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Was sind und was sollen die Zahlen?

Was sind und was sollen die Zahlen?

by Richard Dedekind
Paperback
Publication Date: 01/01/1961

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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.
ISBN:
9783663008750
9783663008750
Category:
History of mathematics
Format:
Paperback
Publication Date:
01-01-1961
Language:
German
Publisher:
Springer Fachmedien Wiesbaden
Country of origin:
Germany
Edition:
9th Edition
Pages:
47
Dimensions (mm):
210x148x3mm
Weight:
0.1kg

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