Download or read book Fractal Worlds written by Michael Frame and published by Yale University Press. This book was released on 2016-06-21 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal geometry is a uniquely fascinating area of mathematics, exhibited in a range of shapes that exist in the natural world, from a simple broccoli floret to a majestic mountain range. In this essential primer, mathematician Michael Frame—a close collaborator with Benoit Mandelbrot, the founder of fractal geometry—and poet Amelia Urry explore the amazing world of fractals as they appear in nature, art, medicine, and technology. Frame and Urry offer new insights into such familiar topics as measuring fractal complexity by dimension and the life and work of Mandelbrot. In addition, they delve into less-known areas: fractals with memory, the Mandelbrot set in four dimensions, fractals in literature, and more. An inviting introduction to an enthralling subject, this comprehensive volume is ideal for learning and teaching.
Download or read book Encompassing a Fractal World written by Gil Daryn and published by Lexington Books. This book was released on 2006 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Encompassing a Fractal World presents a groundbreaking, innovative paradigm which opens up new perspectives for understanding and analyzing Hindu life and culture. This book is an interdisciplinary comparative work which attempts to 'connect the dots', moving beyond isolated local village-based studies in order to bridge the gulf between anthropology and Hindu studies.
Download or read book The Fractal Geometry of Nature written by Benoit Mandelbrot and published by Echo Point Books & Media, LLC. This book was released on 2021-07-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a style that is accessible to a wide audience, The Fractal Geometry of Nature inspired popular interest in this emerging field. Mandelbrot's unique style, and rich illustrations will inspire readers of all backgrounds.
Download or read book Fractal Growth Phenomena written by Tam s Vicsek and published by World Scientific. This book was released on 1992 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: The investigation of phenomena involving fractals has gone through a spectacular development in the last decade. Many physical, technological and biological processes have been shown to be related to and described by objects with non-integer dimensions. The physics of far-from-equilibrium growth phenomena represents one of the most important fields in which fractal geometry is widely applied. During the last couple of years considerable experimental, numerical and theoretical information has accumulated concerning such processes. This book, written by a well-known expert in the field, summarizes the basic concepts born in the studies of fractal growth and also presents some of the most important new results for more specialized readers. It also contains 15 beautiful color plates demonstrating the richness of the geometry of fractal patterns. Accordingly, it may serve as a textbook on the geometrical aspects of fractal growth and it treats this area in sufficient depth to make it useful as a reference book. No specific mathematical knowledge is required for reading this book which is intended to give a balanced account of the field.
Download or read book Fractal Geometry and Applications A Jubilee of Benoit Mandelbrot written by Michel Laurent Lapidus and published by American Mathematical Soc.. This book was released on 2004 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers an excellent selection of cutting-edge articles about fractal geometry, covering the great breadth of mathematics and related areas touched by this subject. Included are rich survey articles and fine expository papers. The high-quality contributions to the volume by well-known researchers--including two articles by Mandelbrot--provide a solid cross-section of recent research representing the richness and variety of contemporary advances in and around fractal geometry. In demonstrating the vitality and diversity of the field, this book will motivate further investigation into the many open problems and inspire future research directions. It is suitable for graduate students and researchers interested in fractal geometry and its applications. This is a two-part volume. Part 1 covers analysis, number theory, and dynamical systems; Part 2, multifractals, probability and statistical mechanics, and applications.
Download or read book Quick free world maps using GIMP filters and Donjon fractal maps written by Ken N Wickham and published by Ken Wickham. This book was released on with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: I will show step-by-step instructions how to use two online tools to make several kinds of maps from randomized fractal maps. The value in this book isn't the original maps, which are free. The value is in the techniques used to turn those maps into 3d, contour, and highly detailed maps by using digital techniques in the book. Also I show how to create a better outline map. You don't actually draw the map. You pick which one you like from a random created map. Doing so only takes a few steps - depending on what details you want - and can be done whenever you want. I show how to make highly detailed maps. It's pretty easy. Just a few buttons and setting adjustments to automate results which I show. It's much easier than drawing or using digital brushes although you depend on randomly made maps. Ideal chunks of 100 pixels or less clips. Even better are 3 to 20 pixel clips such as the small island.
Download or read book Fractal Shores written by Diane Louie and published by University of Georgia Press. This book was released on 2020-10-15 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt: Carlo Rovelli, Italian physicist, says that "the world is not a collection of things, it is a collection of events." Poet Diane Louie thinks of prose poems as little events. They are happening and happenings. They draw on experience, image, metaphor, and all the properties of language to create little worlds-in-motion: spinning while orbiting, actively shifting our point of view. More genus than hybrid species, prose poems can straddle the obvious limits and less-obvious liberties of perception. This active characteristic of spanning and connecting is especially relevant in a time of cultural polarization. Marrying, even uneasily, the inquiries of science and spiritual longing can illuminate what they—and we—have in common: a desire to understand our presence in a universe that does not yield ultimate answers.
