Download or read book A Random Walk Through Fractal Dimensions written by Brian H. Kaye and published by John Wiley & Sons. This book was released on 2008-07-11 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal geometry is revolutionizing the descriptive mathematics of applied materials systems. Rather than presenting a mathematical treatise, Brian Kaye demonstrates the power of fractal geometry in describing materials ranging from Swiss cheese to pyrolytic graphite. Written from a practical point of view, the author assiduously avoids the use of equations while introducing the reader to numerous interesting and challenging problems in subject areas ranging from geography to fine particle science. The second edition of this successful book provides up-to-date literature coverage of the use of fractal geometry in all areas of science. From reviews of the first edition: "...no stone is left unturned in the quest for applications of fractal geometry to fine particle problems....This book should provide hours of enjoyable reading to those wishing to become acquainted with the ideas of fractal geometry as applied to practical materials problems." MRS Bulletin

Download or read book A Random Walk Through Fractal Dimensions written by Brian Howard Kaye and published by Weinheim, Germany : VCH Verlagsgesellschaft ; New York, NY, USA : VCH Publishers. This book was released on 1989 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal geometry is revolutionizing the descriptive mathematics of applied materials systems. Rather than presenting a mathematical treatise, Brian Kaye demonstrates the power of fractal geometry in describing materials ranging from Swiss cheese to pyrolytic graphite. Written from a practical point of view, the author assiduously avoids the use of equations while introducing the reader to numerous interesting and challenging problems in subject areas ranging from geography to fine particle science. The second edition of this successful book provides up-to-date literature coverage of the use of fractal geometry in all areas of science. From reviews of the first edition: '...no stone is left unturned in the quest for applications of fractal geometry to fine particle problems....This book should provide hours of enjoyable reading to those wishing to become acquainted with the ideas of fractal geometry as applied to practical materials problems.' MRS Bulletin

Download or read book Fractals in Probability and Analysis written by Christopher J. Bishop and published by Cambridge University Press. This book was released on 2017 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.

Download or read book A Random Walk Through Fractal Dimensions written by Brian Howard Kaye and published by . This book was released on 1989 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is both to stimulate interest in fractal geometry and to be useful as a first text to those who use fractal geometry in their work. It contains many suggestions for experiments, and tends to rely on graphic examples, rather than swamping the reader with equations and symbols.

Download or read book Random Walk and the Heat Equation written by Gregory F. Lawler and published by American Mathematical Soc.. This book was released on 2010-11-22 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: The heat equation can be derived by averaging over a very large number of particles. Traditionally, the resulting PDE is studied as a deterministic equation, an approach that has brought many significant results and a deep understanding of the equation and its solutions. By studying the heat equation and considering the individual random particles, however, one gains further intuition into the problem. While this is now standard for many researchers, this approach is generally not presented at the undergraduate level. In this book, Lawler introduces the heat equations and the closely related notion of harmonic functions from a probabilistic perspective. The theme of the first two chapters of the book is the relationship between random walks and the heat equation. This first chapter discusses the discrete case, random walk and the heat equation on the integer lattice; and the second chapter discusses the continuous case, Brownian motion and the usual heat equation. Relationships are shown between the two. For example, solving the heat equation in the discrete setting becomes a problem of diagonalization of symmetric matrices, which becomes a problem in Fourier series in the continuous case. Random walk and Brownian motion are introduced and developed from first principles. The latter two chapters discuss different topics: martingales and fractal dimension, with the chapters tied together by one example, a random Cantor set. The idea of this book is to merge probabilistic and deterministic approaches to heat flow. It is also intended as a bridge from undergraduate analysis to graduate and research perspectives. The book is suitable for advanced undergraduates, particularly those considering graduate work in mathematics or related areas.

Download or read book Galileo Unbound written by David D. Nolte and published by Oxford University Press. This book was released on 2018-07-12 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.

Download or read book Two Dimensional Random Walk written by Serguei Popov and published by Cambridge University Press. This book was released on 2021-03-18 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: A visual, intuitive introduction in the form of a tour with side-quests, using direct probabilistic insight rather than technical tools.

