Author: Ian Stewart
Publisher: Penguin UK
Release Date: 1997-06-26
Since the dramatic discovery of the mathematical concept of chaos in 1989, the controversy of its contents has settled down. This revised edition of Does God Play Dice? takes a fresh look at its achievements and potential. With a new preface and three completely new chapters, it includes the latest practical applications of chaos theory, such as developing intelligent heart pacemakers. All this provides a fascinating new answer to Einstien's question which provided the title of this book.
Author: Sarah P. Otto
Publisher: Princeton University Press
Release Date: 2011-09-19
Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available
Author: Franklin Richard Nash, Ph.D.
Publisher: CRC Press
Release Date: 2017-07-12
Genre: Business & Economics
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.
Author: L. Bibard
Release Date: 2014-09-15
Genre: Political Science
The book argues that a universally widespread virility currently prevents humans from realizing their sexualities, which are originally the feminine and the masculine. This obstacle may be traced back to Renaissance humanism, whose core intention is to take control over the so-called 'nature."
Nonlinear dynamics has been successful in explaining complicated phenomena in well-defined low-dimensional systems. Now it is time to focus on real-life problems that are high-dimensional or ill-defined, for example, due to delay, spatial extent, stochasticity, or the limited nature of available data. How can one understand the dynamics of such systems? Written by international experts, Nonlinear Dynamics and Chaos: Where Do We Go from Here? assesses what the future holds for dynamics and chaos. The chapters address one or more of the broad and interconnected main themes: neural and biological systems, spatially extended systems, and experimentation in the physical sciences. The contributors offer suggestions as to what they see as the way forward, often in the form of open questions for future research.
Author: Patrick Brady
Publisher: New Paradigm Press (TN)
Release Date: 1994
The deconstructionist, postmodernist era is over & the 1990s are alive with an exciting new, uniquely interdisciplinary avant-garde based on chaos & complexity theory which, in its relationism, holism, & constructionism, is very different from what preceded it. This volume provides the educated reader with a clear, general introduction to this new avant-garde. The criteria for chaos theory are extrapolated from mathematics & physics: firstly, concealed order, self-similarity, nonlinearity, constrained randomness & entropy; secondly, feedback mechanisms & holism; those for complexity theory are emergence & negentropy. The practical application of these criteria to the humanities & social sciences, notably literary theory & criticism & the analysis of culture, is then illustrated by a series of essays on literary works by Robert Frost, Tennessee Williams, & Jean Giono & on the philosophical & anthropological theories of Rene Girard, Michel Serres & others, & a review article on works by N. Katherine Hayles (CHAOS & ORDER), M. Mitchell Waldrop (COMPLEXITY), & Roger Lewin (COMPLEXITY). If you ever wanted to grasp quickly & painlessly the essence of this theory, this is the volume for you. It tells you "everything you ever wanted to know about chaos & complexity theory & were afraid to ask".
Taking our present ignorance of science and technology as a symptom of profound cultural malaise, writer and physicist Joseph Schwartz offers a provocative and fascinating look back into the history of science to find out how it progressively lost touch with the rest of society. Acting as a sort of science critic, Schwartz examines a range of great "creative moments", from seventeenth-century Florence and Galileo (whose decision to describe his theories in mathematical language avoided trouble with the Church, but began the trend to number-worship in physics) to Cold Spring Harbor in 1946 and the invention of molecular biology, which ultimately fostered a way of thinking so restrictive that it may now be imperiling the search for an AIDS cure. Why Einstein's relativity theory is so famously arcane, when it ought not to be....Why the bomb-makers of Los Alamos allowed themselves to be manipulated by the military....Why physicists have come up with almost no new ideas since the 1920s....These are the kinds of questions The Creative Moment tackles and illuminates with a freshness and knowledgeability that is the hallmark of a truly new approach to understanding science and technology.