Download or read book Chaos in Wonderland written by Clifford A. Pickover and published by Palgrave Macmillan. This book was released on 1995 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describing the biology, sociology, and technology of the fictional Latoocarfian civilization of Ganymede, one of Jupiter's moons, this book includes a cornucopia of curiosities--games played on fractal boards, instructions on creating globular star clusters using personal computers, and puzzles to stimulate the imagination.
Download or read book Fractals A Very Short Introduction written by Kenneth Falconer and published by OUP Oxford. This book was released on 2013-09-26 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Download or read book A Fractal Epistemology for a Scientific Psychology written by Terry Marks-Tarlow and published by Cambridge Scholars Publishing. This book was released on 2020-01-06 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal dynamics provide an unparalleled tool for understanding the evolution of natural complexity throughout physical, biological, and psychological realms. This book’s conceptual framework helps to reconcile several persistent dichotomies in the natural sciences, including mind-brain, linear-nonlinear, subjective-objective, and even personal-transpersonal processes. A fractal approach is especially useful when applied to recursive processes of consciousness, both within their ordinary and anomalous manifestations. This novel way to study the interconnection of seemingly divided wholes encompasses multiple dimensions of experience and being. It brings together experts in diverse fields—neuropsychologists, psychiatrists, physicists, physiologists, psychoanalysts, mathematicians, and professors of religion and music composition—to demonstrate the value of fractals as model, method, and metaphor within psychology and related social and physical sciences. The result is a new perspective for understanding what has often been dismissed as too subjective, idiosyncratic, and ineffably beyond the scope of science, bringing these areas back into a natural-scientific framework.
Download or read book Kitchen Science Fractals A Lab Manual For Fractal Geometry written by Michael Frame and published by World Scientific. This book was released on 2021-10-04 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Heaven s Fractal Net written by William J. Jackson and published by Wipf and Stock Publishers. This book was released on 2022-09-26 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heaven's Fractal Net explores the uniquely useful geometrical forms found in nature and in cultures of the world. The visual shapes of fractals attract eyes with their fascinating beauty. They appear in images and designs with reiterated patterns whose parts are self-similar to the whole pattern--just as a fern frond is structured with smaller and smaller self-similar branches. The fractal-like imagery in religious architecture has been used to symbolize infinity, consciousness, vertigo, and wonder. In nature fractals serve as dynamic configurations for circulation, including the branching shapes of trees and lungs, rivers and nerves. A wealth of fractal examples is found in arts, symbols, and decorations. Heaven's Fractal Net is a book which explores self-similarities in worldwide cultures, providing a rich background for examining many geometrical shapes used by humanity, exploring processes of creativity in wisdom traditions, and delving into archetypal images in depth psychology. Fractals offer an organizing principle for many different kinds of hierarchies and composites, and in recent years "fractal" has become a familiar household word for a new yet ancient geometry.
Download or read book Virtual Reality written by Alan Wexelblat and published by Academic Press. This book was released on 2014-05-10 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Virtual Reality: Applications and Explorations provides information pertinent to the fundamental aspects of virtual reality and artificial reality. This book discusses the potential applications of virtual reality. Organized into three parts encompassing 10 chapters, this book begins with an overview of the traditional computer science activities ad discusses how hard problems in computer science can be addressed with virtual reality ideas and technology. This text then explores some applications of virtual reality technology that could potentially touch almost every purposeful activity that humans undertake in a technological civilization. Other chapters consider the use of virtual reality to manage and present to users information that cannot otherwise be comprehended. This book discusses as well the use of artificial worlds in both computer art and virtual reality. The final chapter deals with how the ideas of virtual reality and artificial reality can be of use to anyone who has to manage a business or organization. This book is a valuable resource for computer scientists.
Download or read book Heaven s Fractal Net written by William Joseph Jackson and published by . This book was released on 2004 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accompanying DVD contains ... "Two hours of Supercomputed frame-by-frame fractal animation. Includes Mandelbrot Zooms, Julia Promenades, Cascade maps and the Lorenz Attractor. Forty six scenes with original music."--[container of 1990 VHS release].
Download or read book SuperFractals written by Michael Fielding Barnsley and published by Cambridge University Press. This book was released on 2006-09-07 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: SuperFractals, first published in 2006, describes mathematics and algorithms for the first time in book form, with breathtaking colour pictures.
Download or read book Discovery of Cosmic Fractals written by Yurij Baryshev and published by World Scientific. This book was released on 2002 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a simple manner, explains the frontiers of astronomy, how fractals appear in cosmic physics, offers a personal view of the history of the idea of self-similarity and of cosmological principles and presents the debate which illustrates how new concepts and deeper observations reveal unexpected aspects of Nature.
