Fractal Growth Phenomena 2nd Edition
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| Author | : Tamas Vicsek |
| Publisher | : World Scientific |
| Total Pages | : 531 |
| Release | : 1992-06-25 |
| Genre | : Science |
| ISBN | : 9814506192 |
The investigation of phenomena involving fractals has gone through a spectacular development in the last decade. Many physical, technological and biological processes have been shown to be related to and described by objects with non-integer dimensions. The physics of far-from-equilibrium growth phenomena represents one of the most important fields in which fractal geometry is widely applied. During the last couple of years considerable experimental, numerical and theoretical information has accumulated concerning such processes.This book, written by a well-known expert in the field, summarizes the basic concepts born in the studies of fractal growth and also presents some of the most important new results for more specialized readers. It also contains 15 beautiful color plates demonstrating the richness of the geometry of fractal patterns. Accordingly, it may serve as a textbook on the geometrical aspects of fractal growth and it treats this area in sufficient depth to make it useful as a reference book. No specific mathematical knowledge is required for reading this book which is intended to give a balanced account of the field.
| Author | : Tam s Vicsek |
| Publisher | : World Scientific |
| Total Pages | : 542 |
| Release | : 1992 |
| Genre | : Mathematics |
| ISBN | : 9789810206680 |
The investigation of phenomena involving fractals has gone through a spectacular development in the last decade. Many physical, technological and biological processes have been shown to be related to and described by objects with non-integer dimensions. The physics of far-from-equilibrium growth phenomena represents one of the most important fields in which fractal geometry is widely applied. During the last couple of years considerable experimental, numerical and theoretical information has accumulated concerning such processes. This book, written by a well-known expert in the field, summarizes the basic concepts born in the studies of fractal growth and also presents some of the most important new results for more specialized readers. It also contains 15 beautiful color plates demonstrating the richness of the geometry of fractal patterns. Accordingly, it may serve as a textbook on the geometrical aspects of fractal growth and it treats this area in sufficient depth to make it useful as a reference book. No specific mathematical knowledge is required for reading this book which is intended to give a balanced account of the field.
| Author | : Kenneth Falconer |
| Publisher | : John Wiley & Sons |
| Total Pages | : 404 |
| Release | : 2014-02-03 |
| Genre | : Mathematics |
| ISBN | : 111994239X |
The seminal text on fractal geometry for students and researchers: extensively revised and updated with new material, notes and references that reflect recent directions. Interest in fractal geometry continues to grow rapidly, both as a subject that is fascinating in its own right and as a concept that is central to many areas of mathematics, science and scientific research. Since its initial publication in 1990 Fractal Geometry: Mathematical Foundations and Applications has become a seminal text on the mathematics of fractals. The book introduces and develops the general theory and applications of fractals in a way that is accessible to students and researchers from a wide range of disciplines. Fractal Geometry: Mathematical Foundations and Applications is an excellent course book for undergraduate and graduate students studying fractal geometry, with suggestions for material appropriate for a first course indicated. The book also provides an invaluable foundation and reference for researchers who encounter fractals not only in mathematics but also in other areas across physics, engineering and the applied sciences. Provides a comprehensive and accessible introduction to the mathematical theory and applications of fractals Carefully explains each topic using illustrative examples and diagrams Includes the necessary mathematical background material, along with notes and references to enable the reader to pursue individual topics Features a wide range of exercises, enabling readers to consolidate their understanding Supported by a website with solutions to exercises and additional material www.wileyeurope.com/fractal Leads onto the more advanced sequel Techniques in Fractal Geometry (also by Kenneth Falconer and available from Wiley)
| Author | : Fernando Brambila |
| Publisher | : BoD – Books on Demand |
| Total Pages | : 296 |
| Release | : 2017-06-14 |
| Genre | : Mathematics |
| ISBN | : 9535131915 |
Fractal analysis has entered a new era. The applications to different areas of knowledge have been surprising. Let us begin with the fractional calculus-fractal geometry relationship, which allows for modeling with extreme precision of phenomena such as diffusion in porous media with fractional partial differential equations in fractal objects. Where the order of the equation is the same as the fractal dimension, this allows us to make calculations with enormous precision in diffusion phenomena-particularly in the oil industry, for new spillage prevention. Main applications to industry, design of fractal antennas to receive all frequencies and that is used in all cell phones, spacecraft, radars, image processing, measure, porosity, turbulence, scattering theory. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book: "Part I: Petroleum Industry and Numerical Analysis"; "Part II: Fractal Antennas, Spacecraft, Radars, Image Processing, and Measure"; and "Part III: Scattering Theory, Porosity, and Turbulence." It's impossible to picture today's research without fractal analysis.
