Автор: West Bruce, Bologna Mauro, Grigolini Paolo Название: Physics of Fractal Operators ISBN: 0387955542 ISBN-13(EAN): 9780387955544 Издательство: Springer Рейтинг: Цена: 13060.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text describes the statistcal behavior of complex systems and shows how the fractional calculus can be used to model the behavior. The book gives general strategies for understanding wave propagation through random media, the nonlinear response of complex materials, and the fluctuations of heat transport in heterogeneous materials.
Описание: Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary.Key Features: - The Riemann hypothesis is given a natural geometric reformulation in the context of vibrating fractal strings- Complex dimensions of a fractal string, defined as the poles of an associated zeta function, are studied in detail, then used to understand the oscillations intrinsic to the corresponding fractal geometries and frequency spectra- Explicit formulas are extended to apply to the geometric, spectral, and dynamic zeta functions associated with a fractal- Examples of such formulas include Prime Orbit Theorem with error term for self-similar flows, and a tube formula- The method of diophantine approximation is used to study self-similar strings and flows- Analytical and geometric methods are used to obtain new results about the vertical distribution of zeros of number-theoretic and other zeta functionsThroughout new results are examined. The final chapter gives a new definition of fractality as the presence of nonreal complex dimensions with positive real parts.The significant studies and problems illuminated in this work may be used in a classroom setting at the graduate level. Fractal Geometry, Complex Dimensions and Zeta Functions will appeal to students and researchers in number theory, fractal geometry, dynamical systems, spectral geometry, and mathematical physics.
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: 18167.00 р. 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: Jacques B?lair; Serge Dubuc Название: Fractal Geometry and Analysis ISBN: 9401579334 ISBN-13(EAN): 9789401579339 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of the NATO Advanced Study Institute and Seminaire de mathematiques superieures, Montreal, Canada, July 3-21, 1989
Автор: Yingjie Liang, Wen Chen, Wei Cai Название: Hausdorff Calculus: Applications to Fractal Systems ISBN: 3110606925 ISBN-13(EAN): 9783110606928 Издательство: Walter de Gruyter Цена: 22305.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The series is devoted to the publication of high-level monographs which cover progresses in fractional calculus research in mathematics and applications in physics, mechanics, engineering and biology etc. Methodological aspects e.g., theory, modeling and computational methods are presented from mathematical point of view, and emphases are placed in computer simulation, analysis, design and control of application-oriented issues in various scientific disciplines. It is designed for mathematicians, and researchers using fractional calculus as a tool in the field of physics, mechanics, engineering and biology. Contributions which are interdisciplinary and which stimulate further research at the crossroads of sciences and engineering are particularly welcomed. Editor-in-chief: Changpin Li, Shanghai University, China Editorial Board: Virginia Kiryakova, Bulgarian Academy of Sciences, Bulgaria Francesco Mainardi, University of Bologna, Italy Dragan Spasic, University of Novi Sad, Serbia Bruce Ian Henry, University of New South Wales, Australia YangQuan Chen, University of California, Merced, USA Please submit book proposals to Professor Changpin Li: lcp@shu.edu.cn
Автор: Banerjee Santo, Easwaramoorthy D., Gowrisankar A. Название: Fractal Functions, Dimensions and Signal Analysis ISBN: 3030626717 ISBN-13(EAN): 9783030626716 Издательство: Springer Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book introduces the fractal interpolation functions (FIFs) in approximation theory to the readers and the concerned researchers in advanced level. It also covers the dimension of fractal functions and investigates the relationship between the fractal dimension and the fractional order of fractal interpolation functions.
Автор: Yang, Xiao-Jun Название: Fractal Vector Analysis ISBN: 0323852386 ISBN-13(EAN): 9780323852388 Издательство: Elsevier Science Рейтинг: Цена: 19159.00 р. Наличие на складе: Поставка под заказ.
Описание: Fractal Vector Analysis: A Local Fractional Calculus Point of View provides an overview of fractal vector calculus, which includes local fractional line integrals, local fractional surface integrals, and local fractional volume integrals. The book presents an overview of key breakthroughs in classical calculus in vector spaces. Readers will gain a deeper understanding of some applications of local fractional calculus from the fractals point of view. Coverage will include double and triple local fractional integrals, as well as elliptic, parabolic and hyperbolic local fractional PDEs. The potential audience includes, but is not limited to, researchers in the fields of mathematics, physics, and engineering. It could also be used as a textbook for an introductory course on fractal vector calculus and applications, for senior undergraduate and graduate students in the above-mentioned areas.
Автор: Falconer Kenneth Название: Fractal Geometry ISBN: 111994239X ISBN-13(EAN): 9781119942399 Издательство: Wiley Рейтинг: Цена: 6803.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This comprehensive and popular textbook makes fractal geometry accessible to final-year undergraduate math or physics majors, while also serving as a reference for research mathematicians or scientists. This up-to-date edition covers introductory multifractal theory, random fractals, and modern applications in finance and science.
Автор: Takahashi Название: Microcirculation in Fractal Branching Networks ISBN: 4431545077 ISBN-13(EAN): 9784431545071 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents a new method for analyzing the structure and function of the biological branching systems of fractal trees, with a focus on microcirculation. Branching systems in humans (vascular and bronchial trees) and those in the natural world (plants, trees, and rivers) are characterized by a fractal nature.
Автор: Christoph Bandt; Kenneth Falconer; Martina Z?hle Название: Fractal Geometry and Stochastics V ISBN: 3319186590 ISBN-13(EAN): 9783319186597 Издательство: Springer Рейтинг: Цена: 19564.00 р. 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.
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