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Randomnicity : rules and randomness in the realm of the infinite /
This unique book explores the definition, sources and role of randomness. A joyful discussion with many non-mathematical and mathematical examples leads to the identification of three sources of randomness: randomness due to irreversibility which inhibits us from extracting whatever rules may underl...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London : Singapore :
Imperial College Press ; Distributed by World Scientific Pub. Co.,
©2008.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- pt. I. 1. The three parts of everything. 2. Gödel visits Escher's studio. Gödel's theorem. 3. Slippery road. 4. Fuller than full. 5. Cantor would have been pleased
- pt. II. Sources of randomness. 6. A private lesson a long, long time ago. 7. The five faces of order. 8. Randomness of the first kind. 9. Randomness of the second kind. 10. Randomness of the third kind
- pt. III. Randomness in the universe. 11. From Aristotle to Einstein. 12. The world according to an electron. 13. Chaos. 14. The supreme law. 15. Randomness of the fourth kind? 16. Connections. 17. Allowed behaviors
- Part IV. The emergence of the real world. 18. The fractal character of nature. 19. Physics plus randomness. 20. Stochastic processes. 21. Self-organization. 22. The blueprint of life. 23. Human products and social phenomena. 24. The principle of minimum energy consumption
- pt. V. The role of randomness. 25. Efficiency, paradoxes and beauty.