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تعداد نتایج: 1829

Fractal Worlds

Grown, Built, and Imagined

$Fractal geometry is a uniquely fascinating area of mathematics, exhibited in a range of shapes that exist in the natural world, from a simple broccoli floret to a majestic mountain range. In this essential primer, mathematician Michael Frame—a close collaborator with Benoit Mandelbrot, the founder of fractal geometry—and poet Amelia Urry explore the amazing world of fractals as they appear in nature, art, medicine, and technology. Frame and Urry offer new insights into such familiar topics as measuring fractal complexity by dimension and the life and work of Mandelbrot. In addition, they delve into less-known areas: fractals with memory, the Mandelbrot set in four dimensions, fractals in literature, and more. An inviting introduction to an enthralling subject, this comprehensive volume is ideal for learning and teaching.$

جزئیات و درخواست

By Michael Frame, Amelia Urry
Publisher: Yale University Press, 2016-06-21
Pages: 536
Language: en
ISBN_13:9780300220704
ISBN_10:0300220707
Subject: Mathematics

Fractal Worlds

Grown, Built, and Imagined

$In this essential primer, mathematician Michael Frame, a close collaborator with Benoit Mandelbrot, the founder of fractal geometry, and poet Amelia Urry explore the amazing world of fractals as they appear in nature, art, medicine, and technology$

جزئیات و درخواست

By Michael Frame, Amelia Urry
Publisher: Yale University Press, 2016-01-01
Pages: 536
Language: en
ISBN_13:9780300197877
ISBN_10:030019787X
Subject: Mathematics

Fractal Landscapes

From the Real World

$Bridging the divide between art and science, this book presents a powerful visual case for recognising the fractal character of both natural and man-made landscapes. Photographs of complex and intricate landscapes - beautifully printed in tritone - are paired and grouped to demonstrate striking similarities between the large and the small, the natural and the man-made, and between widely separated sites. These similarities are too pervasive and too consistent to be dismissed as coincidental. They are evidence of a previously unsuspected organising process, through which structure and order can spontaneously emerge from chaos - contrary to past notions of entropy. Such ideas are at the heart of the new science of Complexity, in which mankind is fundamentally re-appraising its view of Nature and the origins of life itself.$

جزئیات و درخواست

By Bill Hirst, Benoit B. Mandelbrot
Publisher: Distributed Art Pub Incorporated, 1994
Pages: 84
Language: en
ISBN_10:094879724X
ISBN_13:9780948797248
Subject: Fractals

The Infinite Art of Fractals

Exploring the Aesthetic and Mathematical Wonders of Nature's...

$Unlock the mesmerizing world of fractals with "The Infinite Art of Fractals," the ultimate guide to understanding the intricate beauty and limitless possibilities of these captivating patterns. This eBook takes you on a comprehensive journey from the birth of fractals to their profound implications in modern technology and culture. Dive into the fascinating history of fractals, where you'll meet pioneers like Benoit Mandelbrot and discover the language of shapes that define these patterns. Explore how simple processes evolve into complex structures through concepts like self-similarity and iterative processes. Delve into the mathematical foundations, revealing the mysteries of the Mandelbrot and Julia sets, while uncovering the stunning patterns hidden within the complex plane. Nature enthusiasts will be captivated by the fractal geometry found in tree branches, coastlines, and snowflakes, illustrating the natural world's inherent order. Learn about the pivotal role of fractals in computer graphics, from algorithmic beauty to rendering techniques, and see how they revolutionize animation and visual effects. "The Infinite Art of Fractals" also explores the aesthetic allure of fractals, examining visual harmonies, color depth, and artistic interpretations that inspire both artists and mathematicians. Discover practical applications in technology, such as image compression, antenna design, and network modeling, showcasing the versatility and functionality of fractal patterns. Understand the connection between fractals and chaos theory, unraveling the mysteries of dynamical systems and the butterfly effect. Marvel at fractals' influence in art and culture, from architectural designs to music and popular media. For those eager to create their own fractals, a practical guide is included, offering insights into software use, designing with iterative functions, and collaboration opportunities. With real-life case studies and insights into future applications, this eBook is an essential resource for anyone interested in the endless possibilities of fractal science. Embrace the infinite potential of fractals and let your imagination soar with "The Infinite Art of Fractals"—your gateway to a world where science and art beautifully converge.$

جزئیات و درخواست

By Barrett Williams, ChatGPT
Publisher: Barrett Williams, 2024-11-25
Pages: 110
Language: en
Subject: Mathematics

Alt.fractals

A Visual Guide to Fractal Geometry and Design

$Alt.fractals$

جزئیات و درخواست

By Eric Baird
Publisher: Chocolate Tree Books, 2011
Pages: 233
Language: en
ISBN_13:9780955706837
ISBN_10:0955706831
Subject: Design

