The Banach Tarski Paradox

Author: Stan Wagon
Publisher: Cambridge University Press
ISBN: 0521457041
Release Date: 1993-09-24
Genre: Mathematics

This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, and logic. It unifies the results of contemporary research on the paradox and presents several new results including some unusual paradoxes in hyperbolic space. It also provides up to date proofs and discusses many unsolved problems.

The Banach Tarski Paradox

Author: Grzegorz Tomkowicz
Publisher: Cambridge University Press
ISBN: 9781107042599
Release Date: 2016-06-14
Genre: Mathematics

The Banach-Tarski Paradox seems patently false. The authors explain it and its implications in terms appropriate for an undergraduate.

Stochastik

Author: David Meintrup
Publisher: Springer-Verlag
ISBN: 9783540267072
Release Date: 2006-03-30
Genre: Mathematics

Fundierte und anwendungsbezogene Einführung in die Wahrscheinlichkeitstheorie und Statistik. Ob digitale Nachrichtenübertragung, Schaltkreissimulation, Verfahrenstechnik oder Financial Engineering - die meisten modernen Verfahren in der Technik und Informatik beruhen auf stochastischen Prinzipien. Alle Resultate sind in diesem Buch ausführlich motiviert und exakt bewiesen. Hervorragend geeignet für Selbststudium und Vorlesungsbegleitung.

Combinatorial Set Theory

Author: Lorenz J. Halbeisen
Publisher: Springer Science & Business Media
ISBN: 1447121732
Release Date: 2011-11-24
Genre: Mathematics

This book provides a self-contained introduction to modern set theory and also opens up some more advanced areas of current research in this field. The first part offers an overview of classical set theory wherein the focus lies on the axiom of choice and Ramsey theory. In the second part, the sophisticated technique of forcing, originally developed by Paul Cohen, is explained in great detail. With this technique, one can show that certain statements, like the continuum hypothesis, are neither provable nor disprovable from the axioms of set theory. In the last part, some topics of classical set theory are revisited and further developed in the light of forcing. The notes at the end of each chapter put the results in a historical context, and the numerous related results and the extensive list of references lead the reader to the frontier of research. This book will appeal to all mathematicians interested in the foundations of mathematics, but will be of particular use to graduates in this field.

Combinatorial Group Theory and Applications to Geometry

Author: D.J. Collins
Publisher: Springer Science & Business Media
ISBN: 3540637044
Release Date: 1998-03-17
Genre: Mathematics

This book consists of two parts. The first part provides a comprehensive description of that part of group theory which has its roots in topology. The second more advanced part deals with recent work on groups relating to topological manifolds. It is a valuable guide to research in this field. The text contains numerous examples, sketches of proofs and open problems.

L Enseignement math matique

Author:
Publisher:
ISBN: UCAL:B3689521
Release Date: 1985
Genre: Mathematics

Vols. for 1965- include a separately paged section, Bulletin bibliographique.

Simon Stevin

Author:
Publisher:
ISBN: UCAL:B4189916
Release Date: 1986
Genre: Mathematics