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Zdzislaw Pawlak is a great scientist and a great human being. This volume contains a short perspective on the life and work of Zdzislaw Pawlak. It reflects the influence of a number of research initiatives by Pawlak in a whole range of research areas.
For almost ten years chaos and fractals have been enveloping many areas of mathematics and the natural sciences in their power, creativity and expanse. Reaching far beyond the traditional bounds of mathematics and science to the realms of popular culture, they have captured the attention and enthusiasm of a worldwide audience. The fourteen chapters of the book cover the central ideas and concepts, as well as many related topics including, the Mandelbrot Set, Julia Sets, Cellular Automata, L-Systems, Percolation and Strange Attractors, and each closes with the computer code for a central experiment. In the two appendices, Yuval Fisher discusses the details and ideas of fractal image compression, while Carl J.G. Evertsz and Benoit Mandelbrot introduce the foundations and implications of multifractals.
Modern science has abstracted, as compensation for establishing rigorousness, the complexity of the real world, and has inclined toward oversimpli?ed ?ctitious n- ratives; as a result, a disjunction has emerged between the wisdom of science and reality. Re?ecting on this, we see the need for science to recover reality; can it reveal new avenues for thought and investigation of the complexity? The study of science is the pursuit of clarity and distinctness. Physics,after Galilei placed it in the realm of mathematics, has been trying to establish clearness by mathematical logic. While physics and mathematics, respectively, have different intellectual incentives, they have intersected in history on countless occasions and have woven a ?awless system of wisdom. The core of rigorous science is always made of mathematical logic; the laws of science cannot be represented without the language of mathematics. Conversely, it is undoubtedly dif?cult to stimulate ma- ematical intellect without a reference to the interests of science that are directed to the real world. However, various criticisms have been raised against the discourses of sciences that explain the events of the real world as if they are “governed” by mathematical laws. Sciences, being combined with technologies, have permeated, in the form of technical rationalism, the domain of life, politics, and even the psychological world. The criticisms accuse seemingly logical scienti?c narratives of being responsible for widespread destruction and emergence of crises, unprecedented suffering of hum- ity.
In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.
Nowadays, graph theory is an important analysis tool in mathematics and computer science. Because of the inherent simplicity of graph theory, it can be used to model many different physical and abstract systems such as transportation and communication networks, models for business administration, political science, and psychology and so on. The purpose of this book is not only to present the latest state and development tendencies of graph theory, but to bring the reader far enough along the way to enable him to embark on the research problems of his own. Taking into account the large amount of knowledge about graph theory and practice presented in the book, it has two major parts: theoretical researches and applications. The book is also intended for both graduate and postgraduate students in fields such as mathematics, computer science, system sciences, biology, engineering, cybernetics, and social sciences, and as a reference for software professionals and practitioners.
These Proceedings contain the papers presented at the 1stAsian Pacific Congress on Computational Mechanics held in Sydney, on 20-23 November 2001. The theme of the first Congress of the Asian-Pacific Association for Computational Mechanics in the new millennium is New Frontiers for the New Millennium. The papers cover such new frontiers as micromechanics, contact mechanics, environmental geomechanics, chemo-thermo-mechanics, inverse techniques, homogenization, meshless methods, smart materials/smart structures and graphic visualization, besides the general topics related to the application of finite element and boundary element methods in structural mechanics, fluid mechanics, geomechanics and biomechanics.
The OC 2007 ICTP Summer College on Plasma Physics'' was held at the Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy, during the period 30 July to 24 August 2007. The purpose of the summer college was to provide training for young scientists from all over the world, mainly from third world countries, and to give them the opportunity to interact with senior scientists in an informal manner. A large number of talks were given by invited speakers and experts, with information about the most recent advances in magnetic confinement fusion and tokamak physics, intense laserOCoplasma interactions and plasma-based particle acceleration, turbulence, dusty plasmas, and the emerging field of quantum plasmas. A selected number of papers from the invited speakers appear in this book. Sample Chapter(s). Foreword (60 KB). Nonlinear Collective Processes in Very Dense Plasmas (1,782 KB). Contents: Nonlinear Collective Processes in Very Dense Plasmas (P K Shukla et al.); Quantum, Spin and QED Effects in Plasmas (G Brodin & M Marklund); Quantum Methodologies in Beam, Fluid and Plasma Physics (R Fedele); Generation of Galactic Seed Magnetic Fields (H Saleem); Multifluid Theory of Solitons (F Verheest); Electro-Acoustic Solitary Waves in Dusty Plasmas (A A Mamun & P K Shukla); Physics of Dust in Magnetic Fusion Devices (Z Wang et al.); Short Wavelength Ballooning Mode in Tokamaks (A Hirose & N Joiner); and other papers. Readership: Researchers in the field of plasma physics."
This book presents a collection of major developments in chaos systems covering aspects on chaotic behavioral modeling and simulation, control and synchronization of chaos systems, and applications like secure communications. It is a good source to acquire recent knowledge and ideas for future research on chaos systems and to develop experiments applied to real life problems. That way, this book is very interesting for students, academia and industry since the collected chapters provide a rich cocktail while balancing theory and applications.
Organisms endowed with life show a sense of awareness, interacting with and learning from the universe in and around them. Each level of interaction involves transfer of information of various kinds, and at different levels. Each thread of information is interlinked with the other, and woven together, these constitute the universe — both the internal self and the external world — as we perceive it. They are, figuratively speaking, Nature's longest threads. This volume reports inter-disciplinary research and views on information and its transfer at different levels of organization by reputed scientists working on the frontier areas of science. It is a frontier where physics, mathematics and biology merge seamlessly, binding together specialized streams such as quantum mechanics, dynamical systems theory, and mathematics. The topics would interest a broad cross-section of researchers in life sciences, physics, cognition, neuroscience, mathematics and computer science, as well as interested amateurs, familiarizing them with frontier research on understanding information transfer in living systems.