Chaos

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Chaos

Chaos
Author: Kathleen Alligood
Publisher: Springer
ISBN: 3642592813
Size: 37.86 MB
Format: PDF
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BACKGROUND Sir Isaac Newton hrought to the world the idea of modeling the motion of physical systems with equations. It was necessary to invent calculus along the way, since fundamental equations of motion involve velocities and accelerations, of position. His greatest single success was his discovery that which are derivatives the motion of the planets and moons of the solar system resulted from a single fundamental source: the gravitational attraction of the hodies. He demonstrated that the ohserved motion of the planets could he explained hy assuming that there is a gravitational attraction he tween any two ohjects, a force that is proportional to the product of masses and inversely proportional to the square of the distance between them. The circular, elliptical, and parabolic orhits of astronomy were v INTRODUCTION no longer fundamental determinants of motion, but were approximations of laws specified with differential equations. His methods are now used in modeling motion and change in all areas of science. Subsequent generations of scientists extended the method of using differ ential equations to describe how physical systems evolve. But the method had a limitation. While the differential equations were sufficient to determine the behavior-in the sense that solutions of the equations did exist-it was frequently difficult to figure out what that behavior would be. It was often impossible to write down solutions in relatively simple algebraic expressions using a finite number of terms. Series solutions involving infinite sums often would not converge beyond some finite time.
Chaos
Language: en
Pages: 603
Authors: Kathleen Alligood, Tim Sauer, J.A. Yorke
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer
BACKGROUND Sir Isaac Newton hrought to the world the idea of modeling the motion of physical systems with equations. It was necessary to invent calculus along the way, since fundamental equations of motion involve velocities and accelerations, of position. His greatest single success was his discovery that which are derivatives
Emergence
Language: en
Pages: 258
Authors: John H. Holland
Categories: Mathematics
Type: BOOK - Published: 2000 - Publisher: OUP Oxford
We are confronted with emergent systems everywhere and Holland shows how a theory of emergence can predict many complex behaviours in art and science. This book will appeal to scientists and anyone interested in scientific theory.
Quantum Signatures of Chaos
Language: en
Pages: 479
Authors: Fritz Haake
Categories: Science
Type: BOOK - Published: 2001 - Publisher: Springer Science & Business Media
This textbook provides an excellent introduction to a new and rapidly developing field of research. Now well established as a textbook in this rapidly developing field of research, the new edition is much enlarged and covers a host of new results.
Chaos in Classical and Quantum Mechanics
Language: en
Pages: 432
Authors: Martin C. Gutzwiller
Categories: Mathematics
Type: BOOK - Published: 2013-11-27 - Publisher: Springer Science & Business Media
Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is
Red Sonja: Age of Chaos #1
Language: ru
Pages: 33
Authors: Erik Burnham
Categories: Comics & Graphic Novels
Type: BOOK - Published: 2020-01-22 - Publisher: Dynamite Entertainment
The past meets the present with the future of literally everything at stake! The warrior Red Sonja has a plan to keep freshly killed wizard Kulan Gath from resurrecting himself again -- but when the plan backfires, it allows a whole new kind of Chaos! to infest the Hyborean Age!
From Calculus to Chaos
Language: en
Pages: 269
Authors: David Acheson
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: Oxford University Press on Demand
What is calculus really for? This book is a highly readable introduction to applications of calculus, from Newton's time to the present day. These often involve questions of dynamics, i.e., of how--and why--things change with time. Problems of this kind lie at the heart of much of applied mathematics, physics,
Chaos
Language: en
Pages: 416
Authors: Iris Johansen
Categories: Fiction
Type: BOOK - Published: 2020-09-01 - Publisher: Hachette UK
The #1 New York Times bestselling author introduces CIA agent Alisa Flynn, who is willing to go rogue if it means catching the most heartless band of criminals she's ever encountered. When CIA agent Alisa Flynn flaunts the rules by breaking into a mansion in the middle of the night,
From Clocks to Chaos
Language: en
Pages:
Authors: Leon Glass, Michael C. Mackey
Categories: Science
Type: BOOK - Published: 2020-11-10 - Publisher: Princeton University Press
In an important new contribution to the literature of chaos, two distinguished researchers in the field of physiology probe central theoretical questions about physiological rhythms. Topics discussed include: How are rhythms generated? How do they start and stop? What are the effects of perturbation of the rhythms? How are oscillations
Control and Chaos
Language: en
Pages: 333
Authors: Kevin Judd, Alistair Mees, Thomas L. Vincent, Kok L. Teo
Categories: Language Arts & Disciplines
Type: BOOK - Published: 1997-12 - Publisher: Springer Science & Business Media
The articles in this Control and Chaos volume are an outgrowth of a US-Australia workshop held in Hawaii in 1995. Experts in dynamical systems theory and control theory from the US and Australia, as well as England and Japan, focused on the problem of controlling nonlinear and potentially chaotic systems
Chaos and Nonlinear Dynamics
Language: en
Pages: 650
Authors: Robert C. Hilborn, Amanda and Lisa Cross Professor of Physics Robert Hilborn
Categories: Mathematics
Type: BOOK - Published: 2000 - Publisher: Oxford University Press on Demand
Chaos and Nonlinear Dynamics introduces students, scientists, and engineers to the full range of activity in the rapidly growing field on nonlinear dynamics. Using a step-by-step introduction to dynamics and geometry in state space as the central focus of understanding nonlinear dynamics, thisbook includes a thorough treatment of both differential