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Due to the limited number of digits or bits per storage location in electronic computers, round-off errors arise during arithmetic operations.

Imbedding is a powerful and versatile tool for problem solving. Some are well suited to the derivation of existence and uniqueness theorems, some to the derivation of conservation relations, some to perturbation techniques and sensitivity analysis, some to computa tional studies.

These notes are the result of an interrupted sequence of seminars on optimiza tion theory with economic applications starting in 1964-1965. Except for the introductory survey, the notes are intended to provide an appetizer to more sophisticated aspects of optimization theory and economic theory.

The years following World War II have witnessed an increasing interest in the effects of growth on trade, the patterns of international specialization, and the terms of trade.

At present, there is considerable interest in supercritical wing technology for the development of aircraft designed to fly near the speed of sound. The main contribution is a computer program for the design of shockless transonic airfoils using the hodograph transformation and analytic continuation into the complex domain.

The present Lecture Notes evolved from a course given at the Technische Hogeschool Eindhoven and later at the Technische Hogeschool Twente. more specifically, their goal is to introduce the notions of computability and decidability, and to prepare for the study of automata theory, formal language theory and the theory of computing.

The intent of these notes is to provide an appreciation of sequencing theory, and to develop an awareness of the combinatorial aspects of sequencing problems. Following the introductory chapter, several classes of scheduling models are discussed in Chapter 2.

There is by now a large literature on the economic aspects of flood control and flood relief policies. This is the case in flood plains, but it is also the appropriate basic theory for understanding investment decisions in the face of earthquakes, fires, war damage, avalanches, and other kinds of disasters.

This monograph is a revised set of notes on recent applications of the theory of cones, arising from lectures I gave during my stay at the Centre de recherches mathematiques in Montreal. The second is devoted to applications to mathematical programming and the third to matrix theory.

Today the study of the future has a much sharper relevance than ever before, because people have begun to realise that the future can be controlled - or even that it must be controlled if there is to be a future at all;

If one takes the intuitive point of view that a system is a black box whose inputs and outputs are time functions or time series it is natural to adopt an operator theoretic approach to the stUdy of such systems.

"Die vorliegende Schrift entstand aus dem Manuskript einer Vorlesung, die der Verfasser an den Universit'aten M'unchen und Heidelberg gehalten hat. In erg'anzter und 'uberarbeiteter Fassung wurde sie dann als Habilitationsschrift ... der Universit'at Heidelberg vorgelegt und von dieser angenommen."

presenting a Functional Analysis approach to Stochastic Filtering and Control Problems. several new points of view were developed and as a result the present work is more in the nature of a monograph on the subject than a distilled compendium of extant works. We introduce the linear Stochastic integrals right away.

For many stochastic service systems, service capacities large enough to serve some given customer demand is achieved simply by providing multiple servers of low capacity;

Thi~d, the study of scheduling problems involves the study of combina torial problems and optimization over discrete spaces which represent a radical, and interesting, departure from classical mathematics.

At this point in time, there is no generally accepted methodology for explaining and predicting human behavior given a product choice situation. Given the attribute profiles of two products, in order to explain and predict preference, it is necessary to determine the relative importance of each of the product attributes.