出版社: Penguin
副标题: The New Mathematics of Chaos
出版年: 19970626
页数: 416
定价: GBP 14.99
装帧: Paperback
ISBN: 9780140256024
内容简介 · · · · · ·
"You believe in a God who plays dice, and I in complete law and order." Albert Einstein The science of chaos is forcing scientists to rethink Einstein's fundamental assumptions regarding the way the universe behaves. Chaos theory has already shown that simple systems, obeying precise laws, can nevertheless act in a random manner. Perhaps God plays dice within a cosmic game o...
"You believe in a God who plays dice, and I in complete law and order." Albert Einstein The science of chaos is forcing scientists to rethink Einstein's fundamental assumptions regarding the way the universe behaves. Chaos theory has already shown that simple systems, obeying precise laws, can nevertheless act in a random manner. Perhaps God plays dice within a cosmic game of complete law and order. Does God Play Dice? reveals a strange universe in which nothing may be as it seems. Familiar geometrical shapes such as circles and ellipses give way to infinitely complex structures known as fractals, the fluttering of a butterfly's wings can change the weather, and the gravitational attraction of a creature in a distant galaxy can change the fate of the solar system.
This revised and updated edition includes three chapters on the prediction and control of chaotic systems. New information regarding the solar system and an account of complexity theory is also incorporated. It is a lucid and witty book which makes the complex mathematics of chaos accessible and entertaining.
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there has 2 distinct themes. 1 is to explain the mathematical concept of chaos, and why it is both natural and inevitable. The other is to ask: does chaos occur in the real world? In order for that question to make sense, it has to be reformulated. No mathematics occurs in the real world. What it does is model the real world in a useful manner. The geometry of the circle hepls us understand why wh...
20121212 14:56
there has 2 distinct themes. 1 is to explain the mathematical concept of chaos, and why it is both natural and inevitable. The other is to ask: does chaos occur in the real world? In order for that question to make sense, it has to be reformulated. No mathematics occurs in the real world. What it does is model the real world in a useful manner. The geometry of the circle hepls us understand why wheels roll smoothly, but you won't find a genuine mathematical circle on a car. you can find 2 sheep, 2 apples or 2 bookends in the real world. ....................回应 20121212 14:56 
i think it's a mistake to view chaos as a theory in its own right....................it's a concept, and one that cannot sensibly be separated from the rest of dynamics. it's an idea that cuts across all of the traditional subject boundaries of science.it's a missing piece from a vast jigsaw puzzle. it's a farreaching unification of order and disorder. but whatever it is, chaos no more deserves t...
20121212 14:45
i think it's a mistake to view chaos as a theory in its own right....................it's a concept, and one that cannot sensibly be separated from the rest of dynamics. it's an idea that cuts across all of the traditional subject boundaries of science.it's a missing piece from a vast jigsaw puzzle. it's a farreaching unification of order and disorder. but whatever it is, chaos no more deserves to be isolated as a theory in its own right than 'skeleton theory". deserves to be isolated from zoology.回应 20121212 14:45 
There is a theory that history moves in cycles. But, like a spiral staircase, when the course of human envetns comes full circle it does so on a new level.............chaos gives way to order, which in turn gives rise to new forms of chaos. But in this swing of pendulum, we seek not to destory chaos, but to tame it. ................. The very distinction Einstein was trying to emphasize, bet...
20121212 13:20
There is a theory that history moves in cycles. But, like a spiral staircase, when the course of human envetns comes full circle it does so on a new level.............chaos gives way to order, which in turn gives rise to new forms of chaos. But in this swing of pendulum, we seek not to destory chaos, but to tame it..................The very distinction Einstein was trying to emphasize, between the randomness of chance and the determinism of law, is called into question. Perhaps God can play dice, and creat a universe of complete law and order, in the same breath....................systems obeying immutable and precise laws do not always act in predictable and regular ways. Simple laws may not produce simple behaviour. Deterministic laws can produce behaviour that appears random. Order can breed its own kind of chaos. The question is not so much whether god plays dice, but how god plays dice..........................回应 20121212 13:20 
This is where chaos can become controversial, because it is no longer just a matter of checking the mathematics and making sure there aren't any errors. Analogously, calculus is a valid mathematical theory, but that doesnt imply that every application of calculus to science must be right. If you set up the wrong differential equations when you model the motion of the Moon,then mo matter how corre...
