Fractals

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Measure Topology And Fractal Geometry

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Author : Gerald A Edgar
language : en
Publisher: Springer
Release Date : 1990

Measure Topology And Fractal Geometry written by Gerald A Edgar and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.

This book provides the mathematics necessary for the study of fractal geometry. It includes background material on metric topology and measure theory and also covers topological and fractal dimension, including the Hausdorff dimension. Furthermore, the book contains a complete discussion of self-similarity as well as the more general "graph self-similarity."

The Fractal Geometry Of Nature

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Author : Benoit Mandelbrot
language : en
Publisher: Echo Point Books & Media, LLC
Release Date : 2021-07-16

The Fractal Geometry Of Nature written by Benoit Mandelbrot and has been published by Echo Point Books & Media, LLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-16 with categories.

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.

Fractals A Very Short Introduction

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Author : Kenneth Falconer
language : en
Publisher: OUP Oxford
Release Date : 2013-09-26

Fractals A Very Short Introduction written by Kenneth Falconer and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-26 with Mathematics categories.

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.

Fractals

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Author : John Briggs
language : en
Publisher: Simon and Schuster
Release Date : 1992

Fractals written by John Briggs and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.

Explains the significance and beauty of fractals using over 170 illustrations.

Chaos And Fractals

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Author : Heinz-Otto Peitgen
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-05

Chaos And Fractals written by Heinz-Otto Peitgen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-05 with Mathematics categories.

Almost 12 years have passed by since we wrote Chaos and Fractals. At the time we were hoping that our approach of writing a book which would be both accessible without mathematical sophistication and portray these exiting new fields in an authentic manner would find an audience. Now we know it did. We know from many reviews and personal letters that the book is used in a wide range of ways: researchers use it to acquaint themselves, teachers use it in college and university courses, students use it for background reading, and there is also a substantial audience of lay people who just want to know what chaos and fractals are about. Every book that is somewhat technical in nature is likely to have a number of misprints and errors in its first edition. Some of these were caught and brought to our attention by our readers. One of them, Hermann Flaschka, deserves to be thanked in particular for his suggestions and improvements. This second edition has several changes. We have taken out thetwo appendices from the firstedition. At the time of the first edition Yuval Fishers contribution, which we published as an appendix was probably the first complete expository account on fractal image compression. Meanwhile, Yuvals book Fractal Image Compression: Theory and Application appeared and is now the publication to refer to.

Alt Fractals

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Author : Eric Baird
language : en
Publisher: Chocolate Tree Books
Release Date : 2011

Alt Fractals written by Eric Baird and has been published by Chocolate Tree Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Design categories.

"Where most books on fractals concentrate on mathematical theory, Alt. Fractals takes a graphical approach. starting with the fractal "standards"--The Sierpinski Triangle and Pyramid, Menger Sponge, Julia Mandelbrot sets - Alt. Fractals explores the world of variations one step removed from the usual textbook versions."--Back cover.

The Pattern Book

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Author : Clifford A. Pickover
language : en
Publisher: World Scientific
Release Date : 1995

The Pattern Book written by Clifford A. Pickover and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Computers categories.

Although the patterns are computer-generated, the book is informal and emphasis is on the fun that the true pattern lover finds in doing rather than in reading about the doing.

Fractals

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Author : Jens Feder
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Fractals written by Jens Feder and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.

This lovely little book will take off and fly on its own power, but the author has asked me to write a few words, and one should not say no to a friend. Specific topics in fractal geometry and its applications have already benefited from several excellent surveys of moderate length, and gossip and preliminary drafts tell us that we shall soon see several monographic treatments of broader topics. For the teacher, however, these surveys and monographs are not enough, and an urgent need for more helpful books has been widely recognized. To write such a book is no easy task, but Jens Feder meets the challenge head on. His approach combines the old Viking's willingness to attack many difficulties at the same time, and the modern Norwegian's ability to achieve fine balance between diverging needs. lowe him special gratitude for presenting the main facts about R/ S analysis of long-run dependence; now a wide scientific public will have access to a large group of papers of mine that had until this day remained fairly confidential. Last but not least, we are all grateful to Jens for not having allowed undue personal modesty to deprive us of accounts of his own group's varied and excellent work. He did not attempt to say everything, but what he said is just fine. Benoit B. Mandelbrot Physics Department, IBM Thomas J.

Fractals

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Author : Oliver Linton
language : en
Publisher: eBook Partnership
Release Date : 2021-05-20

Fractals written by Oliver Linton and has been published by eBook Partnership this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-20 with Mathematics categories.

What 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.

A Tale Of Two Fractals

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Author : A.A. Kirillov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-23

A Tale Of Two Fractals written by A.A. Kirillov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-23 with Mathematics categories.

Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals. Despite the volume of literature in the field, the general level of theoretical understanding has remained low; most work is aimed either at too mainstream an audience to achieve any depth or at too specialized a community to achieve widespread use. Written by celebrated mathematician and educator A.A. Kirillov, A Tale of Two Fractals is intended to help bridge this gap, providing an original treatment of fractals that is at once accessible to beginners and sufficiently rigorous for serious mathematicians. The work is designed to give young, non-specialist mathematicians a solid foundation in the theory of fractals, and, in the process, to equip them with exposure to a variety of geometric, analytical, and algebraic tools with applications across other areas.