Was sind und was sollen die Zahlen? by Richard Dedekind (German) Paperback Book

Description: Was sind und was sollen die Zahlen? by Richard Dedekind This influential 1888 publication explained the real numbers, and their construction and properties, from first principles. FORMAT Paperback LANGUAGE German CONDITION Brand New Publisher Description 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 Dedekinds 1888 classic is of the second, unaltered 1893 edition. Table of Contents § 1. Systeme von Elementen.- § 2. Abbildung eines Systems.- § 3. Ähnlichkeit einer Abbildung. Ähnliche Systeme.- § 4. Abbildung eines Systems in sich selbst.- § 5. Das Endliche und Unendliche.- § 6. Einfach unendliche Systeme. Reihe der natÜrlichen Zahlen.- § 7. Größere und kleinere Zahlen.- § 8. Endliche und unendliche Teile der Zahlenreihe.- § 9. Definition einer Abbildung der Zahlenreihe durch Induktion.- § 10. Die Klasse der einfach unendlichen Systeme.- § 11. Addition der Zahlen.- § 12. Multiplikation der Zahlen.- § 13. Potenzierung der Zahlen.- § 14. Anzahl der Elemente eines Systems. Details ISBN3663008754 Author Richard Dedekind Language German ISBN-10 3663008754 ISBN-13 9783663008750 Media Book Format Paperback Birth 1831 Death 1916 Short Title GER-WAS SIND UND WAS SOLLEN DI Edition Description 9. Aufl. 1961 Edition 9th DEWEY 510 Pages 47 Year 1961 Publication Date 1961-01-01 AU Release Date 1961-01-01 NZ Release Date 1961-01-01 UK Release Date 1961-01-01 Imprint Vieweg+Teubner Verlag Place of Publication Weisbaden Country of Publication Germany Illustrations 47 S. Publisher Springer Fachmedien Wiesbaden Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96391123;

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