Preface to Chaos PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Preface to Chaos PDF full book. Access full book title Preface to Chaos by Clinton Hartley Grattan. Download full books in PDF and EPUB format.
Author: Clinton Hartley Grattan
Publisher:
ISBN:
Category : United States
Languages : en
Pages : 942
Get Book Here
Book Description
Author: Clinton Hartley Grattan
Publisher:
ISBN:
Category : United States
Languages : en
Pages : 942
Get Book Here
Book Description
Author: J. R. Dorfman
Publisher: Cambridge University Press
ISBN: 0521655897
Category : Science
Languages : en
Pages : 303
Get Book Here
Book Description
Introduction to applications and techniques in non-equilibrium statistical mechanics of chaotic dynamics.
Author: C. Hartley Grattan
Publisher:
ISBN: 9780849008870
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Morris W. Hirsch
Publisher: Academic Press
ISBN: 0123497035
Category : Business & Economics
Languages : en
Pages : 433
Get Book Here
Book Description
Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra. The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of.
Author: Kathleen Alligood
Publisher: Springer
ISBN: 3642592813
Category : Mathematics
Languages : en
Pages : 620
Get Book Here
Book Description
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.
Author: John Banks
Publisher: Cambridge University Press
ISBN: 9780521531047
Category : Mathematics
Languages : en
Pages : 310
Get Book Here
Book Description
Textbook on chaos; class-tested, elementary but rigorous, with applications and lots of pictures and exercises.
Author: Leonard Smith
Publisher: Oxford University Press, USA
ISBN: 0192853783
Category : Mathematics
Languages : en
Pages : 201
Get Book Here
Book Description
Chaos exists in systems all around us. This introduction draws in philosophy, literature, and maths to explain Chaos Theory, showing the variety of its applications in the real world, from technology to global warming, politics, and even gambling on the stock market.
Author: Jan Froyland
Publisher: Routledge
ISBN: 1351437186
Category : Science
Languages : en
Pages : 145
Get Book Here
Book Description
This book provides an introduction to the theory of chaotic systems and demonstrates how chaos and coherence are interwoven in some of the models exhibiting deterministic chaos. It is based on the lecture notes for a short course in dynamical systems theory given at the University of Oslo.
Author: H Nagashima
Publisher: CRC Press
ISBN: 9781420050813
Category : Mathematics
Languages : en
Pages : 180
Get Book Here
Book Description
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.
Author: Morris W. Hirsch
Publisher: Elsevier
ISBN: 0080491146
Category : Mathematics
Languages : en
Pages : 432
Get Book Here
Book Description
Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition, provides a rigorous yet accessible introduction to differential equations and dynamical systems. The original text by three of the world's leading mathematicians has become the standard textbook for graduate courses in this area. Thirty years in the making, this Second Edition brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra. The book explores the dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. It presents the simplification of many theorem hypotheses and includes bifurcation theory throughout. It contains many new figures and illustrations; a simplified treatment of linear algebra; detailed discussions of the chaotic behavior in the Lorenz attractor, the Shil'nikov systems, and the double scroll attractor; and increased coverage of discrete dynamical systems. This book will be particularly useful to advanced students and practitioners in higher mathematics. Developed by award-winning researchers and authors Provides a rigorous yet accessible introduction to differential equations and dynamical systems Includes bifurcation theory throughout Contains numerous explorations for students to embark upon NEW IN THIS EDITION New contemporary material and updated applications Revisions throughout the text, including simplification of many theorem hypotheses Many new figures and illustrations Simplified treatment of linear algebra Detailed discussion of the chaotic behavior in the Lorenz attractor, the Shil'nikov systems, and the double scroll attractor Increased coverage of discrete dynamical systems
