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Chaos and Fractals: An Elementary Introduction - Paperback - GOOD
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Specificaties
- Objectstaat
- Brand
- Unbranded
- Book Title
- Chaos and Fractals: An Elementary Introduction
- MPN
- Does not apply
- ISBN
- 9780199566440
Over dit product
Product Identifiers
Publisher
Oxford University Press, Incorporated
ISBN-10
0199566445
ISBN-13
9780199566440
eBay Product ID (ePID)
117208509
Product Key Features
Number of Pages
432 Pages
Publication Name
Chaos and Fractals : an Elementary Introduction
Language
English
Subject
Chaotic Behavior in Systems, Geometry / General, Physics / General
Publication Year
2012
Type
Textbook
Subject Area
Mathematics, Science
Format
Uk-Trade Paper
Dimensions
Item Height
0.9 in
Item Weight
32.9 Oz
Item Length
9.7 in
Item Width
7.5 in
Additional Product Features
Intended Audience
Scholarly & Professional
Dewey Edition
23
Reviews
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., "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, Durham University, 'Chaos and fractals are two intertwined concepts that have revolutionized many areas of science and renewed popular interest in mathematics over the past few decades. Feldman's book is a rich resource for anyone who wants a deeper understanding of these subjects without the need for advanced mathematics.'Julien Clinton Sprott, University of Wisconsin-Madison'David P. Feldman provides a delightful and thoughtful introduction to chaos and fractals requiring only a good background in algebra. The formal treatment of nonlinear dynamics, chaotic behavior, Lyapunov exponents, and fractal dimensions is leavened with creative analogies and many helpful and visually attractive figures and diagrams. Even more mathematically sophisticated readers will find this book a good starting point in exploring the complex andbeguiling realms of chaos and fractals.'Robert C. Hilborn, Associate Executive Officer, American Association of Physics Teachers'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, Durham University'The book is very well produced, with excellent diagrams and very informative notes provided beside the main text. It also provides an extensive list of references for further reading.'Scottish Mathematical Council Journal, "David P. Feldman provides a delightful and thoughtful introduction to chaos and fractals requiring only a good background in algebra. The formal treatment of nonlinear dynamics, chaotic behavior, Lyapunov exponents, and fractal dimensions is leavened with creative analogies and many helpfuland visually attractive figures and diagrams. Even more mathematically sophisticated readers will find this book a good starting point in exploring the complex and beguiling realms of chaos and fractals." --Robert C. Hilborn, Associate Executive Officer, American Association of Physics Teachers, "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, Durham University "There is a great deal to like about this book, starting with the author's writing style, which I found particularly clear and enjoyable. ... All in all, this is a very valuable book. ... This is an excellent book and is highly recommended." --Mark Hunacek, MAA Reviews, "Chaos and fractals are two intertwined concepts that have revolutionized many areas of science and renewed popular interest in mathematics over the past few decades. Feldman's book is a rich resource for anyone who wants a deeper understanding of these subjects without the need for advancedmathematics." --Julien Clinton Sprott, University of Wisconsin-Madison
Illustrated
Yes
Dewey Decimal
514.742
Table Of Content
I. Introducing Discrete Dynamical SystemsOpening Remarks1. Functions2. Iterating Functions3. Qualitative Dynamics4. Time Series Plots5. Graphical Iteration6. Iterating Linear Functions7. Population Models8. Newton, Laplace, and DeterminismII. Chaos9. Chaos and the Logistic Equation10. The Buttery Effect11. The Bifurcation Diagram12. Universality13. Statistical Stability of Chaos14. Determinism, Randomness, and NonlinearityIII. Fractals15. Introducing Fractals16. Dimensions17. Random Fractals18. The Box-Counting Dimension19. When do Averages exist?20. Power Laws and Long Tails20. Introducing Julia Sets21. Infinities, Big and SmallIV. Julia Sets and The Mandelbrot Set22. Introducing Julia Sets23. Complex Numbers24. Julia Sets for f(z) = z2 + c25. The Mandelbrot SetV. Higher-Dimensional Systems26. Two-Dimensional Discrete Dynamical Systems27. Cellular Automata28. Introduction to Differential Equations29. One-Dimensional Differential Equations30. Two-Dimensional Differential Equations31. Chaotic Differential Equations and Strange AttractorsVI. Conclusion32. ConclusionVII. AppendicesA. Review of Selected Topics from AlgebraB. Histograms and DistributionsC. Suggestions for Further Reading
Synopsis
This book provides the reader with an elementary introduction to chaos and fractals, suitable for students with a background in elementary algebra, without assuming prior coursework in calculus or physics. It introduces the key phenomena of chaos - aperiodicity, sensitive dependence on initial conditions, bifurcations - via simple iterated functions. Fractals are introduced as self-similar geometric objects and analyzed with the self-similarity and box-counting dimensions. After a brief discussion of power laws, subsequent chapters explore Julia Sets and the Mandelbrot Set. The last part of the book examines two-dimensional dynamical systems, strange attractors, cellular automata, and chaotic differential equations.The book is richly illustrated and includes over 200 end-of-chapter exercises. A flexible format and a clear and succinct writing style make it a good choice for introductory courses in chaos and fractals., For students with a background in elementary algebra, this book provides a vivid introduction to the key phenomena and ideas of chaos and fractals, including the butterfly effect, strange attractors, fractal dimensions, Julia Sets and the Mandelbrot Set, power laws, and cellular automata. The book includes over 200 end-of-chapter exercises., This book provides the reader with an elementary introduction to chaos and fractals, suitable for students with a background in elementary algebra, without assuming prior coursework in calculus or physics. It introduces the key phenomena of chaos - aperiodicity, sensitive dependence on initial conditions, bifurcations - via simple iterated functions. Fractals are introduced as self-similar geometric objects and analyzed with the self-similarity and box-counting dimensions. After a brief discussion of power laws, subsequent chapters explore Julia Sets and the Mandelbrot Set. The last part of the book examines two-dimensional dynamical systems, strange attractors, cellular automata, and chaotic differential equations. The book is richly illustrated and includes over 200 end-of-chapter exercises. A flexible format and a clear and succinct writing style make it a good choice for introductory courses in chaos and fractals. To request a copy of the Solutions Manual, visit: http: //global.oup.com/uk/academic/physics/admin/solutions
LC Classification Number
QA614.86
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