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 Fractal Worlds written by Michael Frame and published by Yale University Press. This book was released on 2016-01-01 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
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 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 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 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 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 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 144 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 Fractal Functions Fractal Surfaces and Wavelets written by Peter R. Massopust and published by Academic Press. This book was released on 2016-09-02 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal Functions, Fractal Surfaces, and Wavelets, Second Edition, is the first systematic exposition of the theory of local iterated function systems, local fractal functions and fractal surfaces, and their connections to wavelets and wavelet sets. The book is based on Massopust’s work on and contributions to the theory of fractal interpolation, and the author uses a number of tools—including analysis, topology, algebra, and probability theory—to introduce readers to this exciting subject. Though much of the material presented in this book is relatively current (developed in the past decades by the author and his colleagues) and fairly specialized, an informative background is provided for those entering the field. With its coherent and comprehensive presentation of the theory of univariate and multivariate fractal interpolation, this book will appeal to mathematicians as well as to applied scientists in the fields of physics, engineering, biomathematics, and computer science. In this second edition, Massopust includes pertinent application examples, further discusses local IFS and new fractal interpolation or fractal data, further develops the connections to wavelets and wavelet sets, and deepens and extends the pedagogical content. Offers a comprehensive presentation of fractal functions and fractal surfaces Includes latest developments in fractal interpolation Connects fractal geometry with wavelet theory Includes pertinent application examples, further discusses local IFS and new fractal interpolation or fractal data, and further develops the connections to wavelets and wavelet sets Deepens and extends the pedagogical content
Download or read book To Sleep in a Sea of Stars written by Christopher Paolini and published by Tor Books. This book was released on 2020-09-15 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now a New York Times and USA Today bestseller! Winner of Best Science Fiction in the 2020 Goodreads Choice Awards! To Sleep in a Sea of Stars is a brand new epic novel from #1 New York Times bestselling author of Eragon, Christopher Paolini. Kira Navárez dreamed of life on new worlds. Now she's awakened a nightmare. During a routine survey mission on an uncolonized planet, Kira finds an alien relic. At first she's delighted, but elation turns to terror when the ancient dust around her begins to move. As war erupts among the stars, Kira is launched into a galaxy-spanning odyssey of discovery and transformation. First contact isn't at all what she imagined, and events push her to the very limits of what it means to be human. While Kira faces her own horrors, Earth and its colonies stand upon the brink of annihilation. Now, Kira might be humanity's greatest and final hope . . . The Fractalverse Series To Sleep in a Sea of Stars Fractal Noise At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.
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 83 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 Geography written by André Dauphiné and published by Wiley-ISTE. This book was released on 2012-01-17 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our daily universe is rough and infinitely diverse. The fractal approach clarifies and orders these disparities. It helps us to envisage new explanations of geographical phenomena, which are, however, considered as definitely understood. Written for use by geographers and researchers from similar disciplines, such as ecologists, economists, historians and sociologists, this book presents the algorithms best adapted to the phenomena encountered, and proposes case studies illustrating their applications in concrete situations. An appendix is also provided that develops programs written in Mathematica. Contents 1. A Fractal World. 2. Auto-similar and Self-affine Fractals. 3. From the Fractal Dimension to Multifractal Spectrums. 4. Calculation and Interpretation of Fractal Dimensions. 5. The Fractal Dimensions of Rank-size Distributions. 6. Calculation and Interpretation of Multifractal Spectrums. 7. Geographical Explanation of Fractal Forms and Dynamics. 8. Using Complexity Theory to Explain a Fractal World. 9. Land-use Planning and Managing a Fractal Environment.
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 Fractal Physiology and Chaos in Medicine written by Bruce J. West and published by World Scientific. This book was released on 2012 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This exceptional book is concerned with the application of fractals and chaos, as well as other concepts from nonlinear dynamics to biomedical phenomena. Herein we seek to communicate the excitement being experienced by scientists upon making application of these concepts within the life sciences. Mathematical concepts are introduced using biomedical data sets and the phenomena being explained take precedence over the mathematics. In this new edition what has withstood the test of time has been updated and modernized; speculations that were not borne out have been expunged and the breakthroughs that have occurred in the intervening years are emphasized. The book provides a comprehensive overview of a nascent theory of medicine, including a new chapter on the theory of complex networks as they pertain to medicine.
Download or read book The Science of Fractal Images written by Heinz-Otto Peitgen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on notes for the course Fractals:lntroduction, Basics and Perspectives given by MichaelF. Barnsley, RobertL. Devaney, Heinz-Otto Peit gen, Dietmar Saupe and Richard F. Voss. The course was chaired by Heinz-Otto Peitgen and was part of the SIGGRAPH '87 (Anaheim, California) course pro gram. Though the five chapters of this book have emerged from those courses we have tried to make this book a coherent and uniformly styled presentation as much as possible. It is the first book which discusses fractals solely from the point of view of computer graphics. Though fundamental concepts and algo rithms are not introduced and discussed in mathematical rigor we have made a serious attempt to justify and motivate wherever it appeared to be desirable. Ba sic algorithms are typically presented in pseudo-code or a description so close to code that a reader who is familiar with elementary computer graphics should find no problem to get started. Mandelbrot's fractal geometry provides both a description and a mathemat ical model for many of the seemingly complex forms and patterns in nature and the sciences. Fractals have blossomed enormously in the past few years and have helped reconnect pure mathematics research with both natural sciences and computing. Computer graphics has played an essential role both in its de velopment and rapidly growing popularity. Conversely, fractal geometry now plays an important role in the rendering, modelling and animation of natural phenomena and fantastic shapes in computer graphics.
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 Fractal Time written by Braden Gregg and published by Hay House, Inc. This book was released on 2010-03-01 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this compelling exploration of life, Gregg Braden merges the modern discoveries of nature’s patterns (fractals) with the ancient view of a cyclic universe. The result is a powerful model of time—fractal time—and a realistic window into what we can expect for the mysterious year 2012 . . . and beyond. Applying fractal time to the history of the world and life, he proposes that everything from the war and peace between nations to the patterns of human relationships mirror the returning cycles of our past. As each cycle repeats, it carries a more powerful, amplified version of itself. The key: If you know where to look in the past,you know what to expect when the same conditions return in the present and future. For the first time in print, the Time Code Calculator gives you the toolto do just that! Through easy-to-understand science and step-by-step instructions, discover for yourself: • How the conditions for 2012 have occurred in the past, and what we can expect when they repeat! • The “hot dates” that hold the greatest threats of war and greatest opportunities for peace, as well as economic cycles such as the stockmarket collapse of 2008! • How Earth’s location in space triggers cycles of spiritual growth for humans! • Your personal Time Codes for the key events of business, relationships, and change in your life! • How each cycle carries a window of opportunity—a choice point—that allows us to select a new outcome for the returning pattern! • What the 1999 ice cores from Antarctica reveal about past cycles of climate, global warming, Earth’s protective magnetic fields, and what these things mean for us today!