20120912 15:46
This is where chaos can become controversial, because it is no longer just a matter of checking the mathematics and making sure there aren't any errors. Analogously, calculus is a valid mathematical theory, but that doesnt imply that every application of calculus to science must be right. If you set up the wrong differential equations when you model the motion of the Moon,then mo matter how correctly you apply calculus, you'll get nonsense.The same is true if your theoretical model generates chaos: the link from the model to chaos may be impeccable,but what ahout the link from the reality to model?回应 20120912 15:46

There is a theory that history moves in cycles. But, like a spiral staircase, when the course of human envetns comes full circle it does so on a new level.............chaos gives way to order, which in turn gives rise to new forms of chaos. But in this swing of pendulum, we seek not to destory chaos, but to tame it. ................. The very distinction Einstein was trying to emphasize, bet...
20121212 13:20
There is a theory that history moves in cycles. But, like a spiral staircase, when the course of human envetns comes full circle it does so on a new level.............chaos gives way to order, which in turn gives rise to new forms of chaos. But in this swing of pendulum, we seek not to destory chaos, but to tame it..................The very distinction Einstein was trying to emphasize, between the randomness of chance and the determinism of law, is called into question. Perhaps God can play dice, and creat a universe of complete law and order, in the same breath....................systems obeying immutable and precise laws do not always act in predictable and regular ways. Simple laws may not produce simple behaviour. Deterministic laws can produce behaviour that appears random. Order can breed its own kind of chaos. The question is not so much whether god plays dice, but how god plays dice..........................回应 20121212 13:20 
i think it's a mistake to view chaos as a theory in its own right....................it's a concept, and one that cannot sensibly be separated from the rest of dynamics. it's an idea that cuts across all of the traditional subject boundaries of science.it's a missing piece from a vast jigsaw puzzle. it's a farreaching unification of order and disorder. but whatever it is, chaos no more deserves t...
20121212 14:45
i think it's a mistake to view chaos as a theory in its own right....................it's a concept, and one that cannot sensibly be separated from the rest of dynamics. it's an idea that cuts across all of the traditional subject boundaries of science.it's a missing piece from a vast jigsaw puzzle. it's a farreaching unification of order and disorder. but whatever it is, chaos no more deserves to be isolated as a theory in its own right than 'skeleton theory". deserves to be isolated from zoology.回应 20121212 14:45 
This is where chaos can become controversial, because it is no longer just a matter of checking the mathematics and making sure there aren't any errors. Analogously, calculus is a valid mathematical theory, but that doesnt imply that every application of calculus to science must be right. If you set up the wrong differential equations when you model the motion of the Moon,then mo matter how corre...
20120912 15:46
This is where chaos can become controversial, because it is no longer just a matter of checking the mathematics and making sure there aren't any errors. Analogously, calculus is a valid mathematical theory, but that doesnt imply that every application of calculus to science must be right. If you set up the wrong differential equations when you model the motion of the Moon,then mo matter how correctly you apply calculus, you'll get nonsense.The same is true if your theoretical model generates chaos: the link from the model to chaos may be impeccable,but what ahout the link from the reality to model?回应 20120912 15:46 
there has 2 distinct themes. 1 is to explain the mathematical concept of chaos, and why it is both natural and inevitable. The other is to ask: does chaos occur in the real world? In order for that question to make sense, it has to be reformulated. No mathematics occurs in the real world. What it does is model the real world in a useful manner. The geometry of the circle hepls us understand why wh...
