Mathematics Of Fractals

Mathematics Of Fractals Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Mathematics Of Fractals book. This book definitely worth reading, it is an incredibly well-written.

Measure, Topology, and Fractal Geometry

Gerald A. Edgar
Measure Topology and Fractal Geometry Book PDF

Author : Gerald A. Edgar
Publisher : Springer Science & Business Media
Page : 231 pages
File Size : 45,8 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781475741346

Get Book

Measure, Topology, and Fractal Geometry by Gerald A. Edgar Pdf

From the reviews: "In the world of mathematics, the 1980's might well be described as the "decade of the fractal". Starting with Benoit Mandelbrot's remarkable text The Fractal Geometry of Nature, there has been a deluge of books, articles and television programmes about the beautiful mathematical objects, drawn by computers using recursive or iterative algorithms, which Mandelbrot christened fractals. Gerald Edgar's book is a significant addition to this deluge. Based on a course given to talented high- school students at Ohio University in 1988, it is, in fact, an advanced undergraduate textbook about the mathematics of fractal geometry, treating such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology. However, the book also contains many good illustrations of fractals (including 16 color plates), together with Logo programs which were used to generate them. ... Here then, at last, is an answer to the question on the lips of so many: 'What exactly is a fractal?' I do not expect many of this book's readers to achieve a mature understanding of this answer to the question, but anyone interested in finding out about the mathematics of fractal geometry could not choose a better place to start looking." #Mathematics Teaching#1

Fractals, Graphics, and Mathematics Education

Michael Frame,Benoit Mandelbrot
Fractals Graphics and Mathematics Education Book PDF

Author : Michael Frame,Benoit Mandelbrot
Publisher : Cambridge University Press
Page : 232 pages
File Size : 44,5 Mb
Release : 2002-06-20
Category : Computers
ISBN : 0883851695

Get Book

Fractals, Graphics, and Mathematics Education by Michael Frame,Benoit Mandelbrot Pdf

Publisher Description

Mathematics of Fractals

Masaya Yamaguchi,Masayoshi Hata,Jun Kigami
Mathematics of Fractals Book PDF

Author : Masaya Yamaguchi,Masayoshi Hata,Jun Kigami
Publisher : American Mathematical Soc.
Page : 104 pages
File Size : 52,5 Mb
Release : 1997
Category : Mathematics
ISBN : 0821805371

Get Book

Mathematics of Fractals by Masaya Yamaguchi,Masayoshi Hata,Jun Kigami Pdf

This book aims at providing a handy explanation of the notions behind the self-similar sets called "fractals" and "chaotic dynamical systems". The authors emphasize the beautiful relationship between fractal functions (such as Weierstrass's) and chaotic dynamical systems; these nowhere-differentiable functions are generating functions of chaotic dynamical systems. These functions are shown to be in a sense unique solutions of certain boundary problems. The last chapter of the book treats harmonic functions on fractal sets.

A Tale of Two Fractals

A.A. Kirillov
A Tale of Two Fractals Book PDF

Author : A.A. Kirillov
Publisher : Springer Science & Business Media
Page : 148 pages
File Size : 42,8 Mb
Release : 2013-04-23
Category : Mathematics
ISBN : 9780817683825

Get Book

A Tale of Two Fractals by A.A. Kirillov Pdf

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.

SuperFractals

Michael Fielding Barnsley
SuperFractals Book PDF

Author : Michael Fielding Barnsley
Publisher : Cambridge University Press
Page : 464 pages
File Size : 54,6 Mb
Release : 2006-09-07
Category : Computers
ISBN : 9780521844932

Get Book

SuperFractals by Michael Fielding Barnsley Pdf

SuperFractals, first published in 2006, describes mathematics and algorithms for the first time in book form, with breathtaking colour pictures.

The Fractal Geometry of Nature

Benoit Mandelbrot
The Fractal Geometry of Nature Book PDF

Author : Benoit Mandelbrot
Publisher : Echo Point Books & Media, LLC
Page : 0 pages
File Size : 48,8 Mb
Release : 2021-07-16
Category : Electronic
ISBN : 1648370411

Get Book

The Fractal Geometry of Nature by Benoit Mandelbrot Pdf

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.

