This fascinating book explores the evolution of religious dualism, the doctrine that man and cosmos are constant battlegrounds between forces of good and evil. It traces this evolution from late Egyptian religion and the revelations of Zoroaster and the Orphics in antiquity through the Dead Sea Scrolls, the Mithraic Mysteries, and the great Gnostic teachers to its revival in medieval Europe with the suppression of the Bogomils and the Cathars, heirs to the age-long teachings of dualism. Integrating political, cultural, and religious history, Yuri Stoyanov illuminates the dualist religious systems, recreating in vivid detail the diverse worlds of their striking ideas and beliefs, their convoluted mythologies and symbolism. Reviews of an earlier edition: "A book of prime importance for anyone interested in the history of religious dualism. The author's knowledge of relevant original sources is remarkable; and he has distilled them into a convincing and very readable whole."--Sir Steven Runciman "The most fascinating historical detective story since Steven Runciman's Sicilian Vespers."--Colin Wilson "A splendid account of the decline of the dualist tradition in the East . . . both strong and accessible. . . . The most readable account of Balkan heresy ever."--Jeffrey B. Russell, Journal of Religion "Well-written, fact-filled, and fascinating . . . has in it the making of a classic." --Harry T. Norris, Bulletin of SOAS
An overview of the basic concepts, methods and applications of nonlinear low-dimensional solid state physics based on the Frenkel--Kontorova model and its generalizations. The book covers many important topics such as the nonlinear dynamics of discrete systems, the dynamics of solitons and their interaction, commensurate and incommensurate systems, statistical mechanics of nonlinear systems, and nonequilibrium dynamics of interacting many-body systems.
Probability and statistics are as much about intuition and problem solving as they are about theorem proving. Consequently, students can find it very difficult to make a successful transition from lectures to examinations to practice because the problems involved can vary so much in nature. Since the subject is critical in so many applications from insurance to telecommunications to bioinformatics, the authors have collected more than 200 worked examples and examination questions with complete solutions to help students develop a deep understanding of the subject rather than a superficial knowledge of sophisticated theories. With amusing stories and historical asides sprinkled throughout, this enjoyable book will leave students better equipped to solve problems in practice and under exam conditions.
Two-scale systems described by singularly perturbed SDEs have been the subject of ample literature. However, this new monograph develops subjects that were rarely addressed and could be given the collective description "Stochastic Tikhonov-Levinson theory and its applications." The book provides a mathematical apparatus designed to analyze the dynamic behaviour of a randomly perturbed system with fast and slow variables. In contrast to the deterministic Tikhonov-Levinson theory, the basic model is described in a more realistic way by stochastic differential equations. This leads to a number of new theoretical questions but simultaneously allows us to treat in a unified way a surprisingly wide spectrum of applications like fast modulations, approximate filtering, and stochastic approximation.Two-scale systems described by singularly perturbed SDEs have been the subject of ample literature. However, this new monograph develops subjects that were rarely addressed and could be given the collective description "Stochastic Tikhonov-Levinson theory and its applications." The book provides a mathematical apparatus designed to analyze the dynamic behaviour of a randomly perturbed system with fast and slow variables. In contrast to the deterministic Tikhonov-Levinson theory, the basic model is described in a more realistic way by stochastic differential equations. This leads to a number of new theoretical questions but simultaneously allows us to treat in a unified way a surprisingly wide spectrum of applications like fast modulations, approximate filtering, and stochastic approximation.
Principles of Image Printing Technology is a unique review of technology use in the printing industry since the time of the medieval engravers and busy newsroom typesetters. It provides a historical review of the advancement of technology and describes in-depth both technical fundamentals and industrial procedures. Intended primarily for students in graphic communications programs, this book includes all the necessary background for understanding printing technology. In addition, by providing findings from basic research studies and industrial processes that have been omitted elsewhere in published volumes, it offers a useful guide to researchers and professionals in the printing industry.
“Metric geometry” is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the last few decades and penetrated into many other mathematical disciplines, such as group theory, dynamical systems, and partial differential equations. The objective of this graduate textbook is twofold: to give a detailed exposition of basic notions and techniques used in the theory of length spaces, and, more generally, to offer an elementary introduction into a broad variety of geometrical topics related to the notion of distance, including Riemannian and Carnot-Carathéodory metrics, the hyperbolic plane, distance-volume inequalities, asymptotic geometry (large scale, coarse), Gromov hyperbolic spaces, convergence of metric spaces, and Alexandrov spaces (non-positively and non-negatively curved spaces). The authors tend to work with “easy-to-touch” mathematical objects using “easy-to-visualize” methods. The authors set a challenging goal of making the core parts of the book accessible to first-year graduate students. Most new concepts and methods are introduced and illustrated using simplest cases and avoiding technicalities. The book contains many exercises, which form a vital part of the exposition.
This fascinating book explores the evolution of religious dualism, the doctrine that man and cosmos are constant battlegrounds between forces of good and evil. It traces this evolution from late Egyptian religion and the revelations of Zoroaster and the Orphics in antiquity through the Dead Sea Scrolls, the Mithraic Mysteries, and the great Gnostic teachers to its revival in medieval Europe with the suppression of the Bogomils and the Cathars, heirs to the age-long teachings of dualism. Integrating political, cultural, and religious history, Yuri Stoyanov illuminates the dualist religious systems, recreating in vivid detail the diverse worlds of their striking ideas and beliefs, their convoluted mythologies and symbolism. Reviews of an earlier edition: "A book of prime importance for anyone interested in the history of religious dualism. The author's knowledge of relevant original sources is remarkable; and he has distilled them into a convincing and very readable whole."--Sir Steven Runciman "The most fascinating historical detective story since Steven Runciman's Sicilian Vespers."--Colin Wilson "A splendid account of the decline of the dualist tradition in the East . . . both strong and accessible. . . . The most readable account of Balkan heresy ever."--Jeffrey B. Russell, Journal of Religion "Well-written, fact-filled, and fascinating . . . has in it the making of a classic." --Harry T. Norris, Bulletin of SOAS
Dedicated to the Russian mathematician Albert Shiryaev on his 70th birthday, this is a collection of papers written by his former students, co-authors and colleagues. The book represents the modern state of art of a quickly maturing theory and will be an essential source and reading for researchers in this area. Diversity of topics and comprehensive style of the papers make the book attractive for PhD students and young researchers.
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