Fractal and fractional |
Pubbl/distr/stampa | Basel : , : MDPI : , : 2017- |
Descrizione fisica | 1 online resource |
Soggetto topico |
Fractals
Fractales |
Soggetto genere / forma |
Periodicals.
Zeitschrift |
ISSN | 2504-3110 |
Formato | Materiale a stampa |
Livello bibliografico | Periodico |
Lingua di pubblicazione | eng |
Record Nr. | UNISA-996321839403316 |
Basel : , : MDPI : , : 2017- | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Fractal and fractional |
Pubbl/distr/stampa | Basel : , : MDPI : , : 2017- |
Descrizione fisica | 1 online resource |
Soggetto topico |
Fractals
Fractales |
Soggetto genere / forma |
Periodicals.
Zeitschrift |
ISSN | 2504-3110 |
Formato | Materiale a stampa |
Livello bibliografico | Periodico |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910269353403321 |
Basel : , : MDPI : , : 2017- | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Fractal architecture [[electronic resource] ] : organic design philosophy in theory and practice / / James Harris |
Autore | Harris James <1957-> |
Pubbl/distr/stampa | Albuquerque [N.M.], : University of New Mexico Press, 2012 |
Descrizione fisica | 1 online resource (424 p.) |
Disciplina |
704.9
704.9/49514742 720.1 |
Soggetto topico |
Geometry in architecture
Fractals |
Soggetto genere / forma | Electronic books. |
ISBN |
1-283-74163-6
0-8263-5202-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Front Cover; Title Page; Copyright; Contents; Introduction; Part I: Man, Nature, and Architecture; 1: The Journey from Mathematical Monsters to the Key to Nature's Structure; 2: The Human Desire for Nature; 3: Nature's Order and Its Architectural Embodiment; 4: Skyscraper Form and Its Fractal Derivative; Part II: Nature and Human Cognition; 5: Gestalt and the Wholeness of Fractal Structure; 6: Perception and Cognition of Natural Form; 7: The Universal Quality of Fractal Expression; 8: The Abstract Trajectory to the Fractal Modernist Form; Part III: Architecture from Nature
9: Nature's Generative Character10: Elements of Fractal Form; 11: The Fractal Confluence of Science and Art; 12: The Spectrum of Architecture's Relationship to Nature; Notes; Selected Bibliography; Index; Back Cover |
Altri titoli varianti | Organic design philosophy in theory and practice |
Record Nr. | UNINA-9910462390303321 |
Harris James <1957-> | ||
Albuquerque [N.M.], : University of New Mexico Press, 2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Fractal architecture [[electronic resource] ] : organic design philosophy in theory and practice / / James Harris |
Autore | Harris James <1957-> |
Pubbl/distr/stampa | Albuquerque [N.M.], : University of New Mexico Press, 2012 |
Descrizione fisica | 1 online resource (424 p.) |
Disciplina |
704.9
704.9/49514742 720.1 |
Soggetto topico |
Geometry in architecture
Fractals |
ISBN |
1-283-74163-6
0-8263-5202-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Front Cover; Title Page; Copyright; Contents; Introduction; Part I: Man, Nature, and Architecture; 1: The Journey from Mathematical Monsters to the Key to Nature's Structure; 2: The Human Desire for Nature; 3: Nature's Order and Its Architectural Embodiment; 4: Skyscraper Form and Its Fractal Derivative; Part II: Nature and Human Cognition; 5: Gestalt and the Wholeness of Fractal Structure; 6: Perception and Cognition of Natural Form; 7: The Universal Quality of Fractal Expression; 8: The Abstract Trajectory to the Fractal Modernist Form; Part III: Architecture from Nature
9: Nature's Generative Character10: Elements of Fractal Form; 11: The Fractal Confluence of Science and Art; 12: The Spectrum of Architecture's Relationship to Nature; Notes; Selected Bibliography; Index; Back Cover |
Altri titoli varianti | Organic design philosophy in theory and practice |
Record Nr. | UNINA-9910790376503321 |
Harris James <1957-> | ||
Albuquerque [N.M.], : University of New Mexico Press, 2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Fractal architecture : organic design philosophy in theory and practice / / James Harris |
Autore | Harris James <1957-> |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Albuquerque [N.M.], : University of New Mexico Press, 2012 |
Descrizione fisica | 1 online resource (424 p.) |
Disciplina |
704.9
