Fractal Horizons PDF Download

Author: Clifford A. Pickover
Publisher: Palgrave Macmillan
ISBN: 9780312125998
Category : Computers
Languages : en
Pages : 355

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Book Description
Fractal Horizons is a practical guide to exploring the inexhaustible reservoir of magnificent shapes, images, and ideas associated with fractals. From art poster designs to educational tools, computer-generated fractal patterns' usage is booming. Fractal Horizons gives an account of the state of the art and speculates on advances in the future. Contributors explore the challenges of using fractals in education, art, music, fashion, chess, medicine, and more. Filled with beautiful images, an intriguing array of artistic and scientific topics, and computer/mathematical recipes, the book will appeal to anyone fascinated by unusual ideas and optically provocative art.

Author: David Carfi
Publisher: American Mathematical Soc.
ISBN: 0821891480
Category : Mathematics
Languages : en
Pages : 384

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Book Description
This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8-12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geometry in Pure and Applied Mathematics, in memory of Benoît Mandelbrot, held January 4-7, 2012, in Boston, MA; and the AMS Special Session on Geometry and Analysis on Fractal Spaces, held March 3-4, 2012, in Honolulu, HI. Articles in this volume cover fractal geometry and various aspects of dynamical systems in applied mathematics and the applications to other sciences. Also included are articles discussing a variety of connections between these subjects and various areas of physics, engineering, computer science, technology, economics and finance, as well as of mathematics (including probability theory in relation with statistical physics and heat kernel estimates, geometric measure theory, partial differential equations in relation with condensed matter physics, global analysis on non-smooth spaces, the theory of billiards, harmonic analysis and spectral geometry). The companion volume (Contemporary Mathematics, Volume 600) focuses on the more mathematical aspects of fractal geometry and dynamical systems.

Author: John Neylon
Publisher: Macmillan Education AU
ISBN: 9781876832544
Category : Art
Languages : en
Pages : 182

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Book Description
HORIZON: GREG JOHNS, SCULPTURES 1970-2002 traces the ideas and career of the Adelaide-based artist from his first commission in the late 1970s through to participation in recent exhibitions in New York and Bahrain. The story is told by noted Adelaide writer and art critic, John Neylon of the Art Gallery of South Australia. His text examines all aspects of the artist's development as a creator of large-scale public sculptures and explains the philosophy that has shaped the work. The reader is led through a rich array of ideas and images relating to the use of sculptural form as a language in which the works serve as metaphors for the human psyche and the natural/cosmic systems that define our world. A number of key sculptures are examined in detail - as are issues surrounding public art and its reception within the community. The processes of commissioning, creating and installing the sculptures are described along with intimate glimpses into the creation of each work as it proceeds from the artist's studio, to the engineering works where it is fabricated, and then on to its intended site.

Author: C.A. Pickover
Publisher: Elsevier
ISBN: 0080528864
Category : Mathematics
Languages : en
Pages : 469

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Book Description
These days computer-generated fractal patterns are everywhere, from squiggly designs on computer art posters to illustrations in the most serious of physics journals. Interest continues to grow among scientists and, rather surprisingly, artists and designers. This book provides visual demonstrations of complicated and beautiful structures that can arise in systems, based on simple rules. It also presents papers on seemingly paradoxical combinations of randomness and structure in systems of mathematical, physical, biological, electrical, chemical, and artistic interest. Topics include: iteration, cellular automata, bifurcation maps, fractals, dynamical systems, patterns of nature created through simple rules, and aesthetic graphics drawn from the universe of mathematics and art. Chaos and Fractals is divided into six parts: Geometry and Nature; Attractors; Cellular Automata, Gaskets, and Koch Curves; Mandelbrot, Julia and Other Complex Maps; Iterated Function Systems; and Computer Art. Additionally, information on the latest practical applications of fractals and on the use of fractals in commercial products such as the antennas and reaction vessels is presented. In short, fractals are increasingly finding application in practical products where computer graphics and simulations are integral to the design process. Each of the six sections has an introduction by the editor including the latest research, references, and updates in the field. This book is enhanced with numerous color illustrations, a comprehensive index, and the many computer program examples encourage reader involvement.

