Lot 976 Colin Mac Laurin. A Treatise of Fluxions. In …

A Treatise of Fluxions. In Two Books. 2 Bände. Mit 41 (num X-XL, Taf XXV doppelt) gefalteten Kupfertafeln. Edinburgh, Ruddimans, 1742. 3 Bl. (Vortit., Tit., Widm.), vi, 412. 1 Bl. (Tit.), 413-763 (1, Errata). Kl.-4°. Geglätt. Kalbldr. d. Zt. über 5 Schmuckbünden, reich ornament. Rgoldpräg. über 6 Abteilungen mit RTit. (auf Lederschild) und Bandnr., Stehkantenvergoldung, sowie umseitig roten und gesprenkelten Schnitt (Rücken, Kapitale, Ecken und stw. Kanten mit älterer ergänzender Restaurierung, beschabt und berieben).

Mathematik

Naturwissenschaften – Erste Ausgabe des Hauptwerks des schottischen Mathematikers MacLaurin (1698-1746), einen frühen Verteidiger der Newtonschen Methoden. - DSB VIII, 609-11, insb. 610. - Norman 1408 (noteworthy"). - Poggendorff II, 5f. - "The earliest logical and systematic publication of the Newtonian methods. It stood as a model of rigor until the appariere of Cauchy's Cours d'Analyse in 1821" (DSB) Als Antwort auf die Kritik von Berkeley an den Grundlagen der von MacLaurin erarbeiteten Analysis formuliert, beinhaltet das einflußreiche Werk die Beweisführung der später nach dem Verfasser benannten "MacLaurinsche Reihe", ein Sonderfall der Taylor-Reihe, auf den MacLaurin auch Bezug nimmt. Außerdem schuf der Verfasser mit vorliegendem Werk die Grundlagen für die Entwicklung der Euler-Maclaurin-Formel. - Vorsätze stärker und Titelei geringer leimschattig, die Titelblätter verso mit geringen Klebstoffresten von entfernten Exlibris, sonst sehr gut erhaltenes, breitrandiges Exemplar, kaum fleckig, nur leicht und gleichmäßig gebräunt.

Natural Sciences – Mathematics. - First edition of the magnum opus by Scottish mathematician MacLaurin (1698-1746), an early proponent of Newtonian methods, a work richly illustrated with 41 folding copper engraved plates (numbered I-XL, XXV double). - For references see above. - 'The earliest logical and systematic publication of Newtonian methods. It stood as a model of rigour until the appearance of Cauchy's Cours d'Analyse in 1821.' (DSB) Formulated in response to Berkeley's criticism of the foundations of the analysis, this influential work contains the proof of what later became known as the 'MacLaurin series', a special case of the Taylor series, to which MacLaurin also refers. In addition, with this work, the author laid the foundations for the development of the 'Euler-Maclaurin formula'. - Endpapers stronger and title page slightly discoloured by former glueing, title pages verso with minor adhesive residue from removed bookplates. Otherwise a very well-preserved copy indeed, wide margins, hardly any stains, only slightly and evenly browned.

Startprice: 2200 €
Estimate: 2800 €

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