| Author | : Duan Feng |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 612 |
| Release | : 2005-07-04 |
| Genre | : Science |
| ISBN | : 9813102195 |
This is volume 1 of two-volume book that presents an excellent, comprehensive exposition of the multi-faceted subjects of modern condensed matter physics, unified within an original and coherent conceptual framework. Traditional subjects such as band theory and lattice dynamics are tightly organized in this framework, while many new developments emerge spontaneously from it. In this volume,• Basic concepts are emphasized; usually they are intuitively introduced, then more precisely formulated, and compared with correlated concepts.• A plethora of new topics, such as quasicrystals, photonic crystals, GMR, TMR, CMR, high Tc superconductors, Bose-Einstein condensation, etc., are presented with sharp physical insights.• Bond and band approaches are discussed in parallel, breaking the barrier between physics and chemistry.• A highly accessible chapter is included on correlated electronic states — rarely found in an introductory text.• Introductory chapters on tunneling, mesoscopic phenomena, and quantum-confined nanostructures constitute a sound foundation for nanoscience and nanotechnology.• The text is profusely illustrated with about 500 figures.
| Author | : Alejandro G. Marangoni |
| Publisher | : CRC Press |
| Total Pages | : 521 |
| Release | : 2012-09-25 |
| Genre | : Science |
| ISBN | : 1439887624 |
Lipid science and technology has grown exponentially since the turn of the millennium. The replacement of unhealthy fats in the foods we eat, and of petroleum-based ingredients in the cosmetics we use, is a top priority for consumers, government, and industry alike. Particularly for the food industry, removing trans fats and reducing saturated fat in foods has produced a major challenge: How do we create structure with a minimum amount of structuring material? A comprehensive omnibus, Structure and Properties of Fat Crystal Networks, Second Edition clarifies the complex relationship between triglyceride composition of vegetable oils and fats, the physicochemical properties of triglycerides in simple and complex model systems, their crystallization, and melting behavior. Furthermore, it dives into the implications of these materials on the functional properties in food systems. Replacing ingredients, optimizing functionality, and improving health necessitate the ability to relate the structural organization present in a material to macroscopic properties. Revisiting concepts and approaches used in the study of fat crystal networks, the second edition includes new developments, particularly intermolecular interactions, and thoroughly updated analytical methods. Succinct, clear, and complete, this book is designed to help students and early-career researchers make the study of fats a more focused, less frustrating, and less expensive endeavor.
| Author | : Mihai V. Putz |
| Publisher | : CRC Press |
| Total Pages | : 1479 |
| Release | : 2022-05-30 |
| Genre | : Science |
| ISBN | : 0429634099 |
New Frontiers in Nanochemistry: Concepts, Theories, and Trends, 3-Volume Set explains and explores the important fundamental and advanced modern concepts from various areas of nanochemistry and, more broadly, the nanosciences. This innovative and one-of-a kind set consists of three volumes that focus on structural nanochemistry, topological nanochemistry, and sustainable nanochemistry respectively, collectively forming an explicative handbook in nanochemistry. The compilation provides a rich resource that is both thorough and accessible, encompassing the core concepts of multiple areas of nanochemistry. It also explores the content through a trans-disciplinary lens, integrating the basic and advanced modern concepts in nanochemistry with various examples, applications, issues, tools, algorithms, and even historical notes on the important people from physical, quantum, theoretical, mathematical, and even biological chemistry.
| Author | : Mihai Putz |
| Publisher | : CRC Press |
| Total Pages | : 606 |
| Release | : 2020-05-10 |
| Genre | : Technology & Engineering |
| ISBN | : 0429665881 |
New Frontiers in Nanochemistry: Concepts, Theories, and Trends, Volume 1: Structural Nanochemistry is the first volume of the new three-volume set that explains and explores the important concepts from various areas within the nanosciences. This first volume focuses on structural nanochemistry and encompasses the general fundamental aspects of nanochemistry while simultaneously incorporating crucial material from other fields, in particular mathematic and natural sciences, with specific attention to multidisciplinary chemistry. Under the broad expertise of the editor, the volume contains 50 concise yet comprehensive entries from world-renowned scholars, alphabetically organizing a multitude of essential basic and advanced concepts, ranging from algebraic chemistry to new energy technology, from the bondonic theory of chemistry to spintronics, and from fractal dimension and kinetics to quantum dots and tight binding—and much more. The entries contain definitions, short characterizations, uses and usefulness, limitations, references, and more.
| Author | : Massimiliano Giona |
| Publisher | : World Scientific |
| Total Pages | : 722 |
| Release | : 1997 |
| Genre | : Chaotic behavior in systems |
| ISBN | : 981452963X |
"This volume is a collection of the papers presented at the International Conference on Fractal Concepts and the Application of Chaos in Chemical Engineering Problems. The book provides a detailed description of the current research on the application of fractal concepts, nonlinear dynamics and disordered systems in chemical engineering, with emphasis on interdisciplinary connections with related fields, such as control theory of nonlinear systems, dynamic theory of fractals, transport theory and physical chemistry of heterogeneous materials."--Publisher's website.
| Author | : Antonio Di Ieva |
| Publisher | : Springer |
| Total Pages | : 583 |
| Release | : 2016-08-03 |
| Genre | : Medical |
| ISBN | : 1493939955 |
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.
