The Geometry Of Fractal Sets PDF Download
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| Author | : K. J. Falconer |
| Publisher | : Cambridge University Press |
| Total Pages | : 184 |
| Release | : 1985 |
| Genre | : Mathematics |
| ISBN | : 9780521337052 |
Download The Geometry of Fractal Sets Book in PDF, ePub and Kindle
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.
| Author | : Pertti Mattila |
| Publisher | : Cambridge University Press |
| Total Pages | : 360 |
| Release | : 1999-02-25 |
| Genre | : Mathematics |
| ISBN | : 9780521655958 |
Download Geometry of Sets and Measures in Euclidean Spaces Book in PDF, ePub and Kindle
This book studies the geometric properties of general sets and measures in euclidean space.
| Author | : Benoit Mandelbrot |
| Publisher | : Echo Point Books & Media, LLC |
| Total Pages | : 0 |
| Release | : 2021-07-16 |
| Genre | : |
| ISBN | : 9781648370410 |
Download The Fractal Geometry of Nature Book in PDF, ePub and Kindle
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.
| Author | : Jacques Bélair |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 485 |
| Release | : 2013-11-11 |
| Genre | : Mathematics |
| ISBN | : 9401579318 |
Download Fractal Geometry and Analysis Book in PDF, ePub and Kindle
This ASI- which was also the 28th session of the Seminaire de mathematiques superieures of the Universite de Montreal - was devoted to Fractal Geometry and Analysis. The present volume is the fruit of the work of this Advanced Study Institute. We were fortunate to have with us Prof. Benoit Mandelbrot - the creator of numerous concepts in Fractal Geometry - who gave a series of lectures on multifractals, iteration of analytic functions, and various kinds of fractal stochastic processes. Different foundational contributions for Fractal Geometry like measure theory, dy namical systems, iteration theory, branching processes are recognized. The geometry of fractal sets and the analytical tools used to investigate them provide a unifying theme of this book. The main topics that are covered are then as follows. Dimension Theory. Many definitions of fractional dimension have been proposed, all of which coincide on "regular" objects, but often take different values for a given fractal set. There is ample discussion on piecewise estimates yielding actual values for the most common dimensions (Hausdorff, box-counting and packing dimensions). The dimension theory is mainly discussed by Mendes-France, Bedford, Falconer, Tricot and Rata. Construction of fractal sets. Scale in variance is a fundamental property of fractal sets.
| Author | : Christopher J. Bishop |
| Publisher | : Cambridge University Press |
| Total Pages | : 415 |
| Release | : 2017 |
| Genre | : Mathematics |
| ISBN | : 1107134110 |
Download Fractals in Probability and Analysis Book in PDF, ePub and Kindle
A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.
| Author | : Kenneth Falconer |
| Publisher | : John Wiley & Sons |
| Total Pages | : 367 |
| Release | : 2007-12-10 |
| Genre | : Mathematics |
| ISBN | : 0470299452 |
Download Fractal Geometry Book in PDF, ePub and Kindle
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
| Author | : Christoph Bandt |
| Publisher | : Birkhäuser |
| Total Pages | : 339 |
| Release | : 2015-07-08 |
| Genre | : Mathematics |
| ISBN | : 3319186604 |
Download Fractal Geometry and Stochastics V Book in PDF, ePub and Kindle
This book collects significant contributions from the fifth conference on Fractal Geometry and Stochastics held in Tabarz, Germany, in March 2014. The book is divided into five topical sections: geometric measure theory, self-similar fractals and recurrent structures, analysis and algebra on fractals, multifractal theory, and random constructions. Each part starts with a state-of-the-art survey followed by papers covering a specific aspect of the topic. The authors are leading world experts and present their topics comprehensibly and attractively. Both newcomers and specialists in the field will benefit from this book.
| Author | : Kenneth Falconer |
| Publisher | : Wiley |
| Total Pages | : 0 |
| Release | : 1997-05-28 |
| Genre | : Mathematics |
| ISBN | : 9780471957249 |
Download Techniques in Fractal Geometry Book in PDF, ePub and Kindle
Following on from the success of Fractal Geometry: Mathematical Foundations and Applications, this new sequel presents a variety of techniques in current use for studying the mathematics of fractals. Much of the material presented in this book has come to the fore in recent years. This includes methods for studying dimensions and other parameters of fractal sets and measures, as well as more sophisticated techniques such as thermodynamic formalism and tangent measures. In addition to general theory, many examples and applications are described, in areas such as differential equations and harmonic analysis. This book is mathematically precise, but aims to give an intuitive feel for the subject, with underlying concepts described in a clear and accessible manner. The reader is assumed to be familiar with material from Fractal Geometry, but the main ideas and notation are reviewed in the first two chapters. Each chapter ends with brief notes on the development and current state of the subject. Exercises are included to reinforce the concepts. The author's clear style and up-to-date coverage of the subject make this book essential reading for all those who with to develop their understanding of fractal geometry.
| Author | : K. J. Falconer |
| Publisher | : |
| Total Pages | : 318 |
| Release | : 1990-03-30 |
| Genre | : Mathematics |
| ISBN | : |
Download Fractal Geometry Book in PDF, ePub and Kindle
An accessible introduction to fractals, useful as a text or reference. Part I is concerned with the general theory of fractals and their geometry, covering dimensions and their methods of calculation, plus the local form of fractals and their projections and intersections. Part II contains examples of fractals drawn from a wide variety of areas of mathematics and physics, including self-similar and self-affine sets, graphs of functions, examples from number theory and pure mathematics, dynamical systems, Julia sets, random fractals and some physical applications. Also contains many diagrams and illustrative examples, includes computer drawings of fractals, and shows how to produce further drawings for themselves.
| Author | : Gerald A. Edgar |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 252 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 1475741340 |
Download Measure, Topology, and Fractal Geometry Book in PDF, ePub and Kindle
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
