Horizons of fractal geometry and complex dimensions : 2016 Summer School on Fractal Geometry and Complex Dimensions, June 21-29, 2016, California Polytechnic State University, San Luis Obispo, California / / Robert G. Niemeyer [and three others], editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2019] |
Descrizione fisica | 1 online resource (320 pages) |
Disciplina | 514.742 |
Collana | Contemporary mathematics |
Soggetto topico | Fractals |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-5315-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910480392603321 |
Providence, Rhode Island : , : American Mathematical Society, , [2019] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Hypercomplex iterations [[electronic resource] ] : distance estimation and higher dimensional fractals / / Yumei Dang, Louis H. Kauffman, Daniel Sandin |
Autore | Dang Yumei |
Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2002 |
Descrizione fisica | 1 online resource (163 p.) |
Disciplina | 514.742 |
Altri autori (Persone) |
KauffmanLouis H. <1945->
SandinDaniel J |
Collana | K & E series on knots and everything |
Soggetto topico |
Iterative methods (Mathematics)
Quaternions Mandelbrot sets Fractals |
Soggetto genere / forma | Electronic books. |
ISBN | 981-277-860-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Contents ; Acknowledgements ; Preface ; Part 1 Introduction ; Chapter 1 Hypercomplex Iterations in a Nutshell ; Chapter 2 Deterministic Fractals and Distance Estimation ; 2.1. Fractals and Visualization ; 2.2. Deterministic Fractals Julia Sets and Mandelbrot Sets
2.3. Distance Estimation Part 2 Classical Analysis: Complex and Quaternionic ; Chapter 3 Distance Estimation in Complex Space ; 3.1. Complex Dynamical Systems ; 3.2. The Quadratic Family Julia Sets and the Mandelbrot Set ; 3.3. The Distance Estimation Formula 3.4. Schwarz's Lemma and an Upper Bound of the Distance Estimate 3.5. The Koebe 1/4 Theorem and a Lower Bound for the Distance Estimate ; 3.6. An Approximation of the Distance Estimation Formula ; Chapter 4 Quaternion Analysis ; 4.1. The Quaternions ; 4.2. Rotations of 3-Space 4.3. Quaternion Polynomials 4.4. Quaternion Julia Sets and Mandelbrot Sets ; 4.5. Differential Forms ; 4.6. Regular Functions ; 4.7. Cauchy's Theorem and the Integral Formula ; 4.8. Linear and Quadratic Regular Functions 4.9. Difficulties of the Quaternion Analytic Proof of Distance Estimation Chapter 5 Quaternions and the Dirac String Trick ; Part 3 Hypercomplex Iterations ; Chapter 6 Quaternion Mandelbrot Sets ; 6.1. Quaternion Mandelbrot Sets 6.2. The Distance Estimate for Quaternion Mandelbrot Sets |
Record Nr. | UNINA-9910451677103321 |
Dang Yumei | ||
Singapore ; ; River Edge, NJ, : World Scientific, c2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Hypercomplex iterations [[electronic resource] ] : distance estimation and higher dimensional fractals / / Yumei Dang, Louis H. Kauffman, Daniel Sandin |
Autore | Dang Yumei |
Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2002 |
Descrizione fisica | 1 online resource (163 p.) |
Disciplina | 514.742 |
Altri autori (Persone) |
KauffmanLouis H. <1945->
SandinDaniel J |
Collana | K & E series on knots and everything |
Soggetto topico |
Iterative methods (Mathematics)
Quaternions Mandelbrot sets Fractals |
ISBN | 981-277-860-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Contents ; Acknowledgements ; Preface ; Part 1 Introduction ; Chapter 1 Hypercomplex Iterations in a Nutshell ; Chapter 2 Deterministic Fractals and Distance Estimation ; 2.1. Fractals and Visualization ; 2.2. Deterministic Fractals Julia Sets and Mandelbrot Sets
2.3. Distance Estimation Part 2 Classical Analysis: Complex and Quaternionic ; Chapter 3 Distance Estimation in Complex Space ; 3.1. Complex Dynamical Systems ; 3.2. The Quadratic Family Julia Sets and the Mandelbrot Set ; 3.3. The Distance Estimation Formula 3.4. Schwarz's Lemma and an Upper Bound of the Distance Estimate 3.5. The Koebe 1/4 Theorem and a Lower Bound for the Distance Estimate ; 3.6. An Approximation of the Distance Estimation Formula ; Chapter 4 Quaternion Analysis ; 4.1. The Quaternions ; 4.2. Rotations of 3-Space 4.3. Quaternion Polynomials 4.4. Quaternion Julia Sets and Mandelbrot Sets ; 4.5. Differential Forms ; 4.6. Regular Functions ; 4.7. Cauchy's Theorem and the Integral Formula ; 4.8. Linear and Quadratic Regular Functions 4.9. Difficulties of the Quaternion Analytic Proof of Distance Estimation Chapter 5 Quaternions and the Dirac String Trick ; Part 3 Hypercomplex Iterations ; Chapter 6 Quaternion Mandelbrot Sets ; 6.1. Quaternion Mandelbrot Sets 6.2. The Distance Estimate for Quaternion Mandelbrot Sets |
