Mathematics

Since the publication of Banach's treatise on the theory of linear operators, the literature on the theory of bases in topological vector spaces has grown enormously.

This book grew out of lectures.

This monograph is areport on the present state of a fairly coherent collection of problems about which a sizeable literature has grown up in recent years.

By a linear group we mean essentially a group of invertible matrices with entries in some commutative field.

The success of the 1967 Battelle Rencontres was so much appre- ciated by the participants and organizers of this experimental set-up that it was soon decided to go on with the experiment.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

Das vorliegende Buch handelt von den fastperiodischen Funktionen auf Gruppen.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

The 1986 NATO Advanced Study Insti tute on Dynamics of Infini te Dimensional Systems was held at the Instituto Superior Tecnico.

The development of the internationally standardized language ALGOL has made it possible to prepare procedures which can be used without modification whenever a computer with an ALGOL translator is available.

Problem oriented programming languages as they have developed over the last ten years essentially serve two purposes which somewhat crudely can be described by the terms man-man communication and man-machine communication, respectively.

Automatic computing has undergone drastic changes since the pioneering days of the early Fifties, one of the most obvious being that today the majority of computer programs are no longer written in machine code but in some programming language like FORTRAN or ALGOL.

Der vorliegende Band schließt die Darstellung der Beweistheorie ab, die ich vor einigen Jahren zusammen mit P.

Die Leitgedanken meiner Untersuchungen über die Grundlagen der Mathematik, die ich - anknüpfend an frühere Ansätze - seit 1917 in Besprechungen mit P.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

Die zunehmenden Fähigkeiten von Rechnersystemen ermöglichen den Einsatz komplexer mathematischer Methoden für Anwendungen aus dem Bereich der Graphischen Datenverarbeitung und des Computer Aided Design (CAD).

The present volume gives a systematic treatment of potential functions.

Dr.

Except for this preface, this study is completely self-contained.

Hardy, Littlewood and P6lya's famous monograph on inequalities [17J has served as an introduction to hard analysis for many mathema- ticians.

In 1964 the author's mono graph "e;Differential- und Integral-Un- gleichungen,"e; with the subtitle "e;und ihre Anwendung bei Abschatzungs- und Eindeutigkeitsproblemen"e; was published.

In Part I of this report the pointwise derivation of scalar set functions is investigated, first along the lines of R.

die Matrizen, die zu Transpositionen gehören, nicht nur (wie bei der natürlichen Darstellung) leicht berechnen, sondern unmittelbar hin­ schreiben kann.

The general objective of this treatise is to give a systematic presenta- tion of some of the topological and measure-theoretical foundations of the theory of real-valued functions of several real variables, with particular emphasis upon a line of thought initiated by BANACH, GEOCZE, LEBESGUE, TONELLI, and VITALI.

The purpose of this modest report is to present in a simplified manner some of the computational methods that have been developed in the last ten years for the solution of optimal control problems.

What could be regarded as the beginning of a theory of commutators AB - BA of operators A and B on a Hilbert space, considered as a dis- cipline in itself, goes back at least to the two papers of Weyl [3] {1928} and von Neumann [2] {1931} on quantum mechanics and the commuta- tion relations occurring there.

This book presents the proceedings of a workshop on community ecology organized at Davis, in April, 1986, sponsored by the Sloan Foundation.

For the first systematic investigations of the theory of cluster sets of analytic functions, we are indebted to IVERSEN [1-3J and GROSS [1-3J about forty years ago.

The main purpose of the present work is to present to the reader a particularly nice category for the study of homotopy, namely the homo- topic category (IV).

In classical analysis, there is a vast difference between the class of problems that may be handled by means of the methods of calculus and the class of problems requiring combinatorial techniques.

There are two aspects to the theory of Boolean algebras; the algebraic and the set-theoretical.

Der Autor wurde am 2.

The roots of Borel sets go back to the work of Baire [8].

In the last few decades the theory of ordinary differential equations has grown rapidly under the action of forces which have been working both from within and without: from within, as a development and deepen- ing of the concepts and of the topological and analytical methods brought about by LYAPUNOV, POINCARE, BENDIXSON, and a few others at the turn of the century; from without, in the wake of the technological development, particularly in communications, servomechanisms, auto- matic controls, and electronics.