Mathematische Werke
Herausgegeben unter Mitwirkung einer von der königlich preussischen Akademie der Wissenschaften eingesetzten Commission

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

Karl Weierstrass (Author), Rudolf Rothe (Edited by)

9781108059183, Cambridge University Press

Paperback / softback, published 18 April 2013

372 pages, 6 b/w illus.
29.7 x 21 x 2 cm, 0.89 kg

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. Edited by Rudolf Rothe (1873–1942), Volume 6 was published in 1915.

Vorwort
Einleitung
Part I. Der Flächeninhalt des Mantels einers schiefen Kegels mit kreisförmiger Grundfläche
Part II. Die Oberfläche eines dreiaxigen Ellipsoids
Part III. Das Potential eines homogenen Ellipsoids und einer homogenen Ellipse
Part IV. Bestimmung des Intervalls für den Werth des Integrals
Part V. Integration der elliptischen Differentialgleichung
Part VI. Die Theilung der Lemniscate und die complexe Multiplication der elliptischen Functionen
Part VII. Das sphärische und das ebene Pendel
Part VIII. Die Bewegung eines starren Körpers um einen festen Punkt
Part IX. Bestimmung der geodätischen Linien auf einem Rotationsellipsoide
Anmerkungen.

Subject Areas: History of mathematics [PBX]