Mots D'Ordre

Disorder in Literary Worlds

جزئیات و درخواست

By Joseph P. Natoli
Publisher: SUNY Press, 1992-01-01
Pages: 306
Language: en
ISBN_10:0791411117
ISBN_13:9780791411117
Subject: Literary Criticism

Fractal Growth Phenomena

$The investigation of phenomena involving fractals has gone through a spectacular development in the last decade. Many physical, technological and biological processes have been shown to be related to and described by objects with non-integer dimensions. The physics of far-from-equilibrium growth phenomena represents one of the most important fields in which fractal geometry is widely applied. During the last couple of years considerable experimental, numerical and theoretical information has accumulated concerning such processes. This book, written by a well-known expert in the field, summarizes the basic concepts born in the studies of fractal growth and also presents some of the most important new results for more specialized readers. It also contains 15 beautiful color plates demonstrating the richness of the geometry of fractal patterns. Accordingly, it may serve as a textbook on the geometrical aspects of fractal growth and it treats this area in sufficient depth to make it useful as a reference book. No specific mathematical knowledge is required for reading this book which is intended to give a balanced account of the field.$

جزئیات و درخواست

By Tam s Vicsek
Publisher: World Scientific, 1992
Pages: 542
Language: en
ISBN_10:9810206682
ISBN_13:9789810206680
Subject: Mathematics

Geometry of Grief

Reflections on Mathematics, Loss, and Life

$"This engaging short book is both a mathematician's reflections on grief and a mathematically-informed theory of grieving. Michael Frame retired in 2016 as a professor of mathematics at Yale University, where students fought for a place in his course on fractal geometry. Students appreciated his use of accessible examples- decalcomania paintings and illustrations of cats to explain mathematical concepts-and stories of his work and friendship with the founder of fractal geometry, Benoit Mandelbrot. In this book, he continues his work to make mathematics accessible, using his experiences with grief to give uninitiated readers insights into advanced topics in geometry. The inability to repeat an "aha moment", when you first learn something, is one type of grief that Frame examines. He connects this irreversible loss of perspective to more consequential grief-loss of a career or of a loved one-and explains ways he has thought mathematically about grieving and coping with grief. Frame is an authentic and sympathetic voice. He retired after discovering that he had an inoperable brain tumor and feeling the effects of his cancer on his teaching career. His connections and insights make this a timely and moving book in our time of personal and collective grief"--$

جزئیات و درخواست

By Michael Frame
Publisher: University of Chicago Press, 2023-05-06
Pages: 175
Language: en
ISBN_13:9780226826486
ISBN_10:0226826481
Subject: Biography & Autobiography

Fractal Time

The Secret of 2012 and a New World Age

$In this compelling exploration of life, Gregg Braden merges the modern discoveries of nature’s patterns (fractals) with the ancient view of a cyclic universe. The result is a powerful model of time—fractal time—and a realistic window into what we can expect for the mysterious year 2012 . . . and beyond. Applying fractal time to the history of the world and life, he proposes that everything from the war and peace between nations to the patterns of human relationships mirror the returning cycles of our past. As each cycle repeats, it carries a more powerful, amplified version of itself. The key: If you know where to look in the past,you know what to expect when the same conditions return in the present and future. For the first time in print, the Time Code Calculator gives you the toolto do just that! Through easy-to-understand science and step-by-step instructions, discover for yourself: • How the conditions for 2012 have occurred in the past, and what we can expect when they repeat! • The “hot dates” that hold the greatest threats of war and greatest opportunities for peace, as well as economic cycles such as the stockmarket collapse of 2008! • How Earth’s location in space triggers cycles of spiritual growth for humans! • Your personal Time Codes for the key events of business, relationships, and change in your life! • How each cycle carries a window of opportunity—a choice point—that allows us to select a new outcome for the returning pattern! • What the 1999 ice cores from Antarctica reveal about past cycles of climate, global warming, Earth’s protective magnetic fields, and what these things mean for us today!$

جزئیات و درخواست

By Gregg Braden
Publisher: Hay House, Inc, 2009-03-15
Pages: 266
Language: en
ISBN_13:9781401925055
ISBN_10:1401925057
Subject: Body, Mind & Spirit

Fractals: A Very Short Introduction

$This essential discussion of the popular science and mathematics behind fractals reveals how fractal shapes can be found everywhere in nature from clouds to coastlines, and explains how basic concepts in fractal geometry produced a revolution in mathematical understandings of patterns in the 20th century.$

جزئیات و درخواست

By K. J. Falconer
Publisher: Oxford University Press, 2013-09-26
Pages: 153
Language: en
ISBN_13:9780199675982
ISBN_10:0199675988
Subject: Mathematics

Digital Mosaics

The Aesthetics of Cyberspace

جزئیات و درخواست

By Steven Holtzman
Publisher: Simon and Schuster, 1998-07-14
Pages: 212
Language: en
ISBN_13:9780684846125
ISBN_10:0684846128
Subject: Art

Virtual Geographies

Cyberpunk at the Intersection of the Postmodern and Science ...

