Integral, Probability, and Fractal Measures, Gerald A. Edgar
Автор: Michel L. Lapidus; Goran Radunovi?; Darko ?ubrini? Название: Fractal Zeta Functions and Fractal Drums ISBN: 3319447041 ISBN-13(EAN): 9783319447049 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph gives a state-of-the-art and accessible treatment of a new general higher-dimensional theory of complex dimensions, valid for arbitrary bounded subsets of Euclidean spaces, as well as for their natural generalization, relative fractal drums.
This book is a monograph on harmonic analysis and fractal analysis over local fields. It can also be used as lecture notes/textbook or as recommended reading for courses on modern harmonic and fractal analysis. It is as reliable as Fourier Analysis on Local Fields published in 1975 which is regarded as the first monograph in this research field.
The book is self-contained, with wide scope and deep knowledge, taking modern mathematics (such as modern algebra, point set topology, functional analysis, distribution theory, and so on) as bases. Specially, fractal analysis is studied in the viewpoint of local fields, and fractal calculus is established by pseudo-differential operators over local fields. A frame of fractal PDE is constructed based on fractal calculus instead of classical calculus. On the other hand, the author does his best to make those difficult concepts accessible to readers, illustrate clear comparison between harmonic analysis on Euclidean spaces and that on local fields, and at the same time provide motivations underlying the new concepts and techniques. Overall, it is a high quality, up to date and valuable book for interested readers.
Автор: P. Prusinkiewicz; Jaap A. Kaandorp Название: Fractal Modelling ISBN: 3642634028 ISBN-13(EAN): 9783642634024 Издательство: Springer Рейтинг: Цена: 95770.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: In this book, methods from fractal geometry are applied to model growth forms, taking as a case study a type of growth process which can be found among various taxonomic classes such as sponges and corals.
Автор: Herb Kunze; Davide La Torre; Franklin Mendivil; Ed Название: Fractal-Based Methods in Analysis ISBN: 1489973745 ISBN-13(EAN): 9781489973740 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Fractal-based methods are at the heart of modeling the behavior of phenomena at varying scales. This volume collates techniques for using IFS fractals, including the very latest cutting-edge methods, from more than 20 years of research in this area.
Автор: Christoph Bandt; Kenneth Falconer; Martina Z?hle Название: Fractal Geometry and Stochastics V ISBN: 3319361570 ISBN-13(EAN): 9783319361574 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: 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.
Автор: Christoph Bandt; Kenneth Falconer; Martina Z?hle Название: Fractal Geometry and Stochastics V ISBN: 3319186590 ISBN-13(EAN): 9783319186597 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: 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.
Автор: Christian Goltz Название: Fractal and Chaotic Properties of Earthquakes ISBN: 3540648933 ISBN-13(EAN): 9783540648932 Издательство: Springer Рейтинг: Цена: 87070.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book deals with the application of fractal and nonlinear time-series analysis to seismicity and earthquakes within the framework of earthquake prediction research.
Автор: Christoph Bandt; Peter M?rters; Martina Z?hle Название: Fractal Geometry and Stochastics IV ISBN: 3034600291 ISBN-13(EAN): 9783034600293 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: 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.
Автор: Gerald Edgar Название: Measure, Topology, and Fractal Geometry ISBN: 1441925694 ISBN-13(EAN): 9781441925695 Издательство: Springer Рейтинг: Цена: 38150.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
From reviews of the first edition:
"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...the book also contains many good illustrations of fractals (including 16 color plates)."
Mathematics Teaching
"The book can be recommended to students who seriously want to know about the mathematical foundation of fractals, and to lecturers who want to illustrate a standard course in metric topology by interesting examples."
Christoph Bandt, Mathematical Reviews
..".not only intended to fit mathematics students who wish to learn fractal geometry from its beginning but also students in computer science who are interested in the subject. Especially, for the last students the author gives the required topics from metric topology and measure theory on an elementary level. The book is written in a very clear style and contains a lot of exercises which should be worked out."
H.Haase, Zentralblatt
About the second edition: Changes throughout the text, taking into account developments in the subject matter since 1990; Major changes in chapter 6. Since 1990 it has become clear that there are two notions of dimension that play complementary roles, so the emphasis on Hausdorff dimension will be replaced by the two: Hausdorff dimension and packing dimension. 6.1 will remain, but a new section on packing dimension will follow it, then the old sections 6.2--6.4 will be re-written to show both types of dimension; Substantial change in chapter 7: new examples along with recent developments; Sections rewritten to be made clearer and more focused.
Автор: J.M. Li; Li L?; Man On Lai; B. Ralph Название: Image-Based Fractal Description of Microstructures ISBN: 1441953701 ISBN-13(EAN): 9781441953704 Издательство: Springer Рейтинг: Цена: 158380.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Fractal analysis has rapidly become an important field in materials science and engineering with broad applications to theoretical analysis and quantitative description of microstructures of materials. Fractal measurement, error analysis and fractal description of cluster growth, thin films and surfaces are emphasized in this book.
Автор: Christoph Bandt; Siegfried Graf; Martina Z?hle Название: Fractal Geometry and Stochastics ISBN: 3034877579 ISBN-13(EAN): 9783034877572 Издательство: Springer Рейтинг: Цена: 74530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: 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.
Автор: Christoph Bandt; Siegfried Graf; Martina Z?hle Название: Fractal Geometry and Stochastics II ISBN: 3034895429 ISBN-13(EAN): 9783034895422 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Based on a conference held in Greifswald/Koserow, Germany, August 28 - September 2, 1998
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