Matrices offer some of the most powerful techniques in modem mathematics. In the social sciences they provide fresh insights into an astonishing variety of topics. Dominance matrices can show how power struggles in offices or committees develop; Markov chains predict how fast news or gossip will spread in a village; permutation matrices illuminate kinship structures in tribal societies. All these invaluable techniques and many more are explained clearly and simply in this wide-ranging book.
Originally published in 1986.
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Autorentext
Ian Bradley & Ronald L. Meek
Inhalt
- FrontMatter,
- Contents,
- Preface,
- 1. Matrices and How to Manipulate Them,
- 2. Matrix Inversion,
- 3. The Ins and Outs of Economic Planning,
- 4. Matrices and Matrimony in Tribal Societies,
- 5. Dominance in Coops and Courts,
- 6. The Simple Mathematics of Markov Chains,
- 7. Models of Mobility,
- 8. The Mathematics of Absorbing Markov Chains,
- 9 'Everywhere Man Is in Chains',
- 10. The Seven Ages of Man and Population Problems,
- 11. Playing Games in Theory,
- 12. Magic, Fishing and Farming - Some Applications of Constant-sum Games Theory,
- 13. Conflict or Co-operation,
- Epilogue and Further Reading,