High-dimensional knot theory is the study of the embeddings of n-dimensional manifolds in (n+2)-dimensional manifolds, generalizing the traditional study of knots in the case n=1.
Mehrere Gründe bewogen mich, den Plan zu einem Buch über Quantenmechanik zu entwerfen, obwohl es in der Literatur schon manche Darstellung dieses Gebietes gibt.
This is a new and enlarged English edition of the book which, under the title "e;Formeln und Satze fur die Speziellen Funktionen der mathe- matischen Physik"e; appeared in German in 1946.
Bereits seit längerer Zeit hat sich die additive Zahlentheorie als gesonderter Zweig innerhalb der Zahlentheorie herausgebildet; aber erst in den letzten Jahrzehnten hat dieses Gebiet neue Antriebe erhalten.
Die theoretische Logik, auch mathematische oder symbolische Logik genannt, ist eine Ausdehnung der formalen Methode der Mathematik auf das Gebiet der Logik.
Die innere Geometrie einer Fläche ist die Lehre von denjenigen Eigenschaften, die bei isometrischen Abbildungen ungeändert bleiben, also nur von ihrer ersten Fundamentalform abhängen.
In this book we consider deep and classical results of homotopy theory like the homological Whitehead theorem, the Hurewicz theorem, the finiteness obstruction theorem of Wall, the theorems on Whitehead torsion and simple homotopy equivalences, and we characterize axiomatically the assumptions under which such results hold.
The principal purpose of this book is to provide an account of the circle of ideas, results and techniques, which emerged roughly over the last ten years in the study of Brownian motion and random obstacles.
The "e;raison d'etre"e; of hierarchical dustering theory stems from one basic phe- nomenon: This is the notorious non-transitivity of similarity relations.
Symbolic asymptotics has recently undergone considerable theoretical development, especially in areas where power series are no longer an appropriate tool.
In the Part at hand the authors undertake to give a presentation of the historical development of the theory of imbedding of function spaces, of the internal as well as the externals motives which have stimulated it, and of the current state of art in the field, in particular, what regards the methods employed today.
The purpose of this book is to provide a careful and accessible account along modern lines of the subject wh ich the title deals, as weIl as to discuss prob- lems of current interest in the field.
Minimal Surfaces I is an introduction to the field of minimal surfaces and a presentation of the classical theory as well as of parts of the modern development centered around boundary value problems.
Mathematical biology - the use of mathematical ideas andmodels in the biosciences - is a fast growing, very excitingand increasingly important inderdisciplinary field.
The worldwide economic recession of the last years - sometimes described as an outright depression similar to the one of the early thirties - has led many health policy analysts and even policy makers to revive the old question of whether, and in what respect, there is a close relationship between economic development and health.
Classical Sobolev spaces, based on Lebesgue spaces on an underlying domain with smooth boundary, are not only of considerable intrinsic interest but have for many years proved to be indispensible in the study of partial differential equations and variational problems.
