Preface to Chaos
Author | : Clinton Hartley Grattan |
Publisher | : |
Total Pages | : 942 |
Release | : 1936 |
Genre | : United States |
ISBN | : |
Download Preface To Chaos full books in PDF, epub, and Kindle. Read online free Preface To Chaos ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author | : Clinton Hartley Grattan |
Publisher | : |
Total Pages | : 942 |
Release | : 1936 |
Genre | : United States |
ISBN | : |
Author | : J. R. Dorfman |
Publisher | : Cambridge University Press |
Total Pages | : 303 |
Release | : 1999-08-28 |
Genre | : Science |
ISBN | : 0521655897 |
Introduction to applications and techniques in non-equilibrium statistical mechanics of chaotic dynamics.
Author | : C. Hartley Grattan |
Publisher | : |
Total Pages | : |
Release | : 1973 |
Genre | : |
ISBN | : 9780849008870 |
Author | : Morris W. Hirsch |
Publisher | : Academic Press |
Total Pages | : 433 |
Release | : 2004 |
Genre | : Business & Economics |
ISBN | : 0123497035 |
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 | : John Banks |
Publisher | : Cambridge University Press |
Total Pages | : 310 |
Release | : 2003-05-08 |
Genre | : Mathematics |
ISBN | : 9780521531047 |
Textbook on chaos; class-tested, elementary but rigorous, with applications and lots of pictures and exercises.
Author | : Leonard Smith |
Publisher | : Oxford University Press, USA |
Total Pages | : 201 |
Release | : 2007-02-22 |
Genre | : Mathematics |
ISBN | : 0192853783 |
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 | : Kathleen Alligood |
Publisher | : Springer |
Total Pages | : 620 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642592813 |
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 | : Jan Froyland |
Publisher | : Routledge |
Total Pages | : 145 |
Release | : 2022-01-26 |
Genre | : Science |
ISBN | : 1351437186 |
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 |
Total Pages | : 180 |
Release | : 2019-06-06 |
Genre | : Mathematics |
ISBN | : 9781420050813 |
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 |
Total Pages | : 432 |
Release | : 2003-12-06 |
Genre | : Mathematics |
ISBN | : 0080491146 |
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