Author: William J. Jackson
Publisher: Wipf and Stock Publishers
ISBN: 1666737992
Category : Philosophy
Languages : en
Pages : 343

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Book Description
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.

Author: Richard Kautz
Publisher: Oxford University Press
ISBN: 0199594570
Category : Mathematics
Languages : en
Pages : 384

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Book Description
One CD-ROM disc in pocket.

Author: Robert G. Niemeyer
Publisher: American Mathematical Soc.
ISBN: 1470435810
Category : Fractals
Languages : en
Pages : 302

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Book Description
This volume contains the proceedings of the 2016 Summer School on Fractal Geometry and Complex Dimensions, in celebration of Michel L. Lapidus's 60th birthday, held from June 21–29, 2016, at California Polytechnic State University, San Luis Obispo, California. The theme of the contributions is fractals and dynamics and content is split into four parts, centered around the following themes: Dimension gaps and the mass transfer principle, fractal strings and complex dimensions, Laplacians on fractal domains and SDEs with fractal noise, and aperiodic order (Delone sets and tilings).

Author: Clifford A. Pickover
Publisher: Oxford University Press
ISBN: 9780195348002
Category : Mathematics
Languages : en
Pages : 420

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Book Description
Who were the five strangest mathematicians in history? What are the ten most interesting numbers? Jam-packed with thought-provoking mathematical mysteries, puzzles, and games, Wonders of Numbers will enchant even the most left-brained of readers. Hosted by the quirky Dr. Googol--who resides on a remote island and occasionally collaborates with Clifford Pickover--Wonders of Numbers focuses on creativity and the delight of discovery. Here is a potpourri of common and unusual number theory problems of varying difficulty--each presented in brief chapters that convey to readers the essence of the problem rather than its extraneous history. Peppered throughout with illustrations that clarify the problems, Wonders of Numbers also includes fascinating "math gossip." How would we use numbers to communicate with aliens? Check out Chapter 30. Did you know that there is a Numerical Obsessive-Compulsive Disorder? You'll find it in Chapter 45. From the beautiful formula of India's most famous mathematician to the Leviathan number so big it makes a trillion look small, Dr. Googol's witty and straightforward approach to numbers will entice students, educators, and scientists alike to pick up a pencil and work a problem.

Author: Brian H. Kaye
Publisher: John Wiley & Sons
ISBN: 3527615989
Category : Technology & Engineering
Languages : en
Pages : 452

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Book Description
Fractal geometry is revolutionizing the descriptive mathematics of applied materials systems. Rather than presenting a mathematical treatise, Brian Kaye demonstrates the power of fractal geometry in describing materials ranging from Swiss cheese to pyrolytic graphite. Written from a practical point of view, the author assiduously avoids the use of equations while introducing the reader to numerous interesting and challenging problems in subject areas ranging from geography to fine particle science. The second edition of this successful book provides up-to-date literature coverage of the use of fractal geometry in all areas of science. From reviews of the first edition: "...no stone is left unturned in the quest for applications of fractal geometry to fine particle problems....This book should provide hours of enjoyable reading to those wishing to become acquainted with the ideas of fractal geometry as applied to practical materials problems." MRS Bulletin

Author: Clifford A. Pickover
Publisher: Oxford University Press
ISBN: 0199929920
Category : Science
Languages : en
Pages : 308

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Book Description
"Bucky Fuller thought big," Wired magazine recently noted, "Arthur C. Clarke thinks big, but Cliff Pickover outdoes them both." In his newest book, Cliff Pickover outdoes even himself, probing a mystery that has baffled mystics, philosophers, and scientists throughout history--What is the nature of time? In Time: A Traveler's Guide, Pickover takes readers to the forefront of science as he illuminates the most mysterious phenomenon in the universe--time itself. Is time travel possible? Is time real? Does it flow in one direction only? Does it have a beginning and an end? What is eternity? Pickover's book offers a stimulating blend of Chopin, philosophy, Einstein, and modern physics, spiced with diverting side-trips to such topics as the history of clocks, the nature of free will, and the reason gold glitters. Numerous diagrams ensure readers will have no trouble following along. By the time we finish this book, we understand a wide variety of scientific concepts pertaining to time. And most important, we will understand that time travel is, indeed, possible.