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Mathematische Werke: Herausgegeben unter Mitwirkung einer von der königlich preussischen Akademie der Wissenschaften eingesetzten Commission: Cambridge Library Collection - Mathematics

Autor Karl Weierstrass
de Limba Germană Paperback – 17 apr 2013
The German mathematician Karl Weierstrass (1815–97) is generally considered to be the father of modern analysis. His clear eye for what was important is demonstrated by the publication, late in life, of his polynomial approximation theorem; suitably generalised as the Stone–Weierstrass theorem, it became a central tool for twentieth-century analysis. Furthermore, the Weierstrass nowhere-differentiable function is the seed from which springs the entire modern theory of mathematical finance. The best students in Europe came to Berlin to attend his lectures, and his rigorous style still dominates the first analysis course at any university. His seven-volume collected works in the original German contain not only published treatises but also records of many of his famous lecture courses. Volume 2 was published in 1895.
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Specificații

ISBN-13: 9781108059145
ISBN-10: 1108059147
Pagini: 376
Dimensiuni: 210 x 297 x 20 mm
Greutate: 0.9 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Library Collection - Mathematics

Locul publicării:Cambridge, United Kingdom

Cuprins

1. Ueber eine Gattung reell periodischer Functionen; 2. Zur Theorie der bilinearen und quadratischen Formen; 3. Ueber die allgemeinsten eindeutigen un 2n-fach periodischen Functionen von n Veränderlichen; 4. Ueber das sogenannte Dirichlet'sche Princip; 5. Neuer Beweis eines Hauptsatzes der Theorie der periodischen Functionen von mehreren Veränderlichen; 6. Ueber continuirliche Functionen eines reellen Arguments; 7. Bemerkungen zur Integration eines Systems linearer Differentialgleichungen mit constanten Coefficienten; 8. Zur Theorie der eindeutigen analytischen Functionen; 9. Untersuchngen über die 2r-fach periodischen Functionen von r Veränderlichen; 10. Einige auf die Theorie der analytischen Functionen mehrerer Veränderlichen sich beziehende Sätze; 11. Ueber einen functionstheoretischen Satz des Herrn G. Mittag-Leffler; 12. Zur Functionslehre; 13. Aus einem bisher noch nicht veröffentlichten Briefe an Herrn Prof. Schwarz; 14. Zur Theorie der elliptischen Functionen; 15. Zur Theorie der elliptischen Functionen; 16. Zur Theorie der aus n Haupteinheiten gebildeten complexen Grössen; 17. Zu Lindemann's Abhandlung: 'Ueber die Ludolph'sche Zahl'; Anmerkung.

Descriere

Published 1894–1927, the seven-volume collected works in German of the father of modern mathematical analysis, Karl Weierstrass (1815–97).