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.
These notes contain all the material accumulated over six years in Strasbourg to teach "e;Quantum Probability"e; to myself and to an audience of commutative probabilists.
These notes can be viewed and used in several different ways, each has some justification, a collection of papers, a research monograph or a text book.
In diesem Buch werden einige Gebiete der algebraischen Topologie, die man heute größtenteils zum klassischen Bestand rechnet, mit semi simplizialen Methoden in einheitlicher Weise dargestellt.
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.
High-dimensional knot theory is the study of the embeddings of n-dimensional manifolds in (n+2)-dimensional manifolds, generalizing the traditional study of knots in the case n=1.
Mehrere Gründe bewogen mich, den Plan zu einem Buch über Quantenmechanik zu entwerfen, obwohl es in der Literatur schon manche Darstellung dieses Gebietes gibt.
This is a new and enlarged English edition of the book which, under the title "e;Formeln und Satze fur die Speziellen Funktionen der mathe- matischen Physik"e; appeared in German in 1946.
Bereits seit längerer Zeit hat sich die additive Zahlentheorie als gesonderter Zweig innerhalb der Zahlentheorie herausgebildet; aber erst in den letzten Jahrzehnten hat dieses Gebiet neue Antriebe erhalten.
Die theoretische Logik, auch mathematische oder symbolische Logik genannt, ist eine Ausdehnung der formalen Methode der Mathematik auf das Gebiet der Logik.
