In this book we present the main results on the asymptotic theory of ordinary linear differential equations and systems where there is a small parameter in the higher derivatives.
In this part, we present a survey of mean-periodicity phenomena which arise in connection with classical questions in complex analysis, partial differential equations, and more generally, convolution equations.
This book, the first printing of which was published as Volume 31 of the Encyclopaedia of Mathematical Sciences, contains a survey of the modern theory of general linear partial differential equations and a detailed review of equations with constant coefficients.
The first edition of this book came out just as the apparatus of algebraic geometry was reaching a stage that permitted a lucid and concise account of the foundations of the subject.
This book, the first printing of which was published as volume 38 of the Encyclopaedia of Mathematical Sciences, presents a modern approach to homological algebra, based on the systematic use of the terminology and ideas of derived categories and derived functors.
The numerical solution of stochastic differential equations is becoming an in- dispensible worktool in a multitude of disciplines, bridging a long-standing gap between the well advanced theory of stochastic differential equations and its application to specific examples.
New developments in computer science, biology, mathematics and physics offer possibilities to obtain deeper understanding of growth and forms of organisms.
In the last 25 years, the fuzzy set theory has been applied in many disciplines such as operations research, management science, control theory, artificial intelligence/expert system, etc.
This monograph contains: - ten papers written by the author, and co-authors, between December 1988 and October 1998 about certain exponential functionals of Brownian motion and related processes, which have been, and still are, of interest, during at least the last decade, to researchers in Mathematical finance; - an introduction to the subject from the view point of Mathematical Finance by H.
Against the background of AIDS, wars, migration, and the inadequate provision of health care, a very serious epidemic of tuberculosis is once again occurring worldwide.
This book presents a complete and accurate study of algebraic circuits, digital circuits whose performance can be associated with any algebraic structure.
Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.
Das vorliegende Buch behandelt die unter dem Namen der konflu enten hypergeometrischen Funktion bekannte höhere transzendente Funktion, der in den physikalischen und technischen Anwendungen der Mathematik eine besonders in den letzten beiden Jahrzehnten ständig steigende Bedeutung zukommt.
Die vorliegende Darstellung der klassischen Funktionentheorie ist aus Nachschriften, die wir seit geraumer Zeit von unseren Vorlesungen anfertigen ließen, entstanden.
Die vorliegende zusammenfassende Darstellung der Theorie der Uni formisierung ist auf der Grundlage von Vorlesungen entstanden, die ich an den Universitäten Helsinki und Zürich gehalten habe.
Das vorliegende Buch behandelt Anfangswertprobleme, die bei partiellen Differentialgleichungen und Differentialgleichungssystemen vom hyperbolischen Typus auftreten.
The present volume contains, together with numerous additions and extensions, the course of lectures which I gave at Pavia (26 September till 5 October 1955) by invitation of the Centro Internazionale Mate- matico Estivo .
