“tag:fractal”
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Complexity [图书] 豆瓣
作者: Mitchell M. Waldrop Simon & Schuster 1992 - 1
In a rented convent in Santa Fe, a revolution has been brewing. The activists are not anarchists, but rather Nobel Laureates in physics and economics such as Murray Gell-Mann and Kenneth Arrow, and pony-tailed graduate students, mathematicians, and computer scientists down from Los Alamos. They've formed an iconoclastic think tank called the Santa Fe Institute, and their radical idea is to create a new science called complexity. These mavericks from academe share a deep impatience with the kind of linear, reductionist thinking that has dominated science since the time of Newton. Instead, they are gathering novel ideas about interconnectedness, coevolution, chaos, structure, and order - and they're forging them into an entirely new, unified way of thinking about nature, human social behavior, life, and the universe itself. They want to know how a primordial soup of simple molecules managed to turn itself into the first living cell - and what the origin of life some four billion years ago can tell us about the process of technological innovation today. They want to know why ancient ecosystems often remained stable for millions of years, only to vanish in a geological instant - and what such events have to do with the sudden collapse of Soviet communism in the late 1980s. They want to know why the economy can behave in unpredictable ways that economists can't explain - and how the random process of Darwinian natural selection managed to produce such wonderfully intricate structures as the eye and the kidney. Above all, they want to know how the universe manages to bring forth complex structures such as galaxies, stars, planets, bacteria, plants, animals, and brains. There are commonthreads in all of these queries, and these Santa Fe scientists seek to understand them. Complexity is their story: the messy, funny, human story of how science really happens. Here is the tale of Brian Arthur, the Belfast-born economist who stubbornly pushed his theories of economic ch
植物的算法美 [图书] 豆瓣
The Algorithmic Beauty of Plants
作者: (加)普鲁辛凯维奇,(加)林德梅叶 科学出版社 2008 - 5
《植物的算法美》首先介绍Lindermayer系统,然后根据植物生长的自相似性,通过研究植物的生长规则,利用分形几何的知识建立了数学模型,进而对植物的生长规则给定相应的算法,利用L系统非常逼真地模拟植物的生长过程,而后进行研究并建立了数学模型。《植物的算法美》从高于现实的思想高度挑战建立数学模型并寻求算法,来刻画现实中的已知结构,利用L系统对鲜活组织中不能够直观观察到的过程给出直观表示。《植物的算法美》假设读者具有大学数学水平,所有基本概念都是以独立的风格提出的。
Critical Phenomena in Natural Sciences [图书] 豆瓣
作者: Didier Sornette Springer 2006 - 3
Concepts, methods and techniques of statistical physics in the study of correlated, as well as uncorrelated, phenomena are being applied ever increasingly in the natural sciences, biology and economics in an attempt to understand and model the large variability and risks of phenomena. This is the first textbook written by a well-known expert that provides a modern up-to-date introduction for workers outside statistical physics.
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