Download or read book The Fractal Dimension of Architecture written by Michael J. Ostwald and published by Birkhäuser. This book was released on 2016-09-01 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal analysis is a method for measuring, analysing and comparing the formal or geometric properties of complex objects. In this book it is used to investigate eighty-five buildings that have been designed by some of the twentieth-century’s most respected and celebrated architects. Including designs by Le Corbusier, Eileen Gray, Frank Lloyd Wright, Robert Venturi, Frank Gehry, Peter Eisenman, Richard Meier and Kazuyo Sejima amongst others, this book uses mathematics to analyse arguments and theories about some of the world’s most famous designs. Starting with 625 reconstructed architectural plans and elevations, and including more than 200 specially prepared views of famous buildings, this book presents the results of the largest mathematical study ever undertaken into architectural design and the largest single application of fractal analysis presented in any field. The data derived from this study is used to test three overarching hypotheses about social, stylistic and personal trends in design, along with five celebrated arguments about twentieth-century architecture. Through this process the book offers a unique mathematical insight into the history and theory of design.

Download or read book Proceedings of the 2011 International Conference on Informatics Cybernetics and Computer Engineering ICCE2011 November 19 20 2011 Melbourne Australia written by Liangzhong Jiang and published by Springer Science & Business Media. This book was released on 2011-11-24 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume includes a set of selected papers extended and revised from the International Conference on Informatics, Cybernetics, and Computer Engineering. Intelligent control is a class of control techniques, that use various AI computing approaches like neural networks, Bayesian probability, fuzzy logic, machine learning, evolutionary computation and genetic algorithms. Intelligent control can be divided into the following major sub-domains: Neural network control Bayesian control Fuzzy (logic) control Neuro-fuzzy control Expert Systems Genetic control Intelligent agents (Cognitive/Conscious control) New control techniques are created continuously as new models of intelligent behavior are created and computational methods developed to support them. Networks may be classified according to a wide variety of characteristics such as medium used to transport the data, communications protocol used, scale, topology, organizational scope, etc. ICCE 2011 Volume 1 is to provide a forum for researchers, educators, engineers, and government officials involved in the general areas of Intelligent Control and Network Communication to disseminate their latest research results and exchange views on the future research directions of these fields. 90 high-quality papers are included in the volume. Each paper has been peer-reviewed by at least 2 program committee members and selected by the volume editor Special thanks to editors, staff of association and every participants of the conference. It’s you make the conference a success. We look forward to meeting you next year.

Download or read book Fractals in Rock Mechanics written by Heping Xie and published by CRC Press. This book was released on 2020-12-18 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Important developments in the progress of the theory of rock mechanics during recent years are based on fractals and damage mechanics. The concept of fractals has proved to be a useful way of describing the statistics of naturally occurring geometrics. Natural objects, from mountains and coastlines to clouds and forests, are found to have boundaries best described as fractals. Fluid flow through jointed rock masses and clusterings of earthquakes are found to follow fractal patterns in time and space. Fracturing in rocks at all scales, from the microscale (microcracks) to the continental scale (megafaults), can lead to fractal structures. The process of diagenesis and pore geometry of sedimentary rock can be quantitatively described by fractals, etc. The book is mainly concerned with these developments, as related to fractal descriptions of fragmentations, damage and fracture of rocks, rock burst, joint roughness, rock porosity and permeability, rock grain growth, rock and soil particles, shear slips, fluid flow through jointed rocks, faults, earthquake clustering, and so on. The prime concerns of the book are to give a simple account of the basic concepts, methods of fractal geometry, and their applications to rock mechanics, geology, and seismology, and also to discuss damage mechanics of rocks and its application to mining engineering. The book can be used as a textbook for graduate students, by university teachers to prepare courses and seminars, and by active scientists who want to become familiar with a fascinating new field.

