chaos the science of predictable random motion

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Chaos

Author : Richard Kautz
ISBN : 9780199594580
Genre : Mathematics
File Size : 49. 13 MB
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Chaos: The Science of Predictable Random Motion bridges the gap between introductions for the layman and college-level texts with an account of chaos theory based on elementary mathematics. It develops the science of dynamics in terms of small time steps, describes the phenomenon of chaos through simple examples, and concludes with a close look at a homoclinic tangle, the mathematical monster at the heart of chaos. The presentation is enhanced by numerousfigures, animations of chaotic motion (available on a companion CD), and biographical sketches of the pioneers of dynamics and chaos theory.

Reliability Assessments

Author : Franklin Richard Nash, Ph.D.
ISBN : 9781315353845
Genre : Business & Economics
File Size : 83. 25 MB
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This book provides engineers and scientists with a single source introduction to the concepts, models, and case studies for making credible reliability assessments. It satisfies the need for thorough discussions of several fundamental subjects. Section I contains a comprehensive overview of assessing and assuring reliability that is followed by discussions of: • Concept of randomness and its relationship to chaos • Uses and limitations of the binomial and Poisson distributions • Relationship of the chi-square method and Poisson curves • Derivations and applications of the exponential, Weibull, and lognormal models • Examination of the human mortality bathtub curve as a template for components Section II introduces the case study modeling of failure data and is followed by analyses of: • 5 sets of ideal Weibull, lognormal, and normal failure data • 83 sets of actual (real) failure data The intent of the modeling was to find the best descriptions of the failures using statistical life models, principally the Weibull, lognormal, and normal models, for characterizing the failure probability distributions of the times-, cycles-, and miles-to-failure during laboratory or field testing. The statistical model providing the preferred characterization was determined empirically by choosing the two-parameter model that gave the best straight-line fit in the failure probability plots using a combination of visual inspection and three statistical goodness-of-fit (GoF) tests. This book offers practical insight in dealing with single item reliability and illustrates the use of reliability methods to solve industry problems.

Encyclopedia Of Physical Science And Technology

Author : Robert Allen Meyers
ISBN : 0122274113
Genre : Physical sciences
File Size : 84. 91 MB
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Following in the footsteps of the earlier editions, hundreds of the most respected scientists and engineers participated in the creation of this new edition, including many Nobel Laureates. The articles are in-depth, yet accessible, and address all of the key areas of physical science--including aeronautics, astronomy, chemistry, communications, computers, earth sciences, electronics, engineering, materials science, mathematics, nuclear technology, physics, power systems, propulsion, and space technology. (Midwest).

Mathematics For Mechanical Engineers

Author : Frank Kreith
ISBN : 0849300568
Genre : Mathematics
File Size : 71. 86 MB
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Mathematics for Mechanical Engineers gives mechanical engineers convenient access to the essential problem solving tools that they use each day. It covers applications employed in many different facets of mechanical engineering, from basic through advanced, to ensure that you will easily find answers you need in this handy guide. For the engineer venturing out of familiar territory, the chapters cover fundamentals like physical constants, derivatives, integrals, Fourier transforms, Bessel functions, and Legendre functions. For the experts, it includes thorough sections on the more advanced topics of partial differential equations, approximation methods, and numerical methods, often used in applications. The guide reviews statistics for analyzing engineering data and making inferences, so professionals can extract useful information even with the presence of randomness and uncertainty. The convenient Mathematics for Mechanical Engineers is an indispensable summary of mathematics processes needed by engineers.

Instability Chaos And Predictability In Celestial Mechanics And Stellar Dynamics

Author : International Astronomical Union. Colloquium
ISBN : UOM:39015029531038
Genre : Science
File Size : 72. 4 MB
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Proceedings of the International Astronomical Union Colloquium 132 held in Delhi, India, October 1990. Papers are divided into five sections: chaos, ergodic and stochastic motion, stellar systems and galaxies, triple and many body problem, and general celestial mechanics and stellar dynamics. Topics include algorithms for controlling chaos, vector

The Chaotic Pendulum

Author : M. Gitterman
ISBN : 9789814322003
Genre : Science
File Size : 72. 99 MB
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The chaotic behavior of pendulum is usually associated with the random force acting on a pendulum (Brownian motion). This book presents a comprehensive description of these phenomena going on in underdamped and overdamped pendula subject to additive and multiplicative periodic and random forces.