704.9/49514742 720.1 |
Soggetto topico |
Geometry in architecture
Fractals |
ISBN |
1-283-74163-6
0-8263-5202-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Front Cover; Title Page; Copyright; Contents; Introduction; Part I: Man, Nature, and Architecture; 1: The Journey from Mathematical Monsters to the Key to Nature's Structure; 2: The Human Desire for Nature; 3: Nature's Order and Its Architectural Embodiment; 4: Skyscraper Form and Its Fractal Derivative; Part II: Nature and Human Cognition; 5: Gestalt and the Wholeness of Fractal Structure; 6: Perception and Cognition of Natural Form; 7: The Universal Quality of Fractal Expression; 8: The Abstract Trajectory to the Fractal Modernist Form; Part III: Architecture from Nature
9: Nature's Generative Character10: Elements of Fractal Form; 11: The Fractal Confluence of Science and Art; 12: The Spectrum of Architecture's Relationship to Nature; Notes; Selected Bibliography; Index; Back Cover |
Altri titoli varianti | Organic design philosophy in theory and practice |
Record Nr. | UNINA-9910812849403321 |
Harris James <1957-> | ||
Albuquerque [N.M.], : University of New Mexico Press, 2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Fractal functions, fractal surfaces, and wavelets / Peter R. Massopust |
Autore | Massopust, Peter Robert |
Pubbl/distr/stampa | San Diego : Academic Press, c1994 |
Descrizione fisica | xi, 383 p. : ill. (some col.) ; 24 cm. |
Disciplina | 514.742 |
Soggetto topico | Fractals |
ISBN | 0124788408 |
Classificazione |
AMS 28A80
LC QA614.86.M32 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991003679629707536 |
Massopust, Peter Robert | ||
San Diego : Academic Press, c1994 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Fractal geography [[electronic resource] /] / André Dauphiné |
Autore | Dauphiné André |
Pubbl/distr/stampa | London, : ISTE |
Descrizione fisica | 1 online resource (261 p.) |
Disciplina | 910.01/514742 |
Collana | ISTE |
Soggetto topico |
Geography - Mathematics
Fractals |
ISBN |
1-118-60317-6
1-299-18776-5 1-118-60302-8 1-118-60316-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Title Page; Copyright Page; Table of Contents; Introduction; Chapter 1. A Fractal World; 1.1. Fractals pervade into geography; 1.1.1. From geosciences to physical geography; 1.1.2. Urban geography: a big beneficiary; 1.2. Forms of fractal processes; 1.2.1. Some fractal forms that make use of the principle of allometry; 1.2.2. Time series and processes are also fractal; 1.2.3. Rank-size rules are generally fractal structures; 1.3. First reflections on the link between power laws and fractals; 1.3.1. Brief introduction into power laws
1.3.2. Some power laws recognized before the fractal era1.4. Conclusion; Chapter 2. Auto-similar and Self-affine Fractals; 2.1. The rarity of auto-similar terrestrial forms; 2.2. Yet more classes of self-affine fractal forms and processes; 2.2.1. Brownian, fractional Brownian and multi-fractional Brownian motion; 2.2.2. Lévy models; 2.2.3. Four examples of generalizations for simulating realistic forms; 2.3. Conclusion; Chapter 3. From the Fractal Dimension to Multifractal Spectrums; 3.1. Two extensions of the fractal dimension: lacunarity and codimension 3.1.1. Some territorial textures differentiated by their lacunarity3.1.2. Codimension as a relative fractal dimension; 3.2. Some corrections to the power laws: semifractals, parabolicfractals and log-periodic distributions; 3.2.1. Semifractals and double or truncated Pareto distributions; 3.2.2. The parabolic fractal model; 3.2.3. Log-periodic distributions; 3.3. A routine technique in medical imaging: fractal scanning; 3.4. Multifractals used to describe all the irregularities of a setdefined by measurement; 3.4.1. Definition and characteristics of a multifractal 3.4.2. Two functions to interpret: generalized dimension spectrumand singularity spectrum3.4.3. An approach that is classical in geosciences but exceptional in social sciences; 3.4.4. Three potential generalizations; 3.5. Conclusion; Chapter 4. Calculation and Interpretation of Fractal Dimensions; 4.1. Test data representing three categories of fractals: black and white maps, grayscale Landsat images and pluviometric chronicle series; 4.2. A first incontrovertible