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13 Remote Warehouse Mathematics- Popular Chaos and Fractals

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Other titles in the Jessie & John Danz Lectures series:

Essence of Chaos

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Synopses & Reviews

Publisher Comments:

Chaos surrounds us. Seemingly random events — the flapping of a flag, a storm-driven wave striking the shore, a pinball's path — often appear to have no order, no rational pattern. Explicating the theory of chaos and the consequences of its principal findings — that actual, precise rules may govern such apparently random behavior — has been a major part of the work of Edward N. Lorenz. In The Essence of Chaos, Lorenz presents to the general reader the features of this "new science," with its far-reaching implications for much of modern life, from weather prediction to philosophy, and he describes its considerable impact on emerging scientific fields.

Unlike the phenomena dealt with in relativity theory and quantum mechanics, systems that are now described as "chaotic" can be observed without telescopes or microscopes. They range from the simplest happenings, such as the falling of a leaf, to the most complex processes, like the fluctuations of climate. Each process that qualifies, however, has certain quantifiable characteristics: how it unfolds depends very sensitively upon its present state, so that, even though it is not random, it seems to be. Lorenz uses examples from everyday life, and simple calculations, to show how the essential nature of chaotic systems can be understood. In order to expedite this task, he has constructed a mathematical model of a board sliding down a ski slope as his primary illustrative example. With this model as his base, he explains various chaotic phenomena, including some associated concepts such as strange attractors and bifurcations.

As a meteorologist, Lorenz initially became interested in the field of chaos because of its implications for weather forecasting. In a chapter ranging through the history of weather prediction and meteorology to a brief picture of our current understanding of climate, he introduces many of the researchers who conceived the experiments and theories, and he describes his own initial encounter with chaos.

A further discussion invites readers to make their own chaos. Still others debate the nature of randomness and its relationship to chaotic systems, and describe three related fields of scientific thought: nonlinearity, complexity, and fractality. Appendixes present the first publication of Lorenz's seminal paper "Does the Flap of a Butterfly's Wing in Brazil Set Off a Tornado in Texas?"; the mathematical equations from which the copious illustrations were derived; and a glossary.

Synopsis:

The study of chaotic systems has become a major scientific pursuit in recent years, shedding light on the apparently random behaviour observed in fields as diverse as climatology and mechanics. InThe Essence of Chaos Edward Lorenz, one of the founding fathers of Chaos and the originator of its seminal concept of the Butterfly Effect, presents his own landscape of our current understanding of the field.

Lorenz presents everyday examples of chaotic behaviour, such as the toss of a coin, the pinball's path, the fall of a leaf, and explains in elementary mathematical strms how their essentially chaotic nature can be understood. His principal example involved the construction of a model of a board sliding down a ski slope. Through this model Lorenz illustrates chaotic phenomena and the related concepts of bifurcation and strange attractors. He also provides the context in which chaos can be related to the similarly emergent fields of nonlinearity, complexity and fractals.

As an early pioneer of chaos, Lorenz also provides his own story of the human endeavour in developing this new field. He describes his initial encounters with chaos through his study of climate and introduces many of the personalities who contributed early breakthroughs. His seminal paper, Does the Flap of a Butterfly's Wing in Brazil Set Off a Tornado in Texas? is published for the first time.

Synopsis:

'For the personal glimpses of chaos theory development alone, this book is worth-while; for a clear, sharp development of the subject, the book is excellent; and for tying humanistic and scientific considerations together so well, there is a major debt owed to Lorenz.'--Geophysics

Product Details

ISBN:
9780295975146
Author:
Lorenz, Edward N.
Publisher:
University of Washington Press
Location:
Seattle
Subject:
General
Subject:
Philosophy
Subject:
Meteorology
Subject:
System Theory
Subject:
Chaotic Behavior in Systems
Subject:
Earth Sciences - Meteorology & Climatology
Subject:
Science
Subject:
Physics-Meteorology
Copyright:
Edition Number:
1st pbk. ed.
Series:
The Jessie and John Danz lectures
Series Volume:
TM 11-5855-265-20
Publication Date:
19951031
Binding:
TRADE PAPER
Grade Level:
College/higher education:
Language:
English
Illustrations:
Yes
Pages:
240
Dimensions:
9.03x6.06x.70 in. .78 lbs.

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Related Subjects


Reference » Science Reference » Chaos and Complexity
Science and Mathematics » Mathematics » Advanced
Science and Mathematics » Mathematics » Popular Chaos and Fractals
Science and Mathematics » Mathematics » Systems Theory
Science and Mathematics » Physics » Meteorology

Essence of Chaos New Trade Paper
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Product details 240 pages University of Washington Press - English 9780295975146 Reviews:
"Synopsis" by , The study of chaotic systems has become a major scientific pursuit in recent years, shedding light on the apparently random behaviour observed in fields as diverse as climatology and mechanics. InThe Essence of Chaos Edward Lorenz, one of the founding fathers of Chaos and the originator of its seminal concept of the Butterfly Effect, presents his own landscape of our current understanding of the field.

Lorenz presents everyday examples of chaotic behaviour, such as the toss of a coin, the pinball's path, the fall of a leaf, and explains in elementary mathematical strms how their essentially chaotic nature can be understood. His principal example involved the construction of a model of a board sliding down a ski slope. Through this model Lorenz illustrates chaotic phenomena and the related concepts of bifurcation and strange attractors. He also provides the context in which chaos can be related to the similarly emergent fields of nonlinearity, complexity and fractals.

As an early pioneer of chaos, Lorenz also provides his own story of the human endeavour in developing this new field. He describes his initial encounters with chaos through his study of climate and introduces many of the personalities who contributed early breakthroughs. His seminal paper, Does the Flap of a Butterfly's Wing in Brazil Set Off a Tornado in Texas? is published for the first time.

"Synopsis" by , 'For the personal glimpses of chaos theory development alone, this book is worth-while; for a clear, sharp development of the subject, the book is excellent; and for tying humanistic and scientific considerations together so well, there is a major debt owed to Lorenz.'--Geophysics
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