
  • 言語 ENG
  • 商品コード 9780199206650
  • DDC分類 003

基本説明

Brings together the analysis from mathematics, physics, computer and information sciences, biology, and the social sciences.

Full Description


The scientific study of networks, including computer networks, social networks, and biological networks, has received an enormous amount of interest in the last few years. The rise of the Internet and the wide availability of inexpensive computers have made it possible to gather and analyze network data on a large scale, and the development of a variety of new theoretical tools has allowed us to extract new knowledge from many different kinds of networks. The studyof networks is broadly interdisciplinary and important developments have occurred in many fields, including mathematics, physics, computer and information sciences, biology, and the social sciences. This book brings together for the first time the most important breakthroughs in each of thesefields and presents them in a coherent fashion, highlighting the strong interconnections between work in different areas.Subjects covered include the measurement and structure of networks in many branches of science, methods for analyzing network data, including methods developed in physics, statistics, and sociology, the fundamentals of graph theory, computer algorithms, and spectral methods, mathematical models of networks, including random graph models and generative models, and theories of dynamical processes taking place on networks.

Contents

1. Introduction ; 2. Technological Networks ; 3. Social Networks ; 4. Information Networks ; 5. Biological Networks ; 6. Mathematics of Networks ; 7. Measures and Metrics ; 8. The Large-scale Structure of Networks ; 9. Basic Concepts of Algorithms ; 10. Fundamental Network Algorithms ; 11. Matrix Algorithms and Graph Partitioning ; 12. Random Graphs ; 13. Generalized Random Graphs ; 14. Models of Network Formation ; 15. Other Network Models ; 16. Percolation and Network Resilience ; 17. Epidemics on Networks ; 18. Dynamical Systems on Networks ; 19. Network Search ; References ; Index