Record Nr. | UNINA-9910778372903321 |
Dang Yumei | ||
Singapore ; ; River Edge, NJ, : World Scientific, c2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Hypercomplex iterations [[electronic resource] ] : distance estimation and higher dimensional fractals / / Yumei Dang, Louis H. Kauffman, Daniel Sandin |
Autore | Dang Yumei |
Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2002 |
Descrizione fisica | 1 online resource (163 p.) |
Disciplina | 514.742 |
Altri autori (Persone) |
KauffmanLouis H. <1945->
SandinDaniel J |
Collana | K & E series on knots and everything |
Soggetto topico |
Iterative methods (Mathematics)
Quaternions Mandelbrot sets Fractals |
ISBN | 981-277-860-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Contents ; Acknowledgements ; Preface ; Part 1 Introduction ; Chapter 1 Hypercomplex Iterations in a Nutshell ; Chapter 2 Deterministic Fractals and Distance Estimation ; 2.1. Fractals and Visualization ; 2.2. Deterministic Fractals Julia Sets and Mandelbrot Sets
2.3. Distance Estimation Part 2 Classical Analysis: Complex and Quaternionic ; Chapter 3 Distance Estimation in Complex Space ; 3.1. Complex Dynamical Systems ; 3.2. The Quadratic Family Julia Sets and the Mandelbrot Set ; 3.3. The Distance Estimation Formula 3.4. Schwarz's Lemma and an Upper Bound of the Distance Estimate 3.5. The Koebe 1/4 Theorem and a Lower Bound for the Distance Estimate ; 3.6. An Approximation of the Distance Estimation Formula ; Chapter 4 Quaternion Analysis ; 4.1. The Quaternions ; 4.2. Rotations of 3-Space 4.3. Quaternion Polynomials 4.4. Quaternion Julia Sets and Mandelbrot Sets ; 4.5. Differential Forms ; 4.6. Regular Functions ; 4.7. Cauchy's Theorem and the Integral Formula ; 4.8. Linear and Quadratic Regular Functions 4.9. Difficulties of the Quaternion Analytic Proof of Distance Estimation Chapter 5 Quaternions and the Dirac String Trick ; Part 3 Hypercomplex Iterations ; Chapter 6 Quaternion Mandelbrot Sets ; 6.1. Quaternion Mandelbrot Sets 6.2. The Distance Estimate for Quaternion Mandelbrot Sets |
Record Nr. | UNINA-9910818582103321 |
Dang Yumei | ||
Singapore ; ; River Edge, NJ, : World Scientific, c2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Images of a complex world [[electronic resource] ] : the art and poetry of chaos / / Robin Chapman, Julien Clinton Sprott ; foreword by Clifford A. Pickover |
Autore | Chapman Robin S |
Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2005 |
Descrizione fisica | 1 online resource (195 p.) |
Disciplina | 003/.857 |
Altri autori (Persone) | SprottJulien C |
Soggetto topico |
Dynamics
Chaotic behavior in systems Fractals Nonlinear theories Mathematics in art Mathematics in literature Digital art |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-92792-9
9786611927929 981-277-511-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Foreword; Preface; Acknowledgements; Contents; 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 |
Record Nr. | UNINA-9910453689503321 |
Chapman Robin S | ||
River Edge, NJ, : World Scientific, c2005 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Images of a complex world [[electronic resource] ] : the art and poetry of chaos / / Robin Chapman, Julien Clinton Sprott ; foreword by Clifford A. Pickover |
Autore | Chapman Robin S |
Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2005 |
Descrizione fisica | 1 online resource (195 p.) |
Disciplina | 003/.857 |
Altri autori (Persone) | SprottJulien C |
Soggetto topico |
Dynamics
Chaotic behavior in systems Fractals Nonlinear theories Mathematics in art Mathematics in literature Digital art |
ISBN |
1-281-92792-9