20121212 14:56
there has 2 distinct themes. 1 is to explain the mathematical concept of chaos, and why it is both natural and inevitable. The other is to ask: does chaos occur in the real world? In order for that question to make sense, it has to be reformulated. No mathematics occurs in the real world. What it does is model the real world in a useful manner. The geometry of the circle hepls us understand why wheels roll smoothly, but you won't find a genuine mathematical circle on a car. you can find 2 sheep, 2 apples or 2 bookends in the real world. ....................回应 20121212 14:56

there has 2 distinct themes. 1 is to explain the mathematical concept of chaos, and why it is both natural and inevitable. The other is to ask: does chaos occur in the real world? In order for that question to make sense, it has to be reformulated. No mathematics occurs in the real world. What it does is model the real world in a useful manner. The geometry of the circle hepls us understand why wh...
20121212 14:56
there has 2 distinct themes. 1 is to explain the mathematical concept of chaos, and why it is both natural and inevitable. The other is to ask: does chaos occur in the real world? In order for that question to make sense, it has to be reformulated. No mathematics occurs in the real world. What it does is model the real world in a useful manner. The geometry of the circle hepls us understand why wheels roll smoothly, but you won't find a genuine mathematical circle on a car. you can find 2 sheep, 2 apples or 2 bookends in the real world. ....................回应 20121212 14:56 
i think it's a mistake to view chaos as a theory in its own right....................it's a concept, and one that cannot sensibly be separated from the rest of dynamics. it's an idea that cuts across all of the traditional subject boundaries of science.it's a missing piece from a vast jigsaw puzzle. it's a farreaching unification of order and disorder. but whatever it is, chaos no more deserves t...
20121212 14:45
i think it's a mistake to view chaos as a theory in its own right....................it's a concept, and one that cannot sensibly be separated from the rest of dynamics. it's an idea that cuts across all of the traditional subject boundaries of science.it's a missing piece from a vast jigsaw puzzle. it's a farreaching unification of order and disorder. but whatever it is, chaos no more deserves to be isolated as a theory in its own right than 'skeleton theory". deserves to be isolated from zoology.回应 20121212 14:45 
There is a theory that history moves in cycles. But, like a spiral staircase, when the course of human envetns comes full circle it does so on a new level.............chaos gives way to order, which in turn gives rise to new forms of chaos. But in this swing of pendulum, we seek not to destory chaos, but to tame it. ................. The very distinction Einstein was trying to emphasize, bet...
20121212 13:20
There is a theory that history moves in cycles. But, like a spiral staircase, when the course of human envetns comes full circle it does so on a new level.............chaos gives way to order, which in turn gives rise to new forms of chaos. But in this swing of pendulum, we seek not to destory chaos, but to tame it..................The very distinction Einstein was trying to emphasize, between the randomness of chance and the determinism of law, is called into question. Perhaps God can play dice, and creat a universe of complete law and order, in the same breath....................systems obeying immutable and precise laws do not always act in predictable and regular ways. Simple laws may not produce simple behaviour. Deterministic laws can produce behaviour that appears random. Order can breed its own kind of chaos. The question is not so much whether god plays dice, but how god plays dice..........................回应 20121212 13:20 
This is where chaos can become controversial, because it is no longer just a matter of checking the mathematics and making sure there aren't any errors. Analogously, calculus is a valid mathematical theory, but that doesnt imply that every application of calculus to science must be right. If you set up the wrong differential equations when you model the motion of the Moon,then mo matter how corre...
20120912 15:46
This is where chaos can become controversial, because it is no longer just a matter of checking the mathematics and making sure there aren't any errors. Analogously, calculus is a valid mathematical theory, but that doesnt imply that every application of calculus to science must be right. If you set up the wrong differential equations when you model the motion of the Moon,then mo matter how correctly you apply calculus, you'll get nonsense.The same is true if your theoretical model generates chaos: the link from the model to chaos may be impeccable,but what ahout the link from the reality to model?回应 20120912 15:46
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good to deliver the first comment here for one ...  来自soloAmanda  20120912 
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读的我一塌糊涂.........
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因为读了这本书才选择了现在的研究方向, 已经十年了
0 有用 牧之 20150612
读的我一塌糊涂.........
0 有用 Log 20131111
因为读了这本书才选择了现在的研究方向, 已经十年了