| Vorliegende Sprache |
eng |
| Hinweise auf parallele Ausgaben |
489666825 Erscheint auch als (Druck-Ausgabe): ‡Hellman, Geoffrey, 1943 - : Varieties of continua |
| ISBN |
978-0-19-871274-9 |
| Name |
Hellman, Geoffrey ¬[VerfasserIn]¬ |
| Shapiro, Stewart ¬[VerfasserIn]¬ |
| ANZEIGE DER KETTE |
Shapiro, Stewart ¬[VerfasserIn]¬ |
| T I T E L |
Varieties of continua |
| Zusatz zum Titel |
from regions to points and back |
| Auflage |
First edition |
| Verlagsort |
Oxford |
| Verlag |
Oxford University Press |
| Erscheinungsjahr |
2018 |
| 2018 |
| Umfang |
Online-Ressource (ix, 208 Seiten) : Diagramme, Illustrationen |
| Notiz / Fußnoten |
Includes bibliographical references and index |
| This edition previously issued in print: 2018 |
| Zielgruppe - Audience: Specialized |
| Titelhinweis |
Erscheint auch als (Druck-Ausgabe): ‡Hellman, Geoffrey, 1943 - : Varieties of continua |
| ISBN |
ISBN 978-0-19-178108-7 : ebook (No price) |
| Klassifikation |
*01-02 |
| 03-03 |
| 03A05 |
| 00A30 |
| 01A20 |
| 01A55 |
| 01A60 |
| 26-03 |
| 51-03 |
| 515.222 |
| B105.C5 |
| CC 2600 |
| Kurzbeschreibung |
Two historical episodes form the background to the research presented here: the first is the remarkably rapid transition in the course of the nineteenth century from the ancient Aristotelian view that a true continuum cannot be composed entirely of points to the now standard, entirely punctiform frameworks for analysis and geometry found in modern texts. The second is the mid-to-late 20th-century revival of pre-limit methods in analysis and geometry using infinitesimals, viz. non-standard analysis due to Abraham Robinson, and the more radical smooth infinitesimal analysis based on intuitionistic logic. One goal of this work is to develop a systematic comparison of these. A second goal is to develop thoroughgoing regions-based theories of classical continua that are mathematically equivalent to the currently standard, punctiform accounts of modern texts |
| 1. Schlagwortkette |
Kontinuum |
| Mathematik |
| ANZEIGE DER KETTE |
Kontinuum -- Mathematik |
| SWB-Titel-Idn |
512424497 |
| Signatur |
E-Book Oxford EBS |
| Bemerkungen |
Elektronischer Volltext - Campuslizenz |
| Elektronische Adresse |
$uhttp://dx.doi.org/10.1093/oso/9780198712749.001.0001 |
| Internetseite / Link |
Volltext |
| Siehe auch |
Volltext |
| Siehe auch |
Inhaltstext |
