Geometrical Lectures of Isaac Barrow

Isaac Barrow, J. M. Child

ISBN 10: 1605204226 / ISBN 13: 9781605204222

Edité par Cosimo Classics 2008-12-01, 2008

A propos de cet article

N° de réf. du vendeur 6666-IUK-9781605204222

Détails bibliographiques

• Titre: Geometrical Lectures of Isaac Barrow
• Éditeur: Cosimo Classics 2008-12-01
• Date de parution: 2008
• Langue: anglais
• ISBN à 10 chiffres: 1605204226
• ISBN à 13 chiffres: 9781605204222
• Reliure: Paperback
• État de l'article: New

A propos de ce titre

Synopsis

English mathematician ISAAC BARROW (1630-1677), one of the inventors of calculus, had a profound impact on his student, Isaac Newton. Here, in this 1916 volume, British historian of mathematics JAMES MARK CHILD translates from the original Latin Barrow's masterpiece, Lectiones Opticae et Geometricae, his lectures on mathematics, demonstrating Barrow's essential role in the development of the higher math. Complete with Child's comprehensive introduction to Barrow's life and notes and discussion on his work, this new edition of an important but hard-to-find book will intrigue students of the history of science and math lovers alike,

Présentation de l'éditeur

Infinitesimal Calculus ;N ewton got the main idea of it from Barrow by personal communication; and Leibniz also was in some measure indebted to Barrow swork, obtaining confirmation of his own original ideas, and suggestions for their further development, from the copy of Bar rows book that he purchased in 1673. The above is the ultimate conclusion that I have arrived at, as the result of six months close study of a single book, my first essay in historical research. By the Infinitesimal Calculus, 1intend a complete set of standard forms for both the differential and integral sections of the subject, together with rules for their combination, such as for a product, a quotient, or a power of a function; and also a recognition and demonstration of the fact that differentiation and integration are inverse operations. The case of Newton is to my mind clear enough. Barrow was familiar with the paraboliforms, and tangents and areas connected with them, in from 1655 to 1660 at the very latest; hence he could at this time differentiate and integrate by his own method any rational positive power of a variable, and thus also a sum of such powers. He further developed it in the years 1662-3-4, and in the latter year probably had it fairly complete. In this year he communicated toN ewton the great secret of his geometrical constructions, as far as it is humanly possible to judge from a collection of tiny scraps of circumstantial evidence; and it was probably this that set Newton to work on an attempt to express everything as a sum of powers of the variable. During the next yearN ewton began to reflect on his method of fluxions, and actually did produce his Analysis per quationes. This, though composed in 1666, was not published until 1711.
(Typographical errors above are due to OCR software and don't occur in the book.)

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