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

Description: Was sind und was sollen die Zahlen? by Richard Dedekind What are the real numbers? In this influential 1888 book (reissued here in its second, unaltered 1893 edition), Richard Dedekind (1831–1916), 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. FORMAT Paperback LANGUAGE English 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 Vorwort; 1. Systeme von Elementen; 2. Abbildung eines Systems; 3. Aehnlichkeit einer Abbildung; 4. Abbildung eines Systems in sich selbst; 5. Das Endliche und Unendliche; 6. Einfach unendliche Systeme; 7. Grössere und kleinere Zahlen; 8. Endliche und unendliche Theile der Zahlenreihe; 9. Definition einer Abbildung der Zahlenreihe durch Induction; 10. Die Classe der einfach unendlichen Systeme; 11. Addition der Zahlen; 12. Multiplication der Zahlen; 13. Potenzirung der Zahlen; 14. Anzahl der Elemente eines endlichen Systems. Promotional This influential 1888 publication explained the real numbers, and their construction and properties, from first principles. Promotional "Headline" This influential 1888 publication explained the real numbers, and their construction and properties, from first principles. Description for Bookstore What are the real numbers? In this influential 1888 book (reissued here in its second, unaltered 1893 edition), Richard Dedekind (1831-1916), 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. Description for Library What are the real numbers? In this influential 1888 book (reissued here in its second, unaltered 1893 edition), Richard Dedekind (1831-1916), 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. Details ISBN1108050387 Author Richard Dedekind Series Cambridge Library Collection - Mathematics Year 2012 ISBN-10 1108050387 ISBN-13 9781108050388 Format Paperback Imprint Cambridge University Press Place of Publication Cambridge Country of Publication United Kingdom Short Title WAS SIND UND WAS SOLLEN DIE ZA Language English Media Book Pages 84 DEWEY 512.72 Birth 1831 Death 1916 Publication Date 2012-08-02 Publisher Cambridge University Press UK Release Date 2012-08-02 AU Release Date 2012-08-02 NZ Release Date 2012-08-02 Illustrations Worked examples or Exercises Alternative 9781139237314 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:91390225;

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