stage: determination of the fractal classof the geographical phenomenon studied 4.2.1. Successive tests using Fourier or wavelet decompositions4.2.2. Decadal rainfall in Barcelona and Beirut are fractionalGaussian noise; 4.3. Some algorithms for the calculation of the fractal dimensionsof auto-similar objects; 4.3.1. Box counting, information and area measurementdimensions for auto-similar objects; 4.3.2. A geographically inconclusive application from perception; 4.4. The fractal dimensions of objects and self-affine processes; 4.4.1. A multitude of algorithms; 4.4.2. High irregularity of decadal rainfall for Barcelona and Beirut; 4.5. Conclusion Chapter 5. The Fractal Dimensions of Rank-size Distributions |
Record Nr. | UNINA-9910141479203321 |
Dauphiné André | ||
London, : ISTE | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Fractal geography / / André Dauphiné |
Autore | Dauphiné André |
Pubbl/distr/stampa | London, : ISTE |
Descrizione fisica | 1 online resource (261 p.) |
Disciplina | 910.01/514742 |
Collana | ISTE |
Soggetto topico |
Geography - Mathematics
Fractals |
ISBN |
1-118-60317-6
1-299-18776-5 1-118-60302-8 1-118-60316-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Title Page; Copyright Page; Table of Contents; Introduction; Chapter 1. A Fractal World; 1.1. Fractals pervade into geography; 1.1.1. From geosciences to physical geography; 1.1.2. Urban geography: a big beneficiary; 1.2. Forms of fractal processes; 1.2.1. Some fractal forms that make use of the principle of allometry; 1.2.2. Time series and processes are also fractal; 1.2.3. Rank-size rules are generally fractal structures; 1.3. First reflections on the link between power laws and fractals; 1.3.1. Brief introduction into power laws
1.3.2. Some power laws recognized before the fractal era1.4. Conclusion; Chapter 2. Auto-similar and Self-affine Fractals; 2.1. The rarity of auto-similar terrestrial forms; 2.2. Yet more classes of self-affine fractal forms and processes; 2.2.1. Brownian, fractional Brownian and multi-fractional Brownian motion; 2.2.2. Lévy models; 2.2.3. Four examples of generalizations for simulating realistic forms; 2.3. Conclusion; Chapter 3. From the Fractal Dimension to Multifractal Spectrums; 3.1. Two extensions of the fractal dimension: lacunarity and codimension 3.1.1. Some territorial textures differentiated by their lacunarity3.1.2. Codimension as a relative fractal dimension; 3.2. Some corrections to the power laws: semifractals, parabolicfractals and log-periodic distributions; 3.2.1. Semifractals and double or truncated Pareto distributions; 3.2.2. The parabolic fractal model; 3.2.3. Log-periodic distributions; 3.3. A routine technique in medical imaging: fractal scanning; 3.4. Multifractals used to describe all the irregularities of a setdefined by measurement; 3.4.1. Definition and characteristics of a multifractal 3.4.2. Two functions to interpret: generalized dimension spectrumand singularity spectrum3.4.3. An approach that is classical in geosciences but exceptional in social sciences; 3.4.4. Three potential generalizations; 3.5. Conclusion; Chapter 4. Calculation and Interpretation of Fractal Dimensions; 4.1. Test data representing three categories of fractals: black and white maps, grayscale Landsat images and pluviometric chronicle series; 4.2. A first incontrovertible stage: determination of the fractal classof the geographical phenomenon studied 4.2.1. Successive tests using Fourier or wavelet decompositions4.2.2. Decadal rainfall in Barcelona and Beirut are fractionalGaussian noise; 4.3. Some algorithms for the calculation of the fractal dimensionsof auto-similar objects; 4.3.1. Box counting, information and area measurementdimensions for auto-similar objects; 4.3.2. A geographically inconclusive application from perception; 4.4. The fractal dimensions of objects and self-affine processes; 4.4.1. A multitude of algorithms; 4.4.2. High irregularity of decadal rainfall for Barcelona and Beirut; 4.5. Conclusion Chapter 5. The Fractal Dimensions of Rank-size Distributions |
Record Nr. | UNINA-9910825960803321 |
Dauphiné André | ||
London, : ISTE | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Fractal geometry : mathematical foundations and applications / / Kenneth Falconer |
