Der barycentrische Calcül ein neues Hülfsmittel zur analytischen Behandlung der Geometrie.

MÖBIUS, August Ferdinand

Verlag: Johann Ambrosius Barth, Leipzig, 1827

Beschreibung

8vo (213 x 125 mm). [2], xxiv, 454 [3] pp., including errata leaf and 4 folding engraved plates bound at end. Near contemporary moire cloth, spine with gilt-lettered label, red-sprinkled edges (slight rubbing to extremities, short split to cloth at head of upper hinge). Text little age-toned and with occasional brown spotting. Illegible faint circular ink stamp at foot of title-page. A fine and unmarked copy. ---- DSB IX, p.430; Darmstaedter 372; NDB XVII, p.601; Poggendorff II, p.165. - FIRST EDITION of Möbius' "greatest work, which later became a mathematical classic. not only his most important mathematical publication, but also the source of much of his later work. He had come upon the fundamental ideas for his barycentric calculus in 1818 and by 1821 decided that they merited book-length treatment. In an appendix to his 1823 astronomical treatise, he had given a first discussion of his new method. As he stated in the foreword to his 1827 treatise, the concept of the centroid had been recognized by Archimedes as a useful tool for geometrical investigations." (DSB). Möbius is best remembered for his discovery of the Möbius strip in 1858, a non-orientable two-dimensional surface with only one side when embedded in three-dimensional Euclidean space. Erste Ausgabe von Möbius' Hauptwerk. "Der 'barycentrische Calcul' eröffnete den heute zum Allgemeingut gewordenen Umgang mit homogenen Koordinaten in der projektiven Geometrie. Felix Klein sah in Möbius einen Vorläufer seines 'Erlanger Programms'" (NDB). Der Name des Gauss-Schülers Möbius ist heute mit einer ganzen Reihe wichtiger mathematischer Begriffe und Entwicklungen verbundenen, darunter das von ihm 1858 entdeckte 'Möbiusband'. - Visit our website for additional images and information. Bestandsnummer des Verkäufers 002761

Bibliografische Details

Titel: Der barycentrische Calcül ein neues ...

Verlag: Johann Ambrosius Barth, Leipzig

Erscheinungsdatum: 1827

Einband: Hardcover

Zustand: Very Good

Auflage: 1st Edition