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Books > Science & Mathematics > Mathematics > Applied mathematics > Chaos theory
Chaos is the study of the underlying determinism in the seemingly
random phenomena that occur all around us. One of the best
experimental demonstrations of chaos occurs in electrical circuits
when the parameters are chosen carefully. We will show you how to
construct such chaotic circuits for use in your own studies and
demonstrations while teaching you the basics of chaos.This book
should be of interest to researchers and hobbyists looking for a
simple way to produce a chaotic signal. It should also be useful to
students and their instructors as an engaging way to learn about
chaotic dynamics and electronic circuits. The book assumes only an
elementary knowledge of calculus and the ability to understand a
schematic diagram and the components that it contains.You will get
the most out of this book if you can construct the circuits for
yourself. There is no substitute for the thrill and insight of
seeing the output of a circuit you built unfold as the trajectory
wanders in real time across your oscilloscope screen. A goal of
this book is to inspire and delight as well as to teach.
Galileo Unbound traces the journey that brought us from Galileo's
law of free fall to today's geneticists measuring evolutionary
drift, entangled quantum particles moving among many worlds, and
our lives as trajectories traversing a health space with thousands
of dimensions. Remarkably, common themes persist that predict the
evolution of species as readily as the orbits of planets or the
collapse of stars into black holes. This book tells the history of
spaces of expanding dimension and increasing abstraction and how
they continue today to give new insight into the physics of complex
systems. Galileo published the first modern law of motion, the Law
of Fall, that was ideal and simple, laying the foundation upon
which Newton built the first theory of dynamics. Early in the
twentieth century, geometry became the cause of motion rather than
the result when Einstein envisioned the fabric of space-time warped
by mass and energy, forcing light rays to bend past the Sun.
Possibly more radical was Feynman's dilemma of quantum particles
taking all paths at once - setting the stage for the modern fields
of quantum field theory and quantum computing. Yet as concepts of
motion have evolved, one thing has remained constant, the need to
track ever more complex changes and to capture their essence, to
find patterns in the chaos as we try to predict and control our
world.
This book is devoted to the problems involved in modern human diet,
as it changes from the time of the Neolithic revolution some 12,000
years ago and have a great impact on human health. The book offers
an entirely new concept of the genome, cells and body interaction
which explains the increase in population of the degenerative
diseases frequency such as cancer, diabetes and many others.
Systematic approach to the genome and its interaction with food
formalized as the work of a strange attractor metabolism. This
approach points to new direction for the study of metabolism of
food and the importance of general principles associated with life
origin and existence of living matter. The book is useful to anyone
interested in issues of nutrition and provides an invaluable tool
to assess the superfoods and dietary supplements in various
commercial forms available on the market. In addition, this book
will help understand the quality of the products offered in
supermarkets and to develop proper dieting strategy to each section
of population. After reading this book, anyone can become a
professional in matters of food and diets, and to conduct itself
independent research in this area.
"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 completely new chapters
on the prediction and control of chaotic systems. It also
incorporates new information regarding the solar system and an
account of complexity theory. This text aims to make the complex
mathematics of chaos accessible and entertaining.
This is a comprehensive introduction to the exciting scientific field of nonlinear dynamics for students, scientists, and engineers, and requires only minimal prerequisites in physics and mathematics. The book treats all the important areas in the field and provides an extensive and up-to-date bibliography of applications in all fields of science, social science, economics, and even the arts.
There is a growing interest on the part of undergraduate and graduate students and investigators in applying fractals and chaos (nonlinear dynamics) to a variety of problems in biology and medicine. This book explains fractals and chaos and illustrates their use with examples from biomedical research. The author presents the material in a unique style that doesn't require a strong background in mathematics. The ideas are presented in a straightforward way without technical jargon. One concept at a time is explained in a set of facing pages, with text on the left page and graphics on the right page. The graphics pages can be copied directly on to transparencies for teaching.
Chaos theory challenges the presumption that the cosmos is
orderly, linear, and predictable--but it does not imply pure
randomness and chance events. Rather, chaos-informed postmodernist
analysis introduces a new vision by celebrating unexpected,
surprise, ironic, contradictory, and emergent elements. Scholars in
many disciplines are taking this perspective as an alternative to
the entrenched structural functionalism and empiricism rooted in
linear science. In the early 1990s studies began to emerge applying
chaos theory to criminology, law, and social change. This book
brings together some of the key thinkers in these areas. Part I
situates chaos theory as a constitutive thread in contemporary
critical thought in criminology and law. It seeks to provide the
reader with a sensitivity to how chaos theory fits within the
postmodern perspective and an understanding of its conceptual
tools. Part II comprises chapters on applying the chaos perspective
to critical criminology and law and, beyond, to peacemaking. Part
III presents studies in chaos-informed perspectives on new social
movement theory, social change, and the development of social
justice. While the book emphasizes the usefulness of the conceptual
tools of chaos theory in critical criminology and law, its ultimate
goal goes beyond theory-building to provide vistas for
understanding the contemporary social scene and for the development
of the new just society.
"Chaos Theory" is a revolutionary approach to understanding and
forecasting the behavior of complex systems. The theory, which
utilizes nonlinear mathematics to identify the underlying rules of
evolving systems, provides extraordinary insights into the dynamics
of the financial markets. In so doing, Dr. Chorafas explores a
variety of new approaches that provide an entirely new perspective
on financial market analysis and forecasting. Topics in this book
include: the concepts and mathematics of chaos theory; using
nonlinear equations and fractals to forecast the currency market;
genetic algorithms and neural networks.
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