Charts for Prediction and Chance : Dazzling Diagrams on Your Pc (With Cd-Rom).
Başlık:
Charts for Prediction and Chance : Dazzling Diagrams on Your Pc (With Cd-Rom).
Yazar:
Markus, Mario.
ISBN:
9781860948558
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 online resource (300 pages)
İçerik:
Contents -- Preface -- Commentary -- 1. The Useful and the Beautiful -- 2. The "Objet Trouve" in Mathematics -- 3. The Mondrian Experiments -- 4. An Anecdotal Report on Chaos -- 4.1 Twenty years ago -- 4.2 Vertical pluralism -- 4.3 Horizontal pluralism -- 4.4 Surprises contrary to reason -- 5. A Case Submitted to Court -- 6. Calculation of the "Charts for Prediction and Chance" ( -Diagrams) -- 6.1 The Lyapunov exponent -- 6.2 The use of colours and shades of grey -- 6.3 Con guration of the diagrams -- 7. The Significance of Discrete Maps -- 7.1 Processes that are inherently discrete in time -- 7.2 Data obtained from a continuous process at discrete times -- 7.3 Poincar e sections -- 7.4 Analytical integration -- 8. Maps with Scientific Applications -- 8.1 A kicked electronic oscillator -- 8.2 Cardiac oscillations -- 8.3 Turbulent diffusion -- 8.4 A traffic model -- 8.5 The Belousov-Zhabotinsky reaction -- 8.6 The international arms race -- 8.7 The predictor-corrector equation for the kicked rotator -- 8.8 Interdependent economies -- 8.9 Asymmetric economic competition -- 8.10 Economic-ecological feedback in the shing business -- 8.11 Laser pulse in a ring cavity -- 8.12 Periodically driven elements of antiferromagnetic lattices -- 8.13 Periodically driven p-n junctions -- 8.14 Optical bistability in liquid crystals -- 8.15 Host-parasitoid models -- 8.16 Other predator-prey models -- 8.17 The kicked rotator -- 8.18 The buckled beam, Pohl's wheel and Holmes' map -- 9. Maps of Generic Significance -- 9.1 The Gumowski-Mira attractors -- 9.2 The logistic equation -- 9.3 The discontinuous logistic equation -- 9.4 Discontinuity of the slope -- 9.5 The KST-map -- 9.6 The periodically driven Poincar e oscillator -- 9.7 The H enon map -- 9.8 The H enon-Lozi map -- 9.9 The Adams-Bashforth integration procedure -- 9.10 Driven linear systems and the Degn-map.
9.11 Chaos via quasiperiodicity -- 9.12 A map with an arbitrarily large number of coexisting attractors -- 9.13 The Maryland map -- 9.14 Riddled and intermingled basins -- 9.15 Transition between the tent map and the Bernoulli shift -- 9.16 The Kaplan-Yorke map and fractal basin boundaries -- 9.17 Chaos control via phase space compression -- 9.18 The Mandelbrot set -- 9.19 Maps related to strange nonchaotic attractors -- 9.20 The sin2-map -- 9.21 Discontinuous sin2-maps -- 9.22 Other maps -- 10. Are the -Diagrams Fractals? -- 11. What Can We Learn from -Diagrams? -- Acknowledgments -- Appendix A Informal Glossary -- Appendix B Abbreviations -- Appendix C Instructions for the CD-Rom ( -Diagrams on Your PC) -- C.1 General information -- C.2 How to run the calculations and specify what exactly to calculate -- C.3 Setting grey levels or colours -- C.4 Blow-ups, rescalings and rotations -- C.5 How to save, load, or exit, and how to create a personal library -- C.6 Fivefold speed with LIB -- C.7 Larger images -- Bibliography -- Descriptions of the Colour Plates -- Colour Plates -- Index.
Özet:
This innovative book brings together two disciplines - science and art - and enables readers to produce their own computer-generated displays. 44 colour plates and 200 black and white pictures showcase the diagrams that can easily be reproduced using the accompanying CD-ROM. It is possible to create diagrams that indicate predictability or unpredictability of physical, chemical, ecological, mathematical or economic systems. Grey levels and colours indicate the stability of a predictable system, or the extent of unpredictability. In addition, diagrams can be drawn purely for their aesthetic value. Directed both at scientists and laymen, technicians and artists, this combination of book and CD-ROM is the first of its kind. Sample Chapter(s). Chapter 1: The Useful and the Beautiful (63 KB). Download Images as Wallpapers:. Contents: The Useful and the Beautiful; The " Object Trouvé " in Mathematics; The Mondrian Experiments; An Anecdotal Report on Chaos; A Case Submitted to Court; Calculations of the "Charts for Prediction and Chance" (λ-Diagrams); The Significance of Discrete Maps; Maps with Scientific Applications; Maps of Generic Significance; Are the λ-Diagrams Fractals?; What Can We Learn from λ-Diagrams?; Appendices: Informal Glossary; Abbreviations; Instructions for the CD-ROM (λ-Diagrams on Your PC). Readership: Laymen, scientists, computer technicians and computer artists. Suitable for use as an undergraduate textbook in computational science or in computer art.
Notlar:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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