Download Ebook, Epub, Textbook, quickly and easily or read online full books anytime and anywhere. Click GET BOOK button and get unlimited access by create free account.

Fractal Geometry by Kenneth Falconer

Title Fractal Geometry
Author Kenneth Falconer
Publisher John Wiley & Sons
Release 2004-01-09
Category Mathematics
Total Pages 366
ISBN 9780470871355
Language English, Spanish, and French
GET BOOK

Book Summary:

The Fractal Geometry of Nature by Benoit Mandelbrot

Title The Fractal Geometry of Nature
Author Benoit Mandelbrot
Publisher Echo Point Books & Media, LLC
Release 2021-07-16
Category
Total Pages 490
ISBN 9781648370403
Language English, Spanish, and French
GET BOOK

Book Summary:

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.

Title Fractal Geometry and Stochastics IV
Author Christoph Bandt
Publisher Springer Science & Business Media
Release 2010-01-08
Category Mathematics
Total Pages 290
ISBN 3034600305
Language English, Spanish, and French
GET BOOK

Book Summary:

Over the last fifteen years fractal geometry has established itself as a substantial mathematical theory in its own right. The interplay between fractal geometry, analysis and stochastics has highly influenced recent developments in mathematical modeling of complicated structures. This process has been forced by problems in these areas related to applications in statistical physics, biomathematics and finance. This book is a collection of survey articles covering many of the most recent developments, like Schramm-Loewner evolution, fractal scaling limits, exceptional sets for percolation, and heat kernels on fractals. The authors were the keynote speakers at the conference "Fractal Geometry and Stochastics IV" at Greifswald in September 2008.

Title Fractal Geometry and Stochastics VI
Author Uta Freiberg
Publisher Birkhäuser
Release 2021-04-27
Category Mathematics
Total Pages 307
ISBN 9783030596484
Language English, Spanish, and French
GET BOOK

Book Summary:

This collection of contributions originates from the well-established conference series "Fractal Geometry and Stochastics" which brings together researchers from different fields using concepts and methods from fractal geometry. Carefully selected papers from keynote and invited speakers are included, both discussing exciting new trends and results and giving a gentle introduction to some recent developments. The topics covered include Assouad dimensions and their connection to analysis, multifractal properties of functions and measures, renewal theorems in dynamics, dimensions and topology of random discrete structures, self-similar trees, p-hyperbolicity, phase transitions from continuous to discrete scale invariance, scaling limits of stochastic processes, stemi-stable distributions and fractional differential equations, and diffusion limited aggregation. Representing a rich source of ideas and a good starting point for more advanced topics in fractal geometry, the volume will appeal to both established experts and newcomers.

Fractal Geometry by Kenneth Falconer

Title Fractal Geometry
Author Kenneth Falconer
Publisher John Wiley & Sons
Release 2007-12-10
Category Mathematics
Total Pages 366
ISBN 0470299452
Language English, Spanish, and French
GET BOOK

Book Summary:

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

Fractal Geometry and Analysis by Jacques Bélair

Title Fractal Geometry and Analysis
Author Jacques Bélair
Publisher Springer Science & Business Media
Release 2013-11-11
Category Mathematics
Total Pages 472
ISBN 9401579318
Language English, Spanish, and French
GET BOOK

Book Summary:

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.

Title The Fractal Geometry of the Brain
Author Antonio Di Ieva
Publisher Springer
Release 2016-08-03
Category Medical
Total Pages 585
ISBN 1493939955
Language English, Spanish, and French
GET BOOK

Book Summary:

Reviews the most intriguing applications of fractal analysis in neuroscience with a focus on current and future potential, limits, advantages, and disadvantages. Will bring an understanding of fractals to clinicians and researchers also if they do not have a mathematical background, and will serve as a good tool for teaching the translational applications of computational models to students and scholars of different disciplines. This comprehensive collection is organized in four parts: (1) Basics of fractal analysis; (2) Applications of fractals to the basic neurosciences; (3) Applications of fractals to the clinical neurosciences; (4) Analysis software, modeling and methodology.

Title Fractal Geometry and Stochastics
Author Christoph Bandt
Publisher Birkhäuser
Release 2013-11-27
Category Mathematics
Total Pages 248
ISBN 3034877552
Language English, Spanish, and French
GET BOOK

Book Summary:

Fractal geometry is a new and promising field for researchers from different disciplines such as mathematics, physics, chemistry, biology and medicine. It is used to model complicated natural and technical phenomena. The most convincing models contain an element of randomness so that the combination of fractal geometry and stochastics arises in between these two fields. It contains contributions by outstanding mathematicians and is meant to highlight the principal directions of research in the area. The contributors were the main speakers attending the conference "Fractal Geometry and Stochastics" held at Finsterbergen, Germany, in June 1994. This was the first international conference ever to be held on the topic. The book is addressed to mathematicians and other scientists who are interested in the mathematical theory concerning: • Fractal sets and measures • Iterated function systems • Random fractals • Fractals and dynamical systems, and • Harmonic analysis on fractals. The reader will be introduced to the most recent results in these subjects. Researchers and graduate students alike will benefit from the clear expositions.

Title Measure Topology and Fractal Geometry
Author Gerald Edgar
Publisher Springer Science & Business Media
Release 2007-10-23
Category Mathematics
Total Pages 272
ISBN 0387747494
Language English, Spanish, and French
GET BOOK

Book Summary:

Based on a course given to talented high-school students at Ohio University in 1988, this book is essentially an advanced undergraduate textbook about the mathematics of fractal geometry. It nicely bridges the gap between traditional books on topology/analysis and more specialized treatises on fractal geometry. The book treats such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology. It takes into account developments in the subject matter since 1990. Sections are clear and focused. The book contains plenty of examples, exercises, and good illustrations of fractals, including 16 color plates.

Title Fractal Geometry and Stochastics V
Author Christoph Bandt
Publisher Birkhäuser
Release 2015-07-08
Category Mathematics
Total Pages 340
ISBN 3319186604
Language English, Spanish, and French
GET BOOK

Book Summary:

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.