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The Geometrical Lectures of Isaac Barrow: Translated, With Notes and Proofs, and a Discussion on the Advance Made Therein on the Work of His Predecessors in the Infinitesimal Calculus (Classic Reprint) - Couverture souple

 
9781330146880: The Geometrical Lectures of Isaac Barrow: Translated, With Notes and Proofs, and a Discussion on the Advance Made Therein on the Work of His Predecessors in the Infinitesimal Calculus (Classic Reprint)

Synopsis

Excerpt from The Geometrical Lectures of Isaac BarrowAbout the PublisherForgotten Books publishes hundreds of thousands of rare and classic books.This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value.The digital edition of all books may be viewed on our website before purchase.

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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.
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Forgotten Books is a publisher of historical writings, such as: Philosophy

Présentation de l'éditeur

The Geometrical Lectures of Isaac Barrow was written by J. M. Child in 1916. This is a 231 page book, containing 68515 words and 57 pictures. Search Inside is enabled for this title.
(Typographical errors above are due to OCR software and don't occur in the book.)

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Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.

Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the aged text. Read books online for free at www.forgottenbooks.org

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  • ÉditeurForgotten Books
  • Date d'édition2019
  • ISBN 10 