Das vorliegende Werk ist als Ergebnis von Vorlesungen entstanden, welche die Verfasser seit 1953 im Laufe von mehreren Jahren an den Universitäten Helsinki und Zürich gehalten haben.
These notes start with an introduction to the differentiability of convex functions on Banach spaces, leading to the study of Asplund spaces and their intriguing relationship to monotone operators (and more general set-values maps) and Banach spaces with the Radon-Nikodym property.
On the one hand, this monograph serves as a self-contained introduction to Nevanlinna's theory of value distribution because the authors only assume the reader is familiar with the basics of complex analysis.
Background and Scope of the Book This book continues, extends, and unites various developments in the intersection of probability theory and dynamical systems.
The aim of this book is to provide an accessible introduction to stochastic differ- ential equations and their applications together with a systematic presentation of methods available for their numerical solution.
The problem of spectral asymptotics, in particular the problem of the asymptotic dis- tribution of eigenvalues, is one of the central problems in the spectral theory of partial differential operators; moreover, it is very important for the general theory of partial differential operators.
The principal purpose of this book is to provide an account of the circle of ideas, results and techniques, which emerged roughly over the last ten years in the study of Brownian motion and random obstacles.
Symbolic asymptotics has recently undergone considerable theoretical development, especially in areas where power series are no longer an appropriate tool.
In the Part at hand the authors undertake to give a presentation of the historical development of the theory of imbedding of function spaces, of the internal as well as the externals motives which have stimulated it, and of the current state of art in the field, in particular, what regards the methods employed today.
The purpose of this book is to provide a careful and accessible account along modern lines of the subject wh ich the title deals, as weIl as to discuss prob- lems of current interest in the field.
Classical Sobolev spaces, based on Lebesgue spaces on an underlying domain with smooth boundary, are not only of considerable intrinsic interest but have for many years proved to be indispensible in the study of partial differential equations and variational problems.
Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics.
Aus den Besprechungen: "Wodurch unterscheidet sich das hiermit begonnene Lehrwerk der Analysis von zahlreichen anderen, zum Teil im gleichen Verlag erschienenen, exzellenten Werken dieser Art?
This book is concerned with discontinuous groups of motions of the unique connected and simply connected Riemannian 3-manifold of constant curva- ture -1, which is traditionally called hyperbolic 3-space.
"e;Algorithmic information theory (AIT) is the result of putting Shannon's information theory and Turing's computability theory into a cocktail shaker and shaking vigorously"e;, says G.
As the role of the modern engineer is markedly different from that of even a decade ago, the theme of engineering mathematics educa- tion (EME) is an important one.