Autore | Falconer K. J. <1952-> |
Edizione | [Third edition.] |
Pubbl/distr/stampa | Hoboken : , : John Wiley & Sons, , 2014 |
Descrizione fisica | 1 online resource (400 p.) |
Disciplina | 514/.742 |
Soggetto topico |
Fractals
Dimension theory (Topology) |
Soggetto genere / forma | Electronic books. |
ISBN |
1-118-76286-X
1-118-76285-1 |
Classificazione | MAT031000 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Title Page; Copyright; Contents; Preface to the first edition; Preface to the second edition; Preface to the third edition; Course suggestions; Introduction; Part I Foundations; Chapter 1 Mathematical background; 1.1 Basic set theory; 1.2 Functions and limits; 1.3 Measures and mass distributions; 1.4 Notes on probability theory; 1.5 Notes and references; Exercises; Chapter 2 Box-counting dimension; 2.1 Box-counting dimensions; 2.2 Properties and problems of box-counting dimension; 2.3 Modified box-counting dimensions; 2.4 Some other definitions of dimension; 2.5 Notes and references
ExercisesChapter 3 Hausdorff and packing measures and dimensions; 3.1 Hausdorff measure; 3.2 Hausdorff dimension; 3.3 Calculation of Hausdorff dimension-simple examples; 3.4 Equivalent definitions of Hausdorff dimension; 3.5 Packing measure and dimensions; 3.6 Finer definitions of dimension; 3.7 Dimension prints; 3.8 Porosity; 3.9 Notes and references; Exercises; Chapter 4 Techniques for calculating dimensions; 4.1 Basic methods; 4.2 Subsets of finite measure; 4.3 Potential theoretic methods; 4.4 Fourier transform methods; 4.5 Notes and references; Exercises Chapter 5 Local structure of fractals5.1 Densities; 5.2 Structure of 1-sets; 5.3 Tangents to s-sets; 5.4 Notes and references; Exercises; Chapter 6 Projections of fractals; 6.1 Projections of arbitrary sets; 6.2 Projections of s-sets of integral dimension; 6.3 Projections of arbitrary sets of integral dimension; 6.4 Notes and references; Exercises; Chapter 7 Products of fractals; 7.1 Product formulae; 7.2 Notes and references; Exercises; Chapter 8 Intersections of fractals; 8.1 Intersection formulae for fractals; 8.2 Sets with large intersection; 8.3 Notes and references; Exercises Part II Applications and ExamplesChapter 9 Iterated function systems-self-similar and self-affine sets; 9.1 Iterated function systems; 9.2 Dimensions of self-similar sets; 9.3 Some variations; 9.4 Self-affine sets; 9.5 Applications to encoding images; 9.6 Zeta functions and complex dimensions; 9.7 Notes and references; Exercises; Chapter 10 Examples from number theory; 10.1 Distribution of digits of numbers; 10.2 Continued fractions; 10.3 Diophantine approximation; 10.4 Notes and references; Exercises; Chapter 11 Graphs of functions; 11.1 Dimensions of graphs 11.2 Autocorrelation of fractal functions11.3 Notes and references; Exercises; Chapter 12 Examples from pure mathematics; 12.1 Duality and the Kakeya problem; 12.2 Vitushkin's conjecture; 12.3 Convex functions; 12.4 Fractal groups and rings; 12.5 Notes and references; Exercises; Chapter 13 Dynamical systems; 13.1 Repellers and iterated function systems; 13.2 The logistic map; 13.3 Stretching and folding transformations; 13.4 The solenoid; 13.5 Continuous dynamical systems; 13.6 Small divisor theory; 13.7 Lyapunov exponents and entropies; 13.8 Notes and references; Exercises Chapter 14 Iteration of complex functions-Julia sets and the Mandelbrot set |
Record Nr. | UNINA-9910453807903321 |
Falconer K. J. <1952-> | ||
Hoboken : , : John Wiley & Sons, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Fractal Geometry : Mathematical Foundations and Applications |
Autore | Falconer Kenneth |
Edizione | [3rd ed.] |
Pubbl/distr/stampa | New York : , : John Wiley & Sons, Incorporated, , 2014 |
Descrizione fisica | 1 online resource (400 pages) |
Disciplina | 514/.742 |
Altri autori (Persone) | FalconerKenneth |
Soggetto topico |
Fractals
Dimension theory (Topology) |
Soggetto genere / forma | Electronic books. |
ISBN |
9781118762851
