Chaos A Mathematical Introduction


Chaos A Mathematical Introduction
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Chaos A Mathematical Introduction


Chaos A Mathematical Introduction
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Author : John Banks
language : en
Publisher: Cambridge University Press
Release Date : 2003-05-08

Chaos A Mathematical Introduction written by John Banks and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-08 with Mathematics categories.


Textbook on chaos; class-tested, elementary but rigorous, with applications and lots of pictures and exercises.



Chaos And Chance


Chaos And Chance
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Author : Arno Berger
language : en
Publisher: De Gruyter Textbook
Release Date : 2001

Chaos And Chance written by Arno Berger and has been published by De Gruyter Textbook this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.


"An introductory though mathematically reliable text" that brings together the complementary approaches of the phenomenological theory of chaos, with its focus on complexity and unpredictability, and the statistically oriented ergodic theory. It is intended for advanced undergraduates and beginning graduate students from applied sciences; it requires a sound knowledge of calculus, while some basic experience in measure theory and discrete dynamical systems would be helpful. c. Book News Inc.



Chaos


Chaos
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Author : Kathleen Alligood
language : en
Publisher: Springer
Release Date : 2012-12-06

Chaos written by Kathleen Alligood and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


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


Chaos
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Author :
language : en
Publisher:
Release Date : 2000

Chaos written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Chaotic behavior in systems categories.




Introduction To Chaos


Introduction To Chaos
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Author : H Nagashima
language : en
Publisher: CRC Press
Release Date : 2019-06-06

Introduction To Chaos written by H Nagashima and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-06 with Mathematics categories.


This book focuses on explaining the fundamentals of the physics and mathematics of chaotic phenomena by studying examples from one-dimensional maps and simple differential equations. It is helpful for postgraduate students and researchers in mathematics, physics and other areas of science.



Chaos A Very Short Introduction


Chaos A Very Short Introduction
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Author : Leonard Smith
language : en
Publisher: OUP Oxford
Release Date : 2007-02-22

Chaos A Very Short Introduction written by Leonard Smith and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-22 with Science categories.


Chaos exists in systems all around us. Even the simplest system of cause and effect can be subject to chaos, denying us accurate predictions of its behaviour, and sometimes giving rise to astonishing structures of large-scale order. Our growing understanding of Chaos Theory is having fascinating applications in the real world - from technology to global warming, politics, human behaviour, and even gambling on the stock market. Leonard Smith shows that we all have an intuitive understanding of chaotic systems. He uses accessible maths and physics (replacing complex equations with simple examples like pendulums, railway lines, and tossing coins) to explain the theory, and points to numerous examples in philosophy and literature (Edgar Allen Poe, Chang-Tzu, Arthur Conan Doyle) that illuminate the problems. The beauty of fractal patterns and their relation to chaos, as well as the history of chaos, and its uses in the real world and implications for the philosophy of science are all discussed in this Very Short Introduction. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.



Chaos


Chaos
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Author : Andrew Fowler
language : en
Publisher: Springer Nature
Release Date : 2020-02-06

Chaos written by Andrew Fowler and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-06 with Mathematics categories.


This is a textbook on chaos and nonlinear dynamics, written by applied mathematicians for applied mathematicians. It aims to tread a middle ground between the mathematician's rigour and the physicist’s pragmatism. While the subject matter is now classical and can be found in many other books, what distinguishes this book is its philosophical approach, its breadth, its conciseness, and its exploration of intellectual byways, as well as its liberal and informative use of illustration. Written at the graduate student level, the book occasionally drifts from classical material to explore new avenues of thought, sometimes in the exercises. A key feature of the book is its holistic approach, encompassing the development of the subject since the time of Poincaré, and including detailed material on maps, homoclinic bifurcations, Hamiltonian systems, as well as more eclectic items such as Julia and Mandelbrot sets. Some of the more involved codes to produce the figures are described in the appendix. Based on lectures to upper undergraduates and beginning graduate students, this textbook is ideally suited for courses at this level and each chapter includes a set of exercises of varying levels of difficulty.



An Introduction To Dynamical Systems And Chaos


An Introduction To Dynamical Systems And Chaos
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Author : G. C. Layek
language : en
Publisher: Springer Nature
Release Date :

An Introduction To Dynamical Systems And Chaos written by G. C. Layek and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Chaos


Chaos
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Author : Kathleen T. Alligood
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-09-27

Chaos written by Kathleen T. Alligood and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-27 with Mathematics categories.


Developed and class-tested by a distinguished team of authors at two universities, this text is intended for courses in nonlinear dynamics in either mathematics or physics. The only prerequisites are calculus, differential equations, and linear algebra. Along with discussions of the major topics, including discrete dynamical systems, chaos, fractals, nonlinear differential equations and bifurcations, the text also includes Lab Visits -- short reports that illustrate relevant concepts from the physical, chemical and biological sciences. There are Computer Experiments throughout the text that present opportunities to explore dynamics through computer simulations, designed for use with any software package. And each chapter ends with a Challenge, guiding students through an advanced topic in the form of an extended exercise.



From Calculus To Chaos


From Calculus To Chaos
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Author : David Acheson
language : en
Publisher:
Release Date : 1997

From Calculus To Chaos written by David Acheson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.


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, and engineering. From Calculus to Chaos takes a fresh approach to the subject as a whole, by moving from first steps to the frontiers, and by focusing on the many important and interesting ideas which can get lost amid a snowstorm of detail in conventional texts. The book is aimed at a wide readership, and assumes only some knowledge of elementary calculus. There are exercises (with full solutions) and simple but powerful computer programs which are suitable even for readers with no previous computing experience. David Acheson's book will inspire new students by providing a foretaste of more advanced mathematics and some of its liveliest applications.