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This volume gives an interdisciplinary discussion on the topological aspects of general networks and critical systems for physicists, chemists, biologists, mathematicians, medical scientists, social scientists, and other related researchers. Subjects as diverse as the general properties of complex networks, complexity in social science, patterns in biological objects, and criticality in pure and applied physics are represented. The book is essential for researchers in a wide range of scientific and technological fields related to these areas.
Concisely and clearly written by two foremost scientists, this book provides a self-contained introduction to the basic concepts of fractals and demonstrates their use in a range of topics. The authors’ unified description of different dynamic problems makes the book extremely accessible.
The concept of topology has become commonplace in various scientific fields. The next stage is to bring together the knowledge accumulated in these fields. This volume contains articles on experiments and theories in connection with topology, including wide-ranging fields such as materials science, superconductivity, charge density waves, superfluidity, optics, and field theory. The nearly 60 peer-reviewed papers include contributions by noted authors Michael V Berry and Roman W Jackiw. The book serves as an excellent reference for both researchers and graduate students.
During the last couple of years, fractals have been shown to represent the common aspects of many complex processes occurring in an unusually diverse range of fields including biology, chemistry, earth sciences, physics and technology. Using fractal geometry as a language, it has become possible to get a deeper insight into previously intractable problems. Among many others, a better understanding of growth phenomena, turbulence, iteractive functions, colloidal aggregation, biological pattern formation and inhomogenous materials has emerged through the application of such concepts as scale invariance, self-affinity and multifractality.This volume contains a selection of high quality papers that discuss the latest developments in the research of fractals. It is divided into 5 sections and contains altogether 64 papers. Each paper is written by a well known author or authors in the field. Beginning each section is a short introduction, written by a prominent author, which gives a brief overview of the topics discussed in the respective sections.
Carbon nanotubes offer huge potential in so many fields due in part to their significant mechanical properties, including extraordinary rigidity, resilience, toughness, and flexibility. Mechanical deformation of carbon nanotubes is known to cause considerable changes in their physical and chemical properties through the nontrivial structure-propert