Download or read book Biophysical Chemistry of Fractal Structures and Processes in Environmental Systems written by Nicola Senesi and published by John Wiley & Sons. This book was released on 2008-09-15 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to provide the scientific community with a novel and valuable approach based on fractal geometry concepts on the important properties and processes of diverse environmental systems. The interpretation of complex environmental systems using modern fractal approaches is compared and contrasted with the more classical approaches. The book will provide the fundamental knowledge necessary for solving practical environmental problems. Furthermore, it examinea how the fractal approach has been applied in order to understand the structure and reactivity of natural, environmental systems including flocs, sediments, soils, microorganisms and humic substances.

Download or read book Physical Properties of Fats Oils and Emulsifiers written by Neil Widlak and published by The American Oil Chemists Society. This book was released on 1999 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fundamental understanding of the physical properties of fats, oils, and emulsifiers is essential to help the food processing industry meet consumer needs for quality foods with improved nutritional properties at a minimal cost. Food scientists, product development technologists, and food processors will be interested in this overview of both the fundamentals of fat crystallization and the application of those fundamental principles of food systems. This book was developed from papers that were presented at the conference on "The Physical Properties of Fats, Oils, and Emulsifiers with Application to Foods".

Download or read book MATLAB written by Vasilios Katsikis and published by BoD – Books on Demand. This book was released on 2012-09-26 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This excellent book represents the final part of three-volumes regarding MATLAB-based applications in almost every branch of science. The book consists of 19 excellent, insightful articles and the readers will find the results very useful to their work. In particular, the book consists of three parts, the first one is devoted to mathematical methods in the applied sciences by using MATLAB, the second is devoted to MATLAB applications of general interest and the third one discusses MATLAB for educational purposes. This collection of high quality articles, refers to a large range of professional fields and can be used for science as well as for various educational purposes.

Download or read book Advances in Agronomy written by and published by Academic Press. This book was released on 1997-12-10 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by international authorities in agronomy, Volume 63 contains five comprehensive reviews covering key contemporary topics on crop and soil sciences. As always, the topics are varied and exemplary of the array of subject matter covered by this long-running serial. With this latest volume, Advances in Agronomy continues to be recognized as a leading reference and as a first-rate source of the latest research in agronomy, crop science, and soil science. * articles on: * Applications of fractals to soil studies * The response of cool season grain legumes to soil abiotic stress * Kura Clover * Ultisols * Formation mechanisms of complex organic structures in soil habitats

Download or read book CRC Concise Encyclopedia of Mathematics written by Eric W. Weisstein and published by CRC Press. This book was released on 2002-12-12 with total page 3253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Download or read book Revival Fractals in Soil Science 1998 written by Philippe Baveye and published by CRC Press. This book was released on 2017-07-28 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: The application of fractals and fractal geometry in soil science has become increasingly important over the last few years. This self-contained and timely book was designed to provide detailed and comprehensive information on the current status of the application of fractal geometry in soil science, and on prospects for its future use. With a detailed and specific introductory chapter, particular attention is paid to comparing and contrasting "fractal" and "fragmentation" concepts. Some uses of fractals, such as to quantify the retention and transport properties of soils, to describe the intricate geometry of pore surfaces and macropore networks, or to elucidate the rooting patterns of various plants, are discussed. Applications of fractals in soil science are both relatively recent and in constant evolution. This book reflects accurately existing trends, by allowing sharp differences among the viewpoints expressed in contributed chapters to be presented to the reader in one self-contained volume.

Download or read book Solving Problems with Microscopy written by John A. Reffner and published by John Wiley & Sons. This book was released on 2023-11-20 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solving Problems with Microscopy Comprehensive resource, based on real case examples, on the ability of the microscope for solving problems This book takes a “why to” rather than the common “how to” approach to demonstrate the capabilities of microscopy to solve problems. It provides entertaining and informative case examples and lessons regarding the unique value the microscope brings to problem solving by experienced scientists in various industries, including criminal and civil forensic science, manufacturing, environmental science, pharmaceutical science, cultural heritage, and biological sciences. Sample topics covered in this learning resource include: History of problem solving with microscopy Fortune favors the prepared mind The value of multiple associations The importance of context Knowing your limitations (i.e. knowing what you don’t know) Microscopists and other professional scientists who use microscopy can harness the information in this book to make better and more informed decisions by improving their problem-solving strategies and processes.