Cayley a rthur (3 risultati)

Ausgebunden aus: [The Philosophical Transactions of the Royal Society of London, 1868]. kl.4°. 12 S. (S.577-588]. Hlnkart., S. 577 mit zwei hs. Notizen mit Bleistift, Blätter vereinzelt geringfügig fingerfleckig, insgesamt gut erhalten. Erstausgabe.

(27,5 x 21,5 cm). (2) 38 S. Rückenbroschur. Erste Ausgabe der französischen Zusammenfassung seiner beiden berühmten Arbeiten "On the Theory of Linear Transformations" und "On Linear Transformations". - "In 1843 Cayley was moved by Boole's paper to calculate the invariants of nth-order forms. Later he published a revised version of two papers he had written. He also attempted to discover the relations between independent invariants - or 'hyperdeterminants,' as he called them at first, looking upon algebraic invariance as a generalized form of the multiplication of determinants. Cayley may be regarded as the first mathematician to have stated the problem of algebraic invariance in general terms" (DSB). - Durchgehend etwas stockfleckig und ohne die auf dem Titel angegebende Tafel, die jedoch nicht zur Arbeit von Cayley gehört. - DSB 3, 162.…

In October, 1853, a few months before the publication of The Laws of Thought, Boole's theory of probability and in particular his treatment of independent causes was criticized by Arthur Cayley, a brilliant mathematician and close friend of Boole, who later developed matrix calculus. Boole replied in a short article, stating that he had a more general approach to the problem, which would be fully developed in The Laws of Thought. It was not. As soon as The Laws of Thought was published, it was attacked by Wilbraham, who argued convincingly that Boole introduced unnecessary assumptions and that those assumptions distorted the results. Boole had labored for several years to overcome the difficulties expressed by Wilbraham, but not too successfully (Keynes, p. 188). In the above paper, Cayley tries to settle the dispute and summarizes the remaining differences between him and Boole. He incorporates a letter from Boole which stubbornly defends Boole's initial assumptions. Two of the greatest mathematicians of the nineteenth century struggled to define the notion of "independent-causes," a problem that modern statisticians still find perplexing. Octavo. Complete issue in original printed wrappers, uncut and unopened. Spine slightly chipped, otherwise fine.…