The Geometry of Fractal Sets

K. J. Falconer
The Geometry of Fractal Sets Book PDF

Author : K. J. Falconer
Publisher : Cambridge University Press
Page : 184 pages
File Size : 51,6 Mb
Release : 1985
Category : Mathematics
ISBN : 0521337054

Get Book

The Geometry of Fractal Sets by K. J. Falconer Pdf

A mathematical study of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Considers questions of local density, the existence of tangents of such sets as well as the dimensional properties of their projections in various directions.

Fractals: A Very Short Introduction

Kenneth Falconer
Fractals A Very Short Introduction Book PDF

Author : Kenneth Falconer
Publisher : OUP Oxford
Page : 144 pages
File Size : 51,5 Mb
Release : 2013-09-26
Category : Mathematics
ISBN : 9780191663444

Get Book

Fractals: A Very Short Introduction by Kenneth Falconer Pdf

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 in Probability and Analysis

Christopher J. Bishop,Yuval Peres
Fractals in Probability and Analysis Book PDF

Author : Christopher J. Bishop,Yuval Peres
Publisher : Cambridge University Press
Page : 415 pages
File Size : 51,6 Mb
Release : 2017
Category : Mathematics
ISBN : 9781107134119

Get Book

Fractals in Probability and Analysis by Christopher J. Bishop,Yuval Peres Pdf

A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.

Fractal Geometry

Kenneth Falconer
Fractal Geometry Book PDF

Author : Kenneth Falconer
Publisher : John Wiley & Sons
Page : 367 pages
File Size : 43,9 Mb
Release : 2007-12-10
Category : Mathematics
ISBN : 9780470299456

Get Book

Fractal Geometry by Kenneth Falconer Pdf

Since its original publication in 1990, Kenneth Falconer's Fractal Geometry: Mathematical Foundations and Applications has become a seminal text on the mathematics of fractals. It introduces the general mathematical theory and applications of fractals in a way that is accessible to students from a wide range of disciplines. This new edition has been extensively revised and updated. It features much new material, many additional exercises, notes and references, and an extended bibliography that reflects the development of the subject since the first edition. * Provides a comprehensive and accessible introduction to the mathematical theory and applications of fractals. * Each topic is carefully explained and illustrated by examples and figures. * Includes all necessary mathematical background material. * Includes notes and references to enable the reader to pursue individual topics. * Features a wide selection of exercises, enabling the reader to develop their understanding of the theory. * Supported by a Web site featuring solutions to exercises, and additional material for students and lecturers. Fractal Geometry: Mathematical Foundations and Applications is aimed at undergraduate and graduate students studying courses in fractal geometry. The book also provides an excellent source of reference for researchers who encounter fractals in mathematics, physics, engineering, and the applied sciences. Also by Kenneth Falconer and available from Wiley: Techniques in Fractal Geometry ISBN 0-471-95724-0 Please click here to download solutions to exercises found within this title: http://www.wileyeurope.com/fractal

Fractals for the Classroom

Heinz-Otto Peitgen,Hartmut Jürgens,Dietmar Saupe
Fractals for the Classroom Book PDF

Author : Heinz-Otto Peitgen,Hartmut Jürgens,Dietmar Saupe
Publisher : Springer Science & Business Media
Page : 468 pages
File Size : 46,5 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475721720

Get Book

Fractals for the Classroom by Heinz-Otto Peitgen,Hartmut Jürgens,Dietmar Saupe Pdf

Fractals for the Classroom breaks new ground as it brings an exciting branch of mathematics into the classroom. The book is a collection of independent chapters on the major concepts related to the science and mathematics of fractals. Written at the mathematical level of an advanced secondary student, Fractals for the Classroom includes many fascinating insights for the classroom teacher and integrates illustrations from a wide variety of applications with an enjoyable text to help bring the concepts alive and make them understandable to the average reader. This book will have a tremendous impact upon teachers, students, and the mathematics education of the general public. With the forthcoming companion materials, including four books on strategic classroom activities and lessons with interactive computer software, this package will be unparalleled.