جزئیات و درخواست

By Sabine Heuser
Publisher: BRILL, 2016-08-09
Pages: 299
Language: en
ISBN_13:9789004334373
ISBN_10:9004334378
Subject: Social Science

Sync Or Swarm

Improvising Music in a Complex Age

جزئیات و درخواست

By David Borgo
Publisher: A&C Black, 2005-12-12
Pages: 264
Language: en
ISBN_10:0826417299
ISBN_13:9780826417299
Subject: Music

Fractals, Chaos, Power Laws

Minutes from an Infinite Paradise

$This fascinating book explores the connections between chaos theory, physics, biology, and mathematics. Its award-winning computer graphics, optical illusions, and games illustrate the concept of self-similarity, a typical property of fractals. The author -- hailed by Publishers Weekly as a modern Lewis Carroll -- conveys memorable insights in the form of puns and puzzles. 1992 edition.$

جزئیات و درخواست

By Manfred Schroeder
Publisher: Courier Corporation, 2009-08-21
Pages: 450
Language: en
ISBN_13:9780486472041
ISBN_10:0486472043
Subject: Science

Opening Our Spiritual Eyes

Karmic Clearing for Humanity and the Earth

جزئیات و درخواست

By Qala Sri'ama Phoenix
Publisher: North Atlantic Books, 2011-02-22
Pages: 433
Language: en
ISBN_13:9781556439636
ISBN_10:1556439636
Subject: Body, Mind & Spirit

Nature by Design

The Practice of Biophilic Design

جزئیات و درخواست

By Stephen R. Kellert
Publisher: Yale University Press, 2018-01-01
Pages: 225
Language: en
ISBN_13:9780300214536
ISBN_10:0300214537
Subject: Architecture

The Science of Fractal Images

$This book is based on notes for the course Fractals:lntroduction, Basics and Perspectives given by MichaelF. Barnsley, RobertL. Devaney, Heinz-Otto Peit gen, Dietmar Saupe and Richard F. Voss. The course was chaired by Heinz-Otto Peitgen and was part of the SIGGRAPH '87 (Anaheim, California) course pro gram. Though the five chapters of this book have emerged from those courses we have tried to make this book a coherent and uniformly styled presentation as much as possible. It is the first book which discusses fractals solely from the point of view of computer graphics. Though fundamental concepts and algo rithms are not introduced and discussed in mathematical rigor we have made a serious attempt to justify and motivate wherever it appeared to be desirable. Ba sic algorithms are typically presented in pseudo-code or a description so close to code that a reader who is familiar with elementary computer graphics should find no problem to get started. Mandelbrot's fractal geometry provides both a description and a mathemat ical model for many of the seemingly complex forms and patterns in nature and the sciences. Fractals have blossomed enormously in the past few years and have helped reconnect pure mathematics research with both natural sciences and computing. Computer graphics has played an essential role both in its de velopment and rapidly growing popularity. Conversely, fractal geometry now plays an important role in the rendering, modelling and animation of natural phenomena and fantastic shapes in computer graphics.$

جزئیات و درخواست

By Heinz-Otto Peitgen, Dietmar Saupe
Publisher: Springer Science & Business Media, 2012-12-06
Pages: 328
Language: en
ISBN_13:9781461237846
ISBN_10:146123784X
Subject: Mathematics

Multimedia Modeling, Modeling Multimedia Information And Systems - Proceedings Of The First International Workshop

جزئیات و درخواست

By Ahmed Karmouch
Publisher: World Scientific, 1999-09-24
Pages: 542
Language: en
ISBN_13:9789814543194
ISBN_10:9814543195

Lumen Naturae

Visions of the Abstract in Art and Mathematics

جزئیات و درخواست

By Matilde Marcolli
Publisher: MIT Press, 2020-05-26
Pages: 390
Language: en
ISBN_13:9780262043908
ISBN_10:0262043904
Subject: Mathematics

Oxford Textbook of Children's Sport and Exercise Medicine 4e

جزئیات و درخواست

Publisher: Oxford University Press, 2023-07-26
Pages: 785
Language: en
ISBN_13:9780192657763
ISBN_10:0192657763
Subject: Medical

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