Tag: Fractals

Free Download Fractals in the Earth Sciences By D. L. Turcotte, J. Huang (auth.), Christopher C. Barton, Paul R. La Pointe (eds.)
1995 | 265 Pages | ISBN: 1489913998 | PDF | 10 MB
Fractals have changed the way we understand and study nature. This change has been brought about mainly by the work of B. B. Mandelbrot and his book The Fractal Geometry of Nature. Now here is a book that collects articles treating fractals in the earth sciences. The themes chosen span, as is appropriate for a discourse on fractals, many orders of magnitude; including earthquakes, ocean floor topography, fractures, faults, mineral crystallinity, gold and silver deposition. There are also chapters on dynamical processes that are fractal, such as rivers, earthquakes, and a paper on self-organized criticality. Many of the chapters discuss how to estimate fractal dimensions, Hurst exponents, and other scaling exponents. This book, in a way, represents a snapshot of a field in which fractals has brought inspiration and a fresh look at familiar subjects. New ideas and attempts to quantify the world we see around us are found throughout. Many of these ideas will grow and inspire further work, others will be superseded by new observations and insights, most probably with future contributions by the authors of these chapters.

Free Download Further Developments in Fractals and Related Fields: Mathematical Foundations and Connections By Pierre Arnoux, à těpán Starosta (auth.), Julien Barral, Stéphane Seuret (eds.)
2013 | 288 Pages | ISBN: 0817683992 | PDF | 4 MB
This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, "Fractals and Related Fields II," held in June 2011. The book provides readers with an overview of developments in the mathematical fields related to fractals, including original research contributions as well as surveys from many of the leading experts on modern fractal theory and applications. The chapters cover fields related to fractals such as:*geometric measure theory*ergodic theory*dynamical systems*harmonic and functional analysis*number theory*probability theoryFurther Developments in Fractals and Related Fields is aimed at pure and applied mathematicians working in the above-mentioned areas as well as other researchers interested in discovering the fractal domain. Throughout the volume, readers will find interesting and motivating results as well as new avenues for further research.

Free Download Fractals, Diffusion, and Relaxation in Disordered Complex Systems: Advances in Chemical Physics, Part B, Volume 133 By Stuart A. Rice(eds.)
2006 | 743 Pages | ISBN: 0471725080 | PDF | 9 MB
Fractals, Diffusion and Relaxation in Disordered Complex Systems is a special guest-edited, two-part volume of Advances in Chemical Physics that continues to report recent advances with significant, up-to-date chapters by internationally recognized researchers.Content: Chapter 6 Fractal Physiology, Complexity, and the Fractional Calculus (pages 1-92): Bruce J. WestChapter 7 Physical Properties of Fractal Structures (pages 93-284): Vitaly V. NovikovChapter 8 Fractional Rotational Diffusion and Anomalous Dielectric Relaxation in Dipole Systems (pages 285-437): William T. Coffey, Yuri P. Kalmykov and Sergey V. TitovChapter 9 Fundamentals of Levy Flight Processes (pages 439-496): Aleksei V. Chechkin, Vsevolod Y. Gonchar, Joseph Klafter and Ralf MetzlerChapter 10 Dispersion of the Structural Relaxation and the Vitrification of Liquids (pages 497-593): Kia L. Ngai, Riccardo Casalini, Simone Capaccioli, Marian Paluch and C. M. RolandChapter 11 Molecular Dynamics in Thin Polymer Films (pages 595-632): Anatoli Serghei and Friedrich Kremer

Free Download Fractals of Society: Repetition on Different Scales by Anelly Aya
English | April 26, 2024 | ISBN: N/A | ASIN: B0D2TLTPCQ | 62 pages | EPUB | 1.86 Mb
"Fractals of Society: Repetition on Different Scales" is a captivating exploration of the intricate patterns and complexities that shape human society. Through the lens of fractal dynamics, the book delves into the interconnectedness of various societal phenomena, from individual behaviors to global systems.

Free Download Fractals for the Classroom Part Two: Complex Systems and Mandelbrot Set by Heinz-Otto Peitgen , Hartmut Jürgens , Dietmar Saupe
English | PDF | 1992 | 513 Pages | ISBN : 0387977228 | 29.5 MB
Fractals for the Classroom breaks new ground as it brings an exciting branch of mathematics into the classroom. The book is a collection of independent chapters on the major concepts related to the science and mathematics of fractals. Written at the mathematical level of an advanced secondary student, Fractals for the Classroom includes many fascinating insights for the classroom teacher and integrates illustrations from a wide variety of applications with an enjoyable text to help bring the concepts alive and make them understandable to the average reader. This book will have a tremendous impact upon teachers, students, and the mathematics education of the general public. With the forthcoming companion materials, including four books on strategic classroom activities and lessons with interactive computer software, this package will be unparalleled.

