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Jacob Steiner's Gesammelte Werke

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Jacob Steiner's Gesammelte Werke

Jacob Steiner's Gesammelte Werke

Herausgegeben auf Veranlassung der königlich preussischen Akademie der Wissenschaften
Volume 1:
Jakob Steiner
Karl Weierstrass
October 2013
1
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Paperback
9781108059213

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    Description

    The Swiss mathematician Jakob Steiner (1796–1863) came from a poor background with an incomplete education, yet such was his mathematical talent that eventually the Prussian university system adapted itself to him rather than he to it. A geometer in an age dominated by analysts, he pursued his own interests in his own way. The elegant results which bear his name - including Steiner circles, systems and symmetrisation - are known to most mathematicians today. Considered by many to be the greatest geometer since Apollonius of Perga, Steiner did important work on systemising geometry, laying the foundation for much later work on projective geometry. Edited by the eminent mathematician Karl Weierstrass (1815–97), this two-volume edition of Steiner's collected works offers scholars access to his influential writings in the original German. Volume 1 was published in 1881.

    Product details

    October 2013
    Paperback
    9781108059213
    584 pages
    244 × 170 × 30 mm
    0.92kg
    45 b/w illus.
    Available

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    Contents

    Table of Contents

    • Vorrede
    • 1. Einige geometrische Sätze
    • 2. Einige geometrische Betrachtungen
    • 3. Einige Gesetze über die Theilung der Ebene und des Raumes
    • 4. Leighter Beweis eines stereometrischen Satzes von Euler
    • 5. Verwandlung und Theilung sphärishcer Figuren durch Construction
    • 6. Auflösung einer geometrischer Aufgabe aus Gergonne's Annales de Mathém.
    • 7. Aufgaben und Lehrsätze
    • 8. Geometrische Lehrsätze
    • 9. Zwei polygonometrische Sätze
    • 10. Auflösung einer Aufgabe aus den Annalen der Mathematik von Herrn Gergonne
    • 11. Vorgelegte Lehrsätze
    • 12. Anmerkungen zu einer Aufgabe in Crelle's Journal Band III
    • 13. Bemerkungen zu einem Aufsatze in Crelle's Journal Band III
    • 14. Vorgelegte Aufgaben und Lehrsätze
    • 15. Démonstration de quelques théorèmes de géometrie
    • 16. Développement d'une série de théorèmes relatifs aux sections coniques
    • 17. Recherche des relations entre les rayons des cercles qui touchent trois droites données sur un plan et entre les rayons des sphères qui touchent quatre plans donnés dans l'espace
    • 18. Théorèmes à démontrer et problèmes à résoudre
    • 19. Systemmatische Entwickelung der Abhängigkeit geometrischer Gestalten von einander
    • 20. Die geometrischen Constructionen ausgefürht mittelst der geraden Linie und Eines festen Kreises
    • 21. Anmerkungen des Herausgebers.
      • Show more

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    Additional Information
    About the authors
      Author
    • Jakob Steiner
      • Editor
    • Karl Weierstrass

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