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Author : Michael F. Barnsley,Michael Fielding Barnsley
Publisher : Cambridge University Press
Page : 464 pages
File Size : 42,8 Mb
Release : 2006-09-07
Category : Computers
ISBN : 9780521844932
SuperFractals, first published in 2006, describes mathematics and algorithms for the first time in book form, with breathtaking colour pictures.
Author : Slawomir Nikiel
Publisher : Springer Science & Business Media
Page : 153 pages
File Size : 52,9 Mb
Release : 2007-05-28
Category : Computers
ISBN : 9781846286865
This book offers a comprehensive explanation of iterated function systems and how to use them in generation of complex objects. Discussion covers the most popular fractal models applied in the field of image synthesis; surveys iterated function system models; explores algorithms for creating and manipulating fractal objects, and techniques for implementing the algorithms, and more. The book includes both descriptive text and pseudo-code samples for the convenience of graphics application programmers.
Author : Gerald Edgar
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 41,8 Mb
Release : 2007-10-23
Category : Mathematics
ISBN : 9780387747491
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.
Author : Michael Fielding Barnsley
Publisher : Cambridge University Press
Page : 464 pages
File Size : 51,6 Mb
Release : 2006-09-07
Category : Computers
ISBN : 9781139867214
SuperFractals, first published in 2006, is the successor to Fractals Everywhere, in which the power and beauty of Iterated Function Systems were introduced and applied to producing startling and original images that reflect complex structures found for example in nature. This provoked the question of whether there is a deeper connection between topology, geometry, IFS and codes on the one hand and biology, DNA and protein development on the other. Now, 20 years later, Barnsley explains how IFS have developed in order to address this issue. Ideas such as fractal tops and superIFS are introduced, and the classical deterministic approach is combined with probabilistic ideas to produce new mathematics and algorithms that open a whole theory that could have applications in computer graphics, bioinformatics, economics, signal processing and beyond. For the first time these ideas are explained in book form, and illustrated with breathtaking pictures.
Author : Florentin Smarandache,V. Christianto
Publisher : Infinite Study
Page : 476 pages
File Size : 50,5 Mb
Release : 2007-01-01
Category : Science
ISBN : 9781599730424
The present book covers a wide-range of issues from alternative hadron models to their likely implications to New Energy research, including alternative interpretation of low-energy reaction (coldfusion) phenomena.The authors explored some new approaches to describe novel phenomena in particle physics. M Pitkanen introduces his nuclear string hypothesis derived from his Topological Geometrodynamics theory, while E. Goldfain discusses a number of nonlinear dynamics methods, including bifurcation, pattern formation (complex Ginzburg-Landau equation) to describe elementary particle masses. Fu Yuhua discusses a plausible method for prediction of phenomena related to New Energy development.F. Smarandache discusses his unmatter hypothesis, and A. Yefremov et al. discuss Yang-Mills field from Quaternion Space Geometry. Diego Rapoport discusses link between Torsion fields and Hadronic Mechanic.A.H. Phillips discusses semiconductor nanodevices, while V. and A. Boju discuss Digital Discrete and Combinatorial methods and their likely implications to New Energy research. Pavel Pintr et al. describe planetary orbit distance from modified Schrodinger equation, and M. Pereira discusses his new Hypergeometrical description of Standard Model of elementary particles.The present volume will be suitable for researchers interested in New Energy issues, in particular their link with alternative hadron models and interpretation.While some of these discussions may be found a bit too theoretical, our view is that once these phenomena can be put into rigorous theoretical framework, thereafter more 'open-minded' physicists may be more ready to consider these New Energy methods more seriously. Our basic proposition in the present book is that considering these new theoretical insights, one can expect there are new methods to generate New Energy technologies which are clearly within reach of human knowledge in the coming years.
Author : Christoph Bandt,Peter Mörters,Martina Zähle
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 51,9 Mb
Release : 2010-01-08
Category : Mathematics
ISBN : 9783034600309
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.
Author : Janusz Czyz
Publisher : World Scientific
Page : 764 pages
File Size : 53,8 Mb
Release : 1994-01-14
Category : Electronic
ISBN : 9789814506953
In this book, many ideas by Felix Hausdorff are described and contemporary mathematical theories stemming from them are sketched. Contents:The Paradox of the SphereInaccessible Numbers and the Hierarchal Structure of Set TheoryThe Hausdorff Measures, Hausdorff Dimensions and FractalsThe Baker-Campbell-Hausdorff FormulaHausdorff MatricesAppendixReferences Readership: Mathematicians, logicians and mathematical physicists. Keywords:Banach-Tarski Paradox;Inaccessible Cardinals;Large Cardinals;Hausdorff Dimension;Fractal;Baker-Campbell-Hausdorff Formula;Lie Superalgebra;Lie Supergroup;Hausdorfd Matrix;Hausdorff Summation;Young-Hausdorff InequalityReview: “Each chapter concludes with an extensive bibliography on the subject. The book should be accessible to mathematicians, pure and applied, as well as to theoretical physicists.” Mathematics Abstracts
Author : Michael F. Barnsley
Publisher : Courier Corporation
Page : 560 pages
File Size : 41,8 Mb
Release : 2013-10-03
Category : Mathematics
ISBN : 9780486320342
Up-to-date text focuses on how fractal geometry can be used to model real objects in the physical world, with an emphasis on fractal applications. Includes solutions, hints, and a bonus CD.