Chaos Die Ordnung Des Universums

Author : James Gleick
ISBN : 3426040786
Genre : Chaotic behavior in systems
File Size : 59. 38 MB
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Die Chaosphysik nach den beiden naturwissenschaftlichen Revolutionen unseres Jahrhunderts - Relativitätstheorie und Quantenmechanik - die neueste Disziplin der theoretischen Physik, dringt bis in die verborgensten Bereiche der Wissenschaften vor: in die Ordnung von Turbulenzen, Konfusionen und eher zufälligen Gesetzmäßiqkeiten. (Quelle: www.booklooker.de).

Prime Obsession

Author : John Derbyshire
ISBN : 9780309141253
Genre : Science
File Size : 70. 59 MB
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In August 1859 Bernhard Riemann, a little-known 32-year old mathematician, presented a paper to the Berlin Academy titled: "On the Number of Prime Numbers Less Than a Given Quantity." In the middle of that paper, Riemann made an incidental remark â€" a guess, a hypothesis. What he tossed out to the assembled mathematicians that day has proven to be almost cruelly compelling to countless scholars in the ensuing years. Today, after 150 years of careful research and exhaustive study, the question remains. Is the hypothesis true or false? Riemann's basic inquiry, the primary topic of his paper, concerned a straightforward but nevertheless important matter of arithmetic â€" defining a precise formula to track and identify the occurrence of prime numbers. But it is that incidental remark â€" the Riemann Hypothesis â€" that is the truly astonishing legacy of his 1859 paper. Because Riemann was able to see beyond the pattern of the primes to discern traces of something mysterious and mathematically elegant shrouded in the shadows â€" subtle variations in the distribution of those prime numbers. Brilliant for its clarity, astounding for its potential consequences, the Hypothesis took on enormous importance in mathematics. Indeed, the successful solution to this puzzle would herald a revolution in prime number theory. Proving or disproving it became the greatest challenge of the age. It has become clear that the Riemann Hypothesis, whose resolution seems to hang tantalizingly just beyond our grasp, holds the key to a variety of scientific and mathematical investigations. The making and breaking of modern codes, which depend on the properties of the prime numbers, have roots in the Hypothesis. In a series of extraordinary developments during the 1970s, it emerged that even the physics of the atomic nucleus is connected in ways not yet fully understood to this strange conundrum. Hunting down the solution to the Riemann Hypothesis has become an obsession for many â€" the veritable "great white whale" of mathematical research. Yet despite determined efforts by generations of mathematicians, the Riemann Hypothesis defies resolution. Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world. Posited a century and a half ago, the Riemann Hypothesis is an intellectual feast for the cognoscenti and the curious alike. Not just a story of numbers and calculations, Prime Obsession is the engrossing tale of a relentless hunt for an elusive proof â€" and those who have been consumed by it.

Scientific American

Author :
ISBN : UOM:39015011151001
Genre : Technology
File Size : 66. 84 MB
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Postmodern Philosophy And The Scientific Turn

Author : Dorothea E. Olkowski
ISBN : 9780253001146
Genre : Philosophy
File Size : 47. 73 MB
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A groundbreaking, interdisciplinary approach to the study of consciousness: “Beautifully written, engaging throughout, and captivating” (Claire Colebrook, The Pennsylvania State University). What can come of a scientific engagement with postmodern philosophy? Some scientists have claimed that the social sciences and humanities have nothing to contribute, except perhaps peripherally, to their research. Dorothea E. Olkowski shows that mathematics itself—the historic link between science and philosophy—plays a fundamental role in the development of the worldviews that drive both fields. Focusing on language, its usage and expression of worldview, she develops a phenomenological account of human thought and action to explicate the role of philosophy in the sciences. Olkowski proposes a model of phenomenology, both scientific and philosophical, that helps make sense of reality and composes an ethics for dealing with unpredictability in our world.

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