The nineteenth century saw the paradoxes and obscurities of eighteenth-century calculus gradually replaced by the exact theorems and statements of rigorous analysis. It became clear that all analysis could be deduced from the properties of the real numbers. But what are the real numbers and why do t...

Ausführliche Beschreibung

Bibliographische Detailangaben

1. Verfasser:	Dedekind, Richard 1831-1916 (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	German
Veröffentlicht:	Cambridge Cambridge University Press 2012
Schriftenreihe:	Cambridge library collection
Schlagworte:	Number theory Zahlentheorie Zahlbegriff
Online-Zugang:	BSB01 FHN01 URL des Erstveröffentlichers
Zusammenfassung:	The nineteenth century saw the paradoxes and obscurities of eighteenth-century calculus gradually replaced by the exact theorems and statements of rigorous analysis. It became clear that all analysis could be deduced from the properties of the real numbers. But what are the real numbers and why do they have the properties we claim they do? In this charming and influential book, Richard Dedekind (1831–1916), Professor at the Technische Hochschule in Braunschweig, showed how to resolve this problem starting from elementary ideas. His method of constructing the reals from the rationals (the Dedekind cut) remains central to this day and was generalised by Conway in his construction of the 'surreal numbers'. This reissue of Dedekind's 1888 classic is of the 'second, unaltered' 1893 edition
Beschreibung:	Originally published in Braunschweig by F. Vieweg in 1891
Beschreibung:	1 online resource (xviii, 58 pages)
ISBN:	9781139237314
DOI:	10.1017/CBO9781139237314