Author : Janusz Czy?
Publisher : World Scientific
Page : 768 pages
File Size : 45,9 Mb
Release : 1994
Category : Mathematics
ISBN : 9810201893
In this book, many ideas by Felix Hausdorff are described and contemporary mathematical theories stemming from them are sketched.
Author : Michael F. Barnsley
Publisher : Academic Press
Page : 548 pages
File Size : 44,6 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483257693
Fractals Everywhere, Second Edition covers the fundamental approach to fractal geometry through iterated function systems. This 10-chapter text is based on a course called "Fractal Geometry", which has been taught in the School of Mathematics at the Georgia Institute of Technology. After a brief introduction to the subject, this book goes on dealing with the concepts and principles of spaces, contraction mappings, fractal construction, and the chaotic dynamics on fractals. Other chapters discuss fractal dimension and interpolation, the Julia sets, parameter spaces, and the Mandelbrot sets. The remaining chapters examine the measures on fractals and the practical application of recurrent iterated function systems. This book will prove useful to both undergraduate and graduate students from many disciplines, including mathematics, biology, chemistry, physics, psychology, mechanical, electrical, and aerospace engineering, computer science, and geophysical science.
Author : A.V. Skorokhod,Yu.V. Borovskikh
Publisher : Walter de Gruyter GmbH & Co KG
Page : 532 pages
File Size : 45,6 Mb
Release : 2020-05-18
Category : Law
ISBN : 9783112318768
No detailed description available for "Exploring Stochastic Laws".
Author : Douglas H. Werner,Raj Mittra
Publisher : Wiley-IEEE Press
Page : 832 pages
File Size : 55,8 Mb
Release : 2000
Category : Science
ISBN : UOM:39015047533461
"FRONTIERS IN ELECTROMAGNETICS is the first all-in-one resource to bring in-depth original papers on today's major advances in long-standing electromagnetics problems. Highly regarded editors Douglas H. Werner and Raj Mittra have meticulously selected new contributed papers from preeminent researchers in the field to provide state-of-the-art discussions on emerging areas of electromagnetics. Antenna and microwave engineers and students will find key insights into current trends and techniques of electromagnetics likely to shape future directions of this increasingly important topic. Each chapter includes a comprehensive analysis and ample references on innovative subjects that range from combining electromagnetic theory with mathematical concepts to the most recent techniques in electromagnetic optimization and estimation. The contributors also present the latest developments in analytical and numerical methods for solving electromagnetics problems. With a level of expertise unmatched in the field, FRONTIERS IN ELECTROMAGNETICS provides readers with a solid foundation to understand this rapidly changing area of technology. Topics covering fast-developing applications in electromagnetics include: * Fractal electrodynamics, fractal antennas and arrays, and scattering from fractally rough surfaces * Knot electrodynamics * The role of group theory and symmetry * Fractional calculus * Lommel and multiple expansions. Professors: To request an examination copy simply e-mail [email protected]." Sponsored by: IEEE Microwave Theory and Techniques Society, IEEE Antennas and Propagation Society.
Author : David Mumford,Caroline Series,David James Wright,David Wright
Publisher : Cambridge University Press
Page : 422 pages
File Size : 47,9 Mb
Release : 2002-04-25
Category : Computers
ISBN : 0521352533
Felix Klein, one of the great nineteenth-century geometers, rediscovered in mathematics an idea from Eastern philosophy: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple co-existing symmetries. For a century these ideas barely existed outside the imagination of mathematicians. However in the 1980s the authors embarked on the first computer exploration of Klein's vision, and in doing so found many further extraordinary images. Join the authors on the path from basic mathematical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can follow the step-by-step instructions for writing programs that generate the images. Others can see how the images relate to ideas at the forefront of research.
Author : Gerald A. Edgar
Publisher : Springer Science & Business Media
Page : 231 pages
File Size : 43,8 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781475741346
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
Author : Anonim
Publisher : Unknown
Page : 406 pages
File Size : 47,6 Mb
Release : 2009
Category : Mathematicians
ISBN : UCSD:31822036925519