The Beauty of Fractals

Heinz-Otto Peitgen,Peter H. Richter
The Beauty of Fractals Book PDF

Author : Heinz-Otto Peitgen,Peter H. Richter
Publisher : Springer Science & Business Media
Page : 214 pages
File Size : 50,8 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9783642617171

Get Book

The Beauty of Fractals by Heinz-Otto Peitgen,Peter H. Richter Pdf

Now approaching its tenth year, this hugely successful book presents an unusual attempt to publicise the field of Complex Dynamics. The text was originally conceived as a supplemented catalogue to the exhibition "Frontiers of Chaos", seen in Europe and the United States, and describes the context and meaning of these fascinating images. A total of 184 illustrations - including 88 full-colour pictures of Julia sets - are suggestive of a coffee-table book. However, the invited contributions which round off the book lend the text the required formality. Benoit Mandelbrot gives a very personal account, in his idiosyncratic self-centred style, of his discovery of the fractals named after him and Adrien Douady explains the solved and unsolved problems relating to this amusingly complex set.

Fractals in Music

Charles B. Madden
Fractals in Music Book PDF

Author : Charles B. Madden
Publisher : High Art Press
Page : 228 pages
File Size : 41,6 Mb
Release : 1999
Category : Mathematics
ISBN : 0967172756

Get Book

Fractals in Music by Charles B. Madden Pdf

Fractals in Music is intended for advanced students of music theory, whether individuals, composers, students, or teachers. It is intelligible to anyone having some knowledge of algebra and trigonometry. The many illustrations clarify such concepts as self-similarity and transforms. Book jacket.

Analysis on Fractals

Jun Kigami
Analysis on Fractals Book PDF

Author : Jun Kigami
Publisher : Cambridge University Press
Page : 238 pages
File Size : 42,9 Mb
Release : 2001-06-07
Category : Mathematics
ISBN : 9780521793216

Get Book

Analysis on Fractals by Jun Kigami Pdf

This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to discuss recent results, including the properties of eigenvalues and eigenfunctions of the Laplacians, and the asymptotical behaviors of heat kernels on self-similar sets. Requiring only a basic knowledge of advanced analysis, general topology and measure theory, this book will be of value to graduate students and researchers in analysis and probability theory. It will also be useful as a supplementary text for graduate courses covering fractals.

Analysis, Probability And Mathematical Physics On Fractals

Patricia Alonso Ruiz,Joe Po-chou Chen,Luke G Rogers,Alexander Teplyaev
Analysis Probability And Mathematical Physics On Fractals Book PDF

Author : Patricia Alonso Ruiz,Joe Po-chou Chen,Luke G Rogers,Alexander Teplyaev
Publisher : World Scientific
Page : 594 pages
File Size : 47,6 Mb
Release : 2020-02-26
Category : Mathematics
ISBN : 9789811215544

Get Book

Analysis, Probability And Mathematical Physics On Fractals by Patricia Alonso Ruiz,Joe Po-chou Chen,Luke G Rogers,Alexander Teplyaev Pdf

In the 50 years since Mandelbrot identified the fractality of coastlines, mathematicians and physicists have developed a rich and beautiful theory describing the interplay between analytic, geometric and probabilistic aspects of the mathematics of fractals. Using classical and abstract analytic tools developed by Cantor, Hausdorff, and Sierpinski, they have sought to address fundamental questions: How can we measure the size of a fractal set? How do waves and heat travel on irregular structures? How are analysis, geometry and stochastic processes related in the absence of Euclidean smooth structure? What new physical phenomena arise in the fractal-like settings that are ubiquitous in nature?This book introduces background and recent progress on these problems, from both established leaders in the field and early career researchers. The book gives a broad introduction to several foundational techniques in fractal mathematics, while also introducing some specific new and significant results of interest to experts, such as that waves have infinite propagation speed on fractals. It contains sufficient introductory material that it can be read by new researchers or researchers from other areas who want to learn about fractal methods and results.