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OverviewFull Product DetailsAuthor: David P. Feldman (Department od Physics and Mathematics, College of the Atlantic, Bar Harbor, Maine, USA)Publisher: Oxford University Press Imprint: Oxford University Press Dimensions: Width: 19.50cm , Height: 2.70cm , Length: 24.80cm Weight: 0.001kg ISBN: 9780199566433ISBN 10: 0199566437 Pages: 432 Publication Date: 09 August 2012 Audience: College/higher education , Tertiary & Higher Education Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsI. Introducing Discrete Dynamical Systems 0: Opening Remarks 1: Functions 2: Iterating Functions 3: Qualitative Dynamics 4: Time Series Plots 5: Graphical Iteration 6: Iterating Linear Functions 7: Population Models 8: Newton, Laplace, and Determinism II. Chaos 9: Chaos and the Logistic Equation 10: The Buttery Effect 11: The Bifurcation Diagram 12: Universality 13: Statistical Stability of Chaos 14: Determinism, Randomness, and Nonlinearity III. Fractals 15: Introducing Fractals 16: Dimensions 17: Random Fractals 18: The Box-Counting Dimension 19: When do Averages exist? 20: Power Laws and Long Tails 20: Introducing Julia Sets 21: Infinities, Big and Small IV. Julia Sets and The Mandelbrot Set 22: Introducing Julia Sets 23: Complex Numbers 24: Julia Sets for f(z) = z2 + c 25: The Mandelbrot Set V. Higher-Dimensional Systems 26: Two-Dimensional Discrete Dynamical Systems 27: Cellular Automata 28: Introduction to Differential Equations 29: One-Dimensional Differential Equations 30: Two-Dimensional Differential Equations 31: Chaotic Differential Equations and Strange Attractors VI. Conclusion 32: Conclusion VII. Appendices A: Review of Selected Topics from Algebra B: Histograms and Distributions C: Suggestions for Further ReadingReviewsFor the right audience and instructor, this is a wonderful book. With considerable effort on both sides it can take a wide audience with modest mathematics to a reasonable understanding of what is behind much of the complex phenomena seen in modern mathematical models of the physical universe. Thomas B. Ward, Zentralblatt MATH The style of writing is easy on the reader. The explanations are clear and illustrated with many diagrams and side notes. ...[Feldman] has produced an excellent book. John Sykes, Mathematics in School The only textbook on chaos and fractals for non-science and mathematics majors. Covers central phenomena and ideas of chaos and fractals in a careful, intellectually honest, but accessible way. L'Einsegnement Mathematique (2) 59 Falconer's book is excellent in many respects and the reviewer strongly recommends it. May every university library own a copy, or three! And if you're a student reading this, go check it out today! Tushar Das This is an excellent book, and is highly recommended. Mark Hunacek For the right audience and instructor, this is a wonderful book. With considerable effort on both sides it can take a wide audience with modest mathematics to a reasonable understanding of what is behind much of the complex phenomena seen in modern mathematical models of the physical universe. Thomas B. Ward, Zentralblatt MATH Author InformationDavid Feldman joined the faculty at College of the Atlantic in 1998, having completed a PhD in Physics at the University of California. He served as Associate Dean for Academic Affairs from 2003 - 2007. At COA Feldman has taught over twenty different courses in physics, mathematics, and computer science. Feldman's research interests lie in the fields of statistical mechanics and nonlinear dynamics. In his research, he uses both analytic and computational techniques. Feldman has authored research papers in journals including Physical Review E, Chaos, and Advances in Complex Systems. In 2011-12 he was a U.S. Fulbright Lecturer in Kigali, Rwanda. Tab Content 6Author Website:Countries AvailableAll regions |
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