Chapman, Robin.
Images of a Complex World : The Art and Poetry of Chaos. - 1 online resource (195 pages)
Intro -- Contents -- Foreword -- Preface -- Acknowledgements -- Chapter 1 Dynamical Systems -- Dynamical Systems -- Simple or Complex? -- Linear or Nonlinear? -- Chapter 2 Viewing Dynamics -- Where Do We Go Next? (Time Series) -- Chapter 3 Where It All Ends -- Attractors -- Stillness (Fixed Points) -- Endless Repetition (Limit Cycles) -- Doughnuts and Inner Tubes (Tori) -- Strange Attractors (Chaos) -- Chapter 4 Routes to Chaos -- Fork in the Road (Bifurcations) -- Skipping a Beat (Period-doubling) -- On the Edge of Chaos -- Chapter 5 Images of Chaos -- Chaos or Noise? -- Strange Attractors -- Stretching and Moving (Iterated Function Systems) -- Escaping the Attractor (Generalized Julia Sets) -- Chapter 6 Chaos and Predictabitity -- Time's Arrow -- The Butterfly Effect (Sensitive Dependence) -- Chapter 7 Truth and Beauty -- Fractals -- Mirror images -- Flower Petals -- Appendix for the Mathematically Inclined -- Index of Images -- Test Your Understanding -- For Further Reading -- Contents of the CD-ROM -- About the Authors -- Index.
Key Features:A coffee-table book for the general reader curious about concepts of chaos, fractals, and nonlinear dynamic systems in everyday lifeFor art lovers, a unique full-color collection of strange attractors, iterated function systems, and Julia sets selected from computer exploration of billions of versions of only three equationsFor poetry lovers, encounters with nonlinear dynamics in nature and everyday lifeConnects four ways of understanding patterns in chaos: visual art generated from mathematical equations metaphorically connected to poems of everyday experience linked to explanation of key termsIncludes a CD of a 1,000-image slide show, 100 for printing, with 13 poems read by the poet.
9789812775115
Chaotic behavior in systems.
Digital art.
Dynamics.
Fractals.
Mathematics in art.
Mathematics in literature.
Nonlinear theories.
Electronic books.
QA845 -- .C46 2005eb
003.85
Images of a Complex World : The Art and Poetry of Chaos. - 1 online resource (195 pages)
Intro -- Contents -- Foreword -- Preface -- Acknowledgements -- Chapter 1 Dynamical Systems -- Dynamical Systems -- Simple or Complex? -- Linear or Nonlinear? -- Chapter 2 Viewing Dynamics -- Where Do We Go Next? (Time Series) -- Chapter 3 Where It All Ends -- Attractors -- Stillness (Fixed Points) -- Endless Repetition (Limit Cycles) -- Doughnuts and Inner Tubes (Tori) -- Strange Attractors (Chaos) -- Chapter 4 Routes to Chaos -- Fork in the Road (Bifurcations) -- Skipping a Beat (Period-doubling) -- On the Edge of Chaos -- Chapter 5 Images of Chaos -- Chaos or Noise? -- Strange Attractors -- Stretching and Moving (Iterated Function Systems) -- Escaping the Attractor (Generalized Julia Sets) -- Chapter 6 Chaos and Predictabitity -- Time's Arrow -- The Butterfly Effect (Sensitive Dependence) -- Chapter 7 Truth and Beauty -- Fractals -- Mirror images -- Flower Petals -- Appendix for the Mathematically Inclined -- Index of Images -- Test Your Understanding -- For Further Reading -- Contents of the CD-ROM -- About the Authors -- Index.
Key Features:A coffee-table book for the general reader curious about concepts of chaos, fractals, and nonlinear dynamic systems in everyday lifeFor art lovers, a unique full-color collection of strange attractors, iterated function systems, and Julia sets selected from computer exploration of billions of versions of only three equationsFor poetry lovers, encounters with nonlinear dynamics in nature and everyday lifeConnects four ways of understanding patterns in chaos: visual art generated from mathematical equations metaphorically connected to poems of everyday experience linked to explanation of key termsIncludes a CD of a 1,000-image slide show, 100 for printing, with 13 poems read by the poet.
9789812775115
Chaotic behavior in systems.
Digital art.
Dynamics.
Fractals.
Mathematics in art.
Mathematics in literature.
Nonlinear theories.
Electronic books.
QA845 -- .C46 2005eb
003.85