Free Download Fractals for the Classroom Part Two: Complex Systems and Mandelbrot Set by Heinz-Otto Peitgen , Hartmut Jürgens , Dietmar Saupe
English | PDF | 1992 | 513 Pages | ISBN : 0387977228 | 29.5 MB
Fractals for the Classroom breaks new ground as it brings an exciting branch of mathematics into the classroom. The book is a collection of independent chapters on the major concepts related to the science and mathematics of fractals. Written at the mathematical level of an advanced secondary student, Fractals for the Classroom includes many fascinating insights for the classroom teacher and integrates illustrations from a wide variety of applications with an enjoyable text to help bring the concepts alive and make them understandable to the average reader. This book will have a tremendous impact upon teachers, students, and the mathematics education of the general public. With the forthcoming companion materials, including four books on strategic classroom activities and lessons with interactive computer software, this package will be unparalleled.

Free Download Chaos and Fractals: New Frontiers of Science by Heinz-Otto Peitgen
English | PDF | 1992 | 1013 Pages | ISBN : 0387202293 | 98.66 MB
For almost 15 years chaos and fractals have been riding a wave that has enveloped many areas of mathematics and the natural sciences in its power, creativity and expanse. Traveling far beyond the traditional bounds of mathematics and science to the distant shores of popular culture, this wave captures the attention and enthusiasm of a worldwide audience.

Free Download Fractals in Graz 2001 Analysis – Dynamics – Geometry – Stochastics by Peter Grabner, Wolfgang Woess
English | PDF (True) | 2003 | 288 Pages | ISBN : 3764370068 | 26.9 MB
This book contains the proceedings of the conference "Fractals in Graz 2001 – Analysis, Dynamics, Geometry, Stochastics" that was held in the second week of June 2001 at Graz University of Technology, in the capital of Styria, southeastern province of Austria. The scientific committee of the meeting consisted of M. Barlow (Vancouver), R. Strichartz (Ithaca), P. Grabner and W. Woess (both Graz), the latter two being the local organizers and editors of this volume. We made an effort to unite in the conference as well as in the present pro ceedings a multitude of different directions of active current work, and to bring together researchers from various countries as well as research fields that all are linked in some way with the modern theory of fractal structures. Although (or because) in Graz there is only a very small group working on fractal structures, consisting of "non-insiders", we hope to have been successful with this program of wide horizons. All papers were written upon explicit invitation by the editors, and we are happy to be able to present this representative panorama of recent work on poten tial theory, random walks, spectral theory, fractal groups, dynamic systems, fractal geometry, and more. The papers presented here underwent a refereeing process.

Free Download Kitchen Science Fractals: A Lab Manual for Fractal Geometry by Michael Frame, Nial Neger
English | November 17, 2021 | ISBN: 9811218455 | 468 pages | MOBI | 28 Mb
This book provides a collection of 44 simple computer and physical laboratory experiments, including some for an artist’s studio and some for a kitchen, that illustrate the concepts of fractal geometry. In addition to standard topics – iterated function systems (IFS), fractal dimension computation, the Mandelbrot set – we explore data analysis by driven IFS, construction of four-dimensional fractals, basic multifractals, synchronization of chaotic processes, fractal finger paints, cooking fractals, videofeedback, and fractal networks of resistors and oscillators.

Free Download From Classical Analysis to Analysis on Fractals: A Tribute to Robert Strichartz, Volume 1 by Patricia Alonso Ruiz, Michael Hinz, Kasso A. Okoudjou, Luke G. Rogers, Alexander Teplyaev
English | PDF EPUB (True) | 2023 | 294 Pages | ISBN : 3031377990 | 35.9 MB
Over the course of his distinguished career, Robert Strichartz (1943-2021) had a substantial impact on the field of analysis with his deep, original results in classical harmonic, functional, and spectral analysis, and in the newly developed analysis on fractals. This is the first volume of a tribute to his work and legacy, featuring chapters that reflect his mathematical interests, written by his colleagues and friends. An introductory chapter summarizes his broad and varied mathematical work and highlights his profound contributions as a mathematical mentor. The remaining articles are grouped into three sections – functional and harmonic analysis on Euclidean spaces, analysis on manifolds, and analysis on fractals – and explore Strichartz’ contributions to these areas, as well as some of the latest developments.