I have been pleased with the favourable reception of the first edition of this book and I am grateful to have the opportunity to prepare this second edition.
Conceived by Count Jacopo Francesco Riccati more than a quarter of a millennium ago, the Riccati equation has been widely studied in the subsequent centuries.
This work presents a purely classical first-order logical approach to the field of study in theoretical computer science sometimes referred to as the theory of programs, or programming theory.
A volume of this nature containing a collection of papers has been brought out to honour a gentleman - a friend and a colleague - whose work has, to a large extent, advanced and popularized the use of stochastic point processes.
The history of continued fractions is certainly one of the longest among those of mathematical concepts, since it begins with Euclid's algorithm for the great- est common divisor at least three centuries B.
In recent years hyperbolic geometry has been the object and the preparation for extensive study that has produced important and often amazing results and also opened up new questions.
This well-known booklet, now in its third, expanded edition, provides an informal survey of applications of singularity theory in a wide range of areas.
This complementary text provides detailed solutions for the problems that appear in Chapters 2 to 18 of Computational Techniques for Fluid Dynamics (CTFD), Second Edition.
This book is motivated largely by a desire to solve shape optimization prob- lems that arise in applications, particularly in structural mechanics and in the optimal control of distributed parameter systems.
Advances in microelectronic technology have made massivelyparallel computing a reality and triggered an outburst ofresearch activity in parallel processing architectures andalgorithms.
Discrete and computational geometry are two fields which in recent years have benefitted from the interaction between mathematics and computer science.
Die Fragen nach verantwortlichem Forschen und nach der Verantwortung des einzelnen Wissenschaftlers rücken wieder verstärkt in den Mittelpunkt des öffentlichen Interesses.
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.
