V.V. Nekrutkin's Books

Random Processes for Classical Equations of Mathematical Physics

By: S.M. Ermakov,V.V. Nekrutkin,A.S. Sipin

Write a review Read reviews Take a Quiz Solve Book Puzzle

Random Processes for Classical Equations of Mathematical Physics

By: S.M. Ermakov,V.V. Nekrutkin,A.S. Sipin

Et moi - ... si j'avait su comment en revenir. One service mathema tics has rendered the je n'y serais point aIle.' human race. It has put common sense back Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

301

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9400922434

ISBN 13

9789400922433

Asymptotic Behaviour of Linearly Transformed Sums of Random Variables

By: V.V. Buldygin,Serguei Solntsev

Write a review Read reviews Take a Quiz Solve Book Puzzle

Asymptotic Behaviour of Linearly Transformed Sums of Random Variables

By: V.V. Buldygin,Serguei Solntsev

Limit theorems for random sequences may conventionally be divided into two large parts, one of them dealing with convergence of distributions (weak limit theorems) and the other, with almost sure convergence, that is to say, with asymptotic prop erties of almost all sample paths of the sequences involved (strong limit theorems). Although either of these directions is closely related to another one, each of them has its own range of specific problems, as well as the own methodology for solving the underlying problems. This book is devoted to the second of the above mentioned lines, which means that we study asymptotic behaviour of almost all sample paths of linearly transformed sums of independent random variables, vectors, and elements taking values in topological vector spaces. In the classical works of P.Levy, A.Ya.Khintchine, A.N.Kolmogorov, P.Hartman, A.Wintner, W.Feller, Yu.V.Prokhorov, and M.Loeve, the theory of almost sure asymptotic behaviour of increasing scalar-normed sums of independent random vari ables was constructed. This theory not only provides conditions of the almost sure convergence of series of independent random variables, but also studies different ver sions of the strong law of large numbers and the law of the iterated logarithm. One should point out that, even in this traditional framework, there are still problems which remain open, while many definitive results have been obtained quite recently.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

524

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0792346327

ISBN 13

9780792346326

Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows

By: V.V. Aristov

Write a review Read reviews Take a Quiz Solve Book Puzzle

Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows

By: V.V. Aristov

This book is concerned with the methods of solving the nonlinear Boltz mann equation and of investigating its possibilities for describing some aerodynamic and physical problems. This monograph is a sequel to the book 'Numerical direct solutions of the kinetic Boltzmann equation' (in Russian) which was written with F. G. Tcheremissine and published by the Computing Center of the Russian Academy of Sciences some years ago. The main purposes of these two books are almost similar, namely, the study of nonequilibrium gas flows on the basis of direct integration of the kinetic equations. Nevertheless, there are some new aspects in the way this topic is treated in the present monograph. In particular, attention is paid to the advantages of the Boltzmann equation as a tool for considering nonequi librium, nonlinear processes. New fields of application of the Boltzmann equation are also described. Solutions of some problems are obtained with higher accuracy. Numerical procedures, such as parallel computing, are in vestigated for the first time. The structure and the contents of the present book have some com mon features with the monograph mentioned above, although there are new issues concerning the mathematical apparatus developed so that the Boltzmann equation can be applied for new physical problems. Because of this some chapters have been rewritten and checked again and some new chapters have been added.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

305

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9401008663

ISBN 13

9789401008662

Random Processes for Classical Equations of Mathematical Physics

By: S.M. Ermakov,V.V. Nekrutkin,A.S. Sipin

Write a review Read reviews Take a Quiz Solve Book Puzzle

Random Processes for Classical Equations of Mathematical Physics

By: S.M. Ermakov,V.V. Nekrutkin,A.S. Sipin

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

301

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9400922434

ISBN 13

9789400922433

Book's by V.V. Nekrutkin

Random Processes for Classical Equations of Mathematical Physics

Random Processes for Classical Equations of Mathematical Physics

Asymptotic Behaviour of Linearly Transformed Sums of Random Variables

Asymptotic Behaviour of Linearly Transformed Sums of Random Variables

Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows

Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows

Random Processes for Classical Equations of Mathematical Physics

Random Processes for Classical Equations of Mathematical Physics

Username

Password

Username

Password

Password again

Birthday

Email