A Beautiful Math: John Nash, Game Theory, and the Modern Quest for a Code of NatureNational Academies Press, 21/09/2006 - 272 páginas Millions have seen the movie and thousands have read the book but few have fully appreciated the mathematics developed by John Nash's beautiful mind. Today Nash's beautiful math has become a universal language for research in the social sciences and has infiltrated the realms of evolutionary biology, neuroscience, and even quantum physics. John Nash won the 1994 Nobel Prize in economics for pioneering research published in the 1950s on a new branch of mathematics known as game theory. At the time of Nash's early work, game theory was briefly popular among some mathematicians and Cold War analysts. But it remained obscure until the 1970s when evolutionary biologists began applying it to their work. In the 1980s economists began to embrace game theory. Since then it has found an ever expanding repertoire of applications among a wide range of scientific disciplines. Today neuroscientists peer into game players' brains, anthropologists play games with people from primitive cultures, biologists use games to explain the evolution of human language, and mathematicians exploit games to better understand social networks. A common thread connecting much of this research is its relevance to the ancient quest for a science of human social behavior, or a Code of Nature, in the spirit of the fictional science of psychohistory described in the famous Foundation novels by the late Isaac Asimov. In A Beautiful Math, acclaimed science writer Tom Siegfried describes how game theory links the life sciences, social sciences, and physical sciences in a way that may bring Asimov's dream closer to reality. |
No interior do livro
Resultados 1-5 de 35
... known as the Foundation Trilogy. After all, he reasoned, the Arabic word “qaeda” means something like “base” or “foundation.” And the first novel in Asimov's trilogy, Foundation, apparently was titled “al-Qaida” in an Arabic translation ...
... known as the Foundation Trilogy, Asimov foresaw a new kind of science called psychohistory, capable itself of forecasting political, economic, and social events. Psychohistory, as Asimov envisioned it, was “the science of human behavior ...
... science, transforming the somewhat inchoate insights of their predecessors into treatises that guided modern thought. Just as modern physics descended from Newton's codification of what was then known as natural 12 A BEAUTIFUL MATH.
... known as natural philosophy, modern economics is the offspring of Adam Smith's treatise on political economy. And though their major works were separated by nearly a century, the philosophies they articulated merged to forge a new ...
... known as tinkers. Apparently the uncle rescued the toddler shortly thereafter. Growing up, Adam was a bright kid, earning a reputation as a bookworm with a spectacular memory. At 14 he entered the University of Glasgow (in those days ...
Índice
1 | |
11 | |
27 | |
3 Nashs EquilibriumGame theorys foundation | 51 |
4 Smiths StrategiesEvolution altruism and cooperation | 73 |
5 Freuds DreamGames and the brain | 93 |
6 Seldons SolutionGame theory culture and human nature | 110 |
7 Quetelets Statistics and Maxwells MoleculesStatistics and society statistics and physics | 126 |
9 Asimovs VisionPsychohistory or sociophysics? | 164 |
10 Meyers PennyQuantum fun and games | 182 |
11 Pascals WagerGames probability information and ignorance | 197 |
Epilogue | 217 |
AppendixCalculating a Nash Equilibrium | 225 |
Further Reading | 230 |
Notes | 233 |
Index | 249 |
Outras edições - Ver tudo
A Beautiful Math: John Nash, Game Theory, and the Modern Quest for a Code of ... Tom Siegfried Pré-visualização limitada - 2006 |
A Beautiful Math: John Nash, Game Theory, and the Modern Quest for a Code of ... Tom Siegfried Pré-visualização limitada - 2006 |