Series On Soviet And East European Mathematics – Serie
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10 produkter
10 produkter
Del 2 - Series On Soviet And East European Mathematics
Partial Differential Equations
Inbunden, Engelska, 1993
1 204 kr
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This textbook in partial differential equations has been adopted as course material by the Moscow State University. The theoretical foundations of PDE are explained rigorously and clearly in such a way that their importance on applications is also taken into account. The presentation of materials has been arranged to be conducive to promoting students' interest in mathematical experiments.
Del 3 - Series On Soviet And East European Mathematics
Convolution Type Functional Equations On Topological Abelian Groups
Inbunden, Engelska, 1991
807 kr
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This book is devoted to the possible applications of spectral analysis and spectral synthesis for convolution type functional equations on topological abelian groups. The solution space of convolution type equations has been synthesized in the sense that the general solutions are built up from exponential monomial solutions. In particular, equivalence of systems of functional equations can be tested. This leads to a unified treatment of classical equations and to interesting new results.
Del 6 - Series On Soviet And East European Mathematics
Double Mellin-barnes Type Integrals And Their Application To Convolution Theory, The
Inbunden, Engelska, 1992
1 238 kr
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This book presents new results in the theory of the double Mellin-Barnes integrals popularly known as the general H-function of two variables.A general integral convolution is constructed by the authors and it contains Laplace convolution as a particular case and possesses a factorization property for one-dimensional H-transform. Many examples of convolutions for classical integral transforms are obtained and they can be applied for the evaluation of series and integrals.
Del 5 - Series On Soviet And East European Mathematics
Minimization Of Computational Costs Of Non-analogue Monte Carlo Methods
Inbunden, Engelska, 1992
1 152 kr
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Non-analogue Monte Carlo methods are useful when the direct simulation techniques are insufficient. To use the additional discretization, Monte Carlo estimates are biased and it is desirable to optimize the connection between discretization parameters and the sample size. In this connection, the book investigates variances of non-analogue Monte Carlo estimates, uniform minimization of variances by choosing a computational model and the minimization of computational cost of non-analogue Monte Carlo methods.This book is essentially new with respect to previous monographs on the Monte Carlo methods.
Del 9 - Series On Soviet And East European Mathematics
Lecture Notes On Geometrical Aspects Of Partial Differential Equations
Inbunden, Engelska, 1992
1 626 kr
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This book focuses on the properties of nonlinear systems of PDE with geometrical origin and the natural description in the language of infinite-dimensional differential geometry. The treatment is very informal and the theory is illustrated by various examples from mathematical physics. All necessary information about the infinite-dimensional geometry is given in the text.
Del 8 - Series On Soviet And East European Mathematics
New Problems In Differential Geometry
Inbunden, Engelska, 1993
980 kr
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The main theme of this book is the geometrical interpretation of phenomena taking place in Jet spaces in connection with differential equations. This concise volume caters to all mathematicians who wish to deepen their acquaintance with the mathematics of differential geometry.
Del 13 - Series On Soviet And East European Mathematics
Algebraic Structures In Automata And Database Theory
Inbunden, Engelska, 1992
1 428 kr
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The book is devoted to the investigation of algebraic structure. The emphasis is on the algebraic nature of real automation, which appears as a natural three-sorted algebraic structure, that allows for a rich algebraic theory. Based on a general category position, fuzzy and stochastic automata are defined. The final chapter is devoted to a database automata model. Database is defined as an algebraic structure and this allows us to consider theoretical problems of databases.
Del 4 - Series On Soviet And East European Mathematics
Iterative Incomplete Factorization Methods
Inbunden, Engelska, 1992
1 277 kr
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This book is devoted to numerical methods for solving sparse linear algebra systems of very large dimension which arise in the implementation of the mesh approximations of the partial differential equations. Incomplete factorization is the basis of the wide class of preconditioning interative processes with acceleration by conjugate gradients or the Chebyshev technique. Different kinds of explicit and implicit algorithms are considered. Theoretical grounds of correctness and estimates of the convergence velocity of iterations are presented. Together with the results of experimental investigations for the typical examples, this book is the first on systematic studying of the incomplete factorization methods.
Del 10 - Series On Soviet And East European Mathematics
Oscillation Theory Of Operator-differential Equations
Inbunden, Engelska, 1995
1 428 kr
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In this book, the authors aim at expounding a sufficiently rich oscillation theory and asymptotic theory of operator-differential equations. This book will be of interest not only to mathematicians, but also to experts in other areas of science and technology due to the numerous applications of the results discussed in the book.
Del 7 - Series On Soviet And East European Mathematics
Integral Equations Of First Kind
Inbunden, Engelska, 1995
1 255 kr
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This book studies classes of linear integral equations of the first kind most often met in applications. Since the general theory of integral equations of the first kind has not been formed yet, the book considers the equations whose solutions either are estimated in quadratures or can be reduced to well-investigated classes of integral equations of the second kind.In this book the theory of integral equations of the first kind is constructed by using the methods of the theory of functions both of real and complex variables. Special attention is paid to the inversion formulas of model equations most often met in physics, mechanics, astrophysics, chemical physics etc. The general theory of linear equations including the Fredholm, the Noether, the Hausdorff theorems, the Hilbert-Schmidt theorem, the Picard theorem and the application of this theory to the solution of boundary problems are given in this book. The book studies the equations of the first kind with the Schwarz Kernel, the Poisson and the Neumann kernels; the Volterra integral equations of the first kind, the Abel equations and some generalizations, one-dimensional and many-dimensional analogues of the Cauchy type integral and some of their applications.