Mathematics

This monograph is intended for an advanced undergraduate or graduate course as well as for researchers, who want a compilation of developments in this rapidly growing field of operations research.

In the last decade highly innovatory developments have taken place in theoretical economics.

For over a decade, Working Group 8 (Nursing) of the International Medical Informatics Association has sponsored, in conjunction with a host country, a triennial international symposium on nursing informatics.

Generalizations of convex functions have been used in a variety of fields such as economics.

This volume describes our intellectual path from the physics of complex sys- tems to the science of artificial cognitive systems.

This book treats the subject of global optimization with minimal restrictions on the behavior on the objective functions.

Control theory can be roughly classified as deterministic or stochastic.

The use of probabilistic methods in the biological sciences has been so well established by now that mathematical biology is regarded by many as a distinct dis- cipline with its own repertoire of techniques.

We begin by making clear the meaning of the term "e;tame"e;.

Over the past three years I have grown accustomed to the puzzled look which appears on people's faces when they hear that I am a mathematician who studies sleep.

The objective of this conference was to foster a healthy exchange of ideas and experience in the domain of multiple criteria problem solving.

Ever since A.

These notes have grown from a series of seminars given at Leeds between 1972 and 1975.

Stochastic processes often pose the difficulty that, as soon as a model devi- ates from the simplest kinds of assumptions, the differential equations obtained for the density and the generating functions become mathematically formidable.

In the course of one's research, the expediency of meeting contractual and other externally imposed deadlines too often seems to take priority over what may be more significant research findings in the longer run.

A tremendous amount of work has been done over the last thirty years in cluster analysis, with a significant amount occurring since 1960.

Of central importance in this book is the concept of modularity in lattices.

The present work is an extended version of a manuscript of a course which the author taught at the University of Hamburg during summer 1969.

Dantzig's development of linear programming into one of the most applicable optimization techniques has spread interest in the algebra of linear inequalities, the geometry of polyhedra, the topology of convex sets, and the analysis of convex functions.

The International Summer School on Mathematical Systems Theory and Economics was held at the Villa Monastero in Varenna, Italy, from June 1 through June 12, 1967.

Once we have accepted a precise replacement of the concept of algo- rithm, it becomes possible to attempt the problem whether there exist well-defined collections of problems which cannot be handled by algo- rithms, and if that is the case, to give concrete cases of this kind.

The aim of this book is to give a systematic study of questions con- cerning existence, uniqueness and regularity of solutions of linear partial differential equations and boundary problems.

These Proceedings contain articles based on the lectures and in- formal discussions at the Conference on Transformation Groups held at Tulane University, May 8 to June 2, 1967 under the sponsorship of the Advanced Science Seminar Projects of the National Science Foun- dation (Contract No.

This book has grown out of a course of lectures I have given at the Eidgenossische Technische Hochschule, Zurich.

Max-Min problems are two-step allocation problems in which one side must make his move knowing that the other side will then learn what the move is and optimally counter.

In recent years important progress has been made in the study of semi-groups of operators from the viewpoint of approximation theory.

During the last fifteen years certain very fundamental aspects of economic theory have been very actively debated.

Introducing his book "e;The Theory of UnemPloyment Reconsidered"e;, Professor Malinvaud expressed several years ago his hope "e;to convey [his] strong belief that the reconsideration is a major step in the development of our science"e;.

The articles of these proceedings arise from a NSF-CBMS regional conference on the mathematical modeling of the hearing process, that was held at Rensselaer Polytechnic Institute in the summer of 1980.

This book is intended as a contribution to the theory of markets with imperfect information.

Those familiar with input-output analysis know well that compilation of input-output tables is a difficult statistical work.

The papers in this volume are based on talks given at a one day conference held on the campus of Adelphi University in April 1982.

46 4.

During the last 30 years, many chemical compounds that are active against tumors have been discovered or developed.