9786611927929 981-277-511-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Foreword; Preface; Acknowledgements; Contents; 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 |
Record Nr. | UNINA-9910782223203321 |
Chapman Robin S | ||
River Edge, NJ, : World Scientific, c2005 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Images of a complex world [[electronic resource] ] : the art and poetry of chaos / / Robin Chapman, Julien Clinton Sprott ; foreword by Clifford A. Pickover |
Autore | Chapman Robin S |
Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2005 |
Descrizione fisica | 1 online resource (195 p.) |
Disciplina | 003/.857 |
Altri autori (Persone) | SprottJulien C |
Soggetto topico |
Dynamics
Chaotic behavior in systems Fractals Nonlinear theories Mathematics in art Mathematics in literature Digital art |
ISBN |
1-281-92792-9
9786611927929 981-277-511-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Foreword; Preface; Acknowledgements; Contents; 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 |
Record Nr. | UNINA-9910814091103321 |
Chapman Robin S | ||
River Edge, NJ, : World Scientific, c2005 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Indra's pearls : the vision of Felix Klein / / David Mumford, Caroline Series, and David Wright ; with cartoons by Larry Gonick [[electronic resource]] |
Autore | Mumford David <1937-> |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2002 |
Descrizione fisica | 1 online resource (xix, 395 pages) : digital, PDF file(s) |
Disciplina | 514/.742 |
Soggetto topico | Fractals |
ISBN |
1-107-71306-4
0-511-05897-7 1-107-71268-8 0-511-06743-7 1-107-71814-7 0-511-06530-2 1-107-05005-7 0-511-15720-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | The language of symmetry -- A delightful fiction -- Double spirals and Möbius maps -- The Schottky dance -- Fractal dust and infinite words -- Indra's necklace -- The glowing gasket -- Playing with parameters -- Accidents will happen -- Between the cracks -- Crossing boundaries -- Epilogue -- Index -- Road map. |
Record Nr. | UNINA-9910449939603321 |
Mumford David <1937-> | ||
Cambridge : , : Cambridge University Press, , 2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Indra's pearls : the vision of Felix Klein / / David Mumford, Caroline Series, and David Wright ; with cartoons by Larry Gonick [[electronic resource]] |
Autore | Mumford David <1937-> |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2002 |
Descrizione fisica | 1 online resource (xix, 395 pages) : digital, PDF file(s) |
Disciplina | 514/.742 |
Soggetto topico | Fractals |
ISBN |
1-107-71306-4
0-511-05897-7 1-107-71268-8 0-511-06743-7 1-107-71814-7 0-511-06530-2 1-107-05005-7 0-511-15720-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | The language of symmetry -- A delightful fiction -- Double spirals and Möbius maps -- The Schottky dance -- Fractal dust and infinite words -- Indra's necklace -- The glowing gasket -- Playing with parameters -- Accidents will happen -- Between the cracks -- Crossing boundaries -- Epilogue -- Index -- Road map. |
Record Nr. | UNINA-9910783070103321 |
Mumford David <1937-> | ||
Cambridge : , : Cambridge University Press, , 2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Indra's pearls : the vision of Felix Klein / / David Mumford, Caroline Series, and David Wright ; with cartoons by Larry Gonick [[electronic resource]] |
Autore | Mumford David <1937-> |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2002 |
Descrizione fisica | 1 online resource (xix, 395 pages) : digital, PDF file(s) |
Disciplina | 514/.742 |
Soggetto topico | Fractals |
ISBN |
1-107-71306-4
0-511-05897-7 1-107-71268-8 0-511-06743-7 1-107-71814-7 0-511-06530-2 1-107-05005-7 0-511-15720-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | The language of symmetry -- A delightful fiction -- Double spirals and Möbius maps -- The Schottky dance -- Fractal dust and infinite words -- Indra's necklace -- The glowing gasket -- Playing with parameters -- Accidents will happen -- Between the cracks -- Crossing boundaries -- Epilogue -- Index -- Road map. |
Record Nr. | UNINA-9910822774303321 |
Mumford David <1937-> | ||
Cambridge : , : Cambridge University Press, , 2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|