Kategoria BISAC: Mathematics >> Mathematical Analysis

Paul Turan, one of the greatest Hungarian mathematicians, was born 100 years ago, on August 18, 1910. To celebrate this occasion the Hungarian Academy of Sciences, the Alfred Renyi Institute of Mathematics, the Janos Bolyai Mathematical Society and the Mathematical Institute of Eotvos Lorand University organized an international conference devoted to Paul Turan's main areas of interest: number theory, selected branches of analysis, and selected branches of combinatorics.

The conference was held in Budapest, August 22-26, 2011. Some of the invited lectures reviewed different aspects...

The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research...

Multivariate characteristic functions are the Fourier transforms of distributions of random vectors. They represent an important tool for the study of ifferent problems of probability theory, e.g. limit theorems, characterization problems, and description of special distributions, but they also appear as correlation functions of stationary random fields.

This book provides an introduction to the theory of these functions which may be useful also for readers who want to learn about multivariate Fourier transforms. It presents some special topics and several classical and recent...

This work offers a highly useful, well developed reference on Markov processes, the universal model for random processes and evolutions. The wide range of applications, in exact sciences as well as in other areas like social studies, require a volume that offers a refresher on fundamentals before conveying the Markov processes and examples for applications. This work does just that, and with the necessary mathematical rigor.

The book offers a hollistic approach to the theory and numerics of random differential equations from an interdisciplinary and problem-centered point of view. In this interdisciplinary work, the authors examine state-of-the-art concepts of both dynamical systems and scientific computing.

The book summarizes several mathematical aspects of the vanishing viscosity method and considers its applications in studying dynamical systems such as dissipative systems, hyperbolic conversion systems and nonlinear dispersion systems. Including original research results, the book demonstrates how to use such methods to solve PDEs and is an essential reference for mathematicians, physicists and engineers working in nonlinear science.

Contents:
Preface
Sobolev Space and Preliminaries
The Vanishing Viscosity Method of Some Nonlinear Evolution System
The...