Fractals, Graphics, and Mathematics Education
Author: Michael Frame
Publisher: Cambridge University Press
Published: 2002-06-20
Total Pages: 232
ISBN-13: 9780883851692
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Author: Michael Frame
Publisher: Cambridge University Press
Published: 2002-06-20
Total Pages: 232
ISBN-13: 9780883851692
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Author: Benoit Mandelbrot
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 321
ISBN-13: 1475740174
DOWNLOAD EBOOKJust 23 years ago Benoit Mandelbrot published his famous picture of the Mandelbrot set, but that picture has changed our view of the mathematical and physical universe. In this text, Mandelbrot offers 25 papers from the past 25 years, many related to the famous inkblot figure. Of historical interest are some early images of this fractal object produced with a crude dot-matrix printer. The text includes some items not previously published.
Author: Ron Eglash
Publisher:
Published: 1999
Total Pages: 258
ISBN-13: 9780813526140
DOWNLOAD EBOOKFractals are characterized by the repetition of similar patterns at ever-diminishing scales. Fractal geometry has emerged as one of the most exciting frontiers on the border between mathematics and information technology and can be seen in many of the swirling patterns produced by computer graphics. It has become a new tool for modeling in biology, geology, and other natural sciences. Anthropologists have observed that the patterns produced in different cultures can be characterized by specific design themes. In Europe and America, we often see cities laid out in a grid pattern of straight streets and right-angle corners. In contrast, traditional African settlements tend to use fractal structures-circles of circles of circular dwellings, rectangular walls enclosing ever-smaller rectangles, and streets in which broad avenues branch down to tiny footpaths with striking geometric repetition. These indigenous fractals are not limited to architecture; their recursive patterns echo throughout many disparate African designs and knowledge systems. Drawing on interviews with African designers, artists, and scientists, Ron Eglash investigates fractals in African architecture, traditional hairstyling, textiles, sculpture, painting, carving, metalwork, religion, games, practical craft, quantitative techniques, and symbolic systems. He also examines the political and social implications of the existence of African fractal geometry. His book makes a unique contribution to the study of mathematics, African culture, anthropology, and computer simulations.
Author: Oliver Linton
Publisher: eBook Partnership
Published: 2021-05-20
Total Pages: 64
ISBN-13: 191270613X
DOWNLOAD EBOOKWhat are fractals? Why are they such fun? How do you make one? Why is a dripping tap not as random as it seems? What is chaos? Is the Mandelbrot Set really the most complex object in mathematics? In this beautifully illustrated book, fractal-hunter Oliver Linton takes us on a fascinating journey into the mathematics of fractals and chaos, diving into many kinds of self- similar structures to reveal some of the most recently discovered and intriguing patterns in science and nature. "e;Fascinating"e; FINANCIAL TIMES. "e;Beautiful"e; LONDON REVIEW OF BOOKS. "e;Rich and Artful"e; THE LANCET. "e;Genuinely mind-expanding"e; FORTEAN TIMES. "e;Excellent"e; NEW SCIENTIST. "e;Stunning"e; NEW YORK TIMES. Small books, big ideas.
Author: Harold Abelson
Publisher: MIT Press
Published: 1986-07-09
Total Pages: 502
ISBN-13: 9780262510370
DOWNLOAD EBOOKTurtle Geometry presents an innovative program of mathematical discovery that demonstrates how the effective use of personal computers can profoundly change the nature of a student's contact with mathematics. Using this book and a few simple computer programs, students can explore the properties of space by following an imaginary turtle across the screen. The concept of turtle geometry grew out of the Logo Group at MIT. Directed by Seymour Papert, author of Mindstorms, this group has done extensive work with preschool children, high school students and university undergraduates.
Author: Paul Meakin
Publisher: Cambridge University Press
Published: 1998
Total Pages: 700
ISBN-13: 9780521452533
DOWNLOAD EBOOKA comprehensive, 1998 account of the practical aspects and pitfalls of the applications of fractal modelling in the physical sciences.
Author: Manfred Schroeder
Publisher: Courier Corporation
Published: 2009-08-21
Total Pages: 450
ISBN-13: 0486472043
DOWNLOAD EBOOKThis 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.
Author: Alexandre Hardy
Publisher: World Scientific
Published: 2008
Total Pages: 494
ISBN-13: 9812791027
DOWNLOAD EBOOKPresents introductory and advanced topics in the field of computer graphics with mathematical descriptions and derivations. This book offers a balance of theory, applications, and code, and derives the underlying numerical methods and algorithms. It contains the classes in C# necessary for computer graphics, and offers an explanation of the code.
Author: David P. Feldman
Publisher: Oxford University Press
Published: 2012-08-09
Total Pages: 431
ISBN-13: 0199566437
DOWNLOAD EBOOKFor students with a background in elementary algebra, this book provides a vivid introduction to the key phenomena and ideas of chaos and fractals, including the butterfly effect, strange attractors, fractal dimensions, Julia Sets and the Mandelbrot Set, power laws, and cellular automata. The book includes over 200 end-of-chapter exercises.
Author: Michel Laurent Lapidus
Publisher: American Mathematical Soc.
Published: 2004
Total Pages: 760
ISBN-13: 9780821836378
DOWNLOAD EBOOKThis 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.