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Current Mathematical Problems of Mechanics and Their Applications
This volume contains selected reports delivered at the international conference on "Modern mathematical problems of mechanics and their applications", which took place in Moscow in 1987 on the occasion of the 80th birthday of Academician L. I. Sedov. The papers are devoted to a wide range of problems of modern mechanics, including general relativity and gravitation, construction and investigation of models of continuum mechanics, gas dynamics (with due regard to physical and chemical processes), hydromechanics, hydrodynamic stability and turbulence, magnetohydrodynamics, electrodynamics, and nonlinear problems of mechanics of deformable solid body. Containing results buy well-known specialists, this book is of interest to specialists in mechanics and mathematics.
Gentleman's Magazine and Historical Review
The "Gentleman's magazine" section is a digest of selections from the weekly press; the "(Trader's) monthly intelligencer" section consists of news (foreign and domestic), vital statistics, a register of the month's new publications, and a calendar of forthcoming trade fairs.
Generalized Diffusion Processes
Diffusion processes serve as a mathematical model for the physical phenomenon of diffusion. One of the most important problems in the theory of diffusion processes is the development of methods for constructing these processes from a given diffusion matrix and a given drift vector. Focusing on the investigation of this problem, this book is intended for specialists in the theory of random processes and its applications. A generalized diffusion process (that is, a continuous Markov process for which the Kolmogorov local characteristics exist in the generalized sense) can serve as a model for diffusion in a medium moving in a nonregular way. The author constructs generalized diffusion processes under two assumptions: first, that the diffusion matrix is sufficiently regular; and second, that the drift vector is a function integrable to some power, or is a generalized function of the type of the derivative of a measure.
Mathematics and Sports
`Some scientists claim that strong tobacco and spirits clear the head and spur creativity. It would be well, however, to try other means: to exercise, jog, swim, or learn to play games like tennis, basketball, badminton, volleyball, and so on ... Not only checkers, chess, cards, or billiards are a source of interesting problems. Other sports provide them as well. Mathematical methods are increasingly applied in sports. Just think how many yet-unsolved problems arise when we study the interaction between ball and racket or between ball and court.' ---from the introduction. This unique book presents simple mathematicals models of various aspects of sports, with applications to sports training and competitions. Requiring only a background in precalculus, it would be suitable as a textbook for courses in mathematical modeling and operations research at the high school or college level. Coaches and those who do sports will find it interesting as well. The lively writing style and wide range of topics make this book especially appealing.
Wave propagation. Scattering theory
The papers in this collection were written primarily by members of the St. Petersburg seminar in mathematical physics. The seminar, now run by O. A. Ladyzhenskaya, was initiated in 1947 by V. I. Smirnov, to whose memory this volume is dedicated. The papers in the collection are devoted mainly to wave propagation processes, scattering theory, integrability of nonlinear equations, and related problems of spectral theory of differential and integral operators. The book is of interest to mathematicians working in mathematical physics and differential equations, as well as to physicists studying various wave propagation processes.
Statistics and Control of Random Processes
This book contains papers by participants in two seminars, one on martingales and statistics of stochastic processes, and one on sequential analysis, both of which were held at the Steklov Institute of the Russian Academy of Sciences. The papers develop the concepts of martingales and seminmartingales and stochastic calculus for them, as well as their applications in statistics and control of stochastic processes. The class of semimartingales - that is, the class of all processes which can be represented as a sum of a martingale and a process with bounded variation - is rather large. It contains such important processes as Brownian motion, Poisson processes, solutions of stochastic differential equations, and others. The papers treat theoretical aspects of statistics of stochastic processes as well as specific models of stochastic processes from the standpoint of their statistics and control. The collection is intended for undergraduate and graduate students and researchers in probability theory and mathematical statistics.
At War with the Church
This detailed study examines the social, religious, and institutional conflicts accompanying the Russian Schism of the seventeenth century. By analyzing who opposed the reforms of Patriarch Nikon (1652-58) and under what circumstances, the author presents a complex and multi-faceted world of popular religious resistance that has been hidden from view for centuries. The documentary records of Russian church and state archives--most studied here for the first time--reveal that the schism evolved in two phases. The first phase began in 1652 and encompassed the activities of Old Believer literati as well as unrelated protests by social outcasts and independent-minded individuals. The second phas...
Ordered Sets and Lattices II
This indispensable reference source contains a wealth of information on lattice theory. The book presents a survey of virtually everything published in the fields of partially ordered sets, semilattices, lattices, and Boolean algebras that was reviewed in Referativnyi Zhurnal Matematika from mid-1982 to the end of 1985. A continuation of a previous volume (the English translation of which was published by the AMS in 1989, as volume 141 in Translations - Series 2), this comprehensive work contains more than 2200 references. Many of the papers covered here were originally published in virtually inaccessible places. The compilation of the volume was directed by Milan Kolibiar of Comenius University at Bratislava and Lev A. Skornyakov of Moscow University. Of interest to mathematicians, as well as to philosophers and computer scientists in certain areas, this unique compendium is a must for any mathematical library.