9781119942399 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover -- Title Page -- Copyright -- Contents -- Preface to the first edition -- Preface to the second edition -- Preface to the third edition -- Course suggestions -- Introduction -- Part I Foundations -- Chapter 1 Mathematical background -- 1.1 Basic set theory -- 1.2 Functions and limits -- 1.3 Measures and mass distributions -- 1.4 Notes on probability theory -- 1.5 Notes and references -- Exercises -- Chapter 2 Box-counting dimension -- 2.1 Box-counting dimensions -- 2.2 Properties and problems of box-counting dimension -- 2.3 Modified box-counting dimensions -- 2.4 Some other definitions of dimension -- 2.5 Notes and references -- Exercises -- Chapter 3 Hausdorff and packing measures and dimensions -- 3.1 Hausdorff measure -- 3.2 Hausdorff dimension -- 3.3 Calculation of Hausdorff dimension-simple examples -- 3.4 Equivalent definitions of Hausdorff dimension -- 3.5 Packing measure and dimensions -- 3.6 Finer definitions of dimension -- 3.7 Dimension prints -- 3.8 Porosity -- 3.9 Notes and references -- Exercises -- Chapter 4 Techniques for calculating dimensions -- 4.1 Basic methods -- 4.2 Subsets of finite measure -- 4.3 Potential theoretic methods -- 4.4 Fourier transform methods -- 4.5 Notes and references -- Exercises -- Chapter 5 Local structure of fractals -- 5.1 Densities -- 5.2 Structure of 1-sets -- 5.3 Tangents to s-sets -- 5.4 Notes and references -- Exercises -- Chapter 6 Projections of fractals -- 6.1 Projections of arbitrary sets -- 6.2 Projections of s-sets of integral dimension -- 6.3 Projections of arbitrary sets of integral dimension -- 6.4 Notes and references -- Exercises -- Chapter 7 Products of fractals -- 7.1 Product formulae -- 7.2 Notes and references -- Exercises -- Chapter 8 Intersections of fractals -- 8.1 Intersection formulae for fractals -- 8.2 Sets with large intersection -- 8.3 Notes and references.
Exercises -- Part II Applications and Examples -- Chapter 9 Iterated function systems-self-similar and self-affine sets -- 9.1 Iterated function systems -- 9.2 Dimensions of self-similar sets -- 9.3 Some variations -- 9.4 Self-affine sets -- 9.5 Applications to encoding images -- 9.6 Zeta functions and complex dimensions -- 9.7 Notes and references -- Exercises -- Chapter 10 Examples from number theory -- 10.1 Distribution of digits of numbers -- 10.2 Continued fractions -- 10.3 Diophantine approximation -- 10.4 Notes and references -- Exercises -- Chapter 11 Graphs of functions -- 11.1 Dimensions of graphs -- 11.2 Autocorrelation of fractal functions -- 11.3 Notes and references -- Exercises -- Chapter 12 Examples from pure mathematics -- 12.1 Duality and the Kakeya problem -- 12.2 Vitushkin's conjecture -- 12.3 Convex functions -- 12.4 Fractal groups and rings -- 12.5 Notes and references -- Exercises -- Chapter 13 Dynamical systems -- 13.1 Repellers and iterated function systems -- 13.2 The logistic map -- 13.3 Stretching and folding transformations -- 13.4 The solenoid -- 13.5 Continuous dynamical systems -- 13.6 Small divisor theory -- 13.7 Lyapunov exponents and entropies -- 13.8 Notes and references -- Exercises -- Chapter 14 Iteration of complex functions-Julia sets and the Mandelbrot set -- 14.1 General theory of Julia sets -- 14.2 Quadratic functions-the Mandelbrot set -- 14.3 Julia sets of quadratic functions -- 14.4 Characterisation of quasi-circles by dimension -- 14.5 Newton's method for solving polynomial equations -- 14.6 Notes and references -- Exercises -- Chapter 15 Random fractals -- 15.1 A random Cantor set -- 15.2 Fractal percolation -- 15.3 Notes and references -- Exercises -- Chapter 16 Brownian motion and Brownian surfaces -- 16.1 Brownian motion in R -- 16.2 Brownian motion in Rn -- 16.3 Fractional Brownian motion. 16.4 Fractional Brownian surfaces -- 16.5 Lévy stable processes -- 16.6 Notes and references -- Exercises -- Chapter 17 Multifractal measures -- 17.1 Coarse multifractal analysis -- 17.2 Fine multifractal analysis -- 17.3 Self-similar multifractals -- 17.4 Notes and references -- Exercises -- Chapter 18 Physical applications -- 18.1 Fractal fingering -- 18.2 Singularities of electrostatic and gravitational potentials -- 18.3 Fluid dynamics and turbulence -- 18.4 Fractal antennas -- 18.5 Fractals in finance -- 18.6 Notes and references -- Exercises -- References -- Index. |
Record Nr. | UNINA-9910795832003321 |
Falconer Kenneth | ||
New York : , : John Wiley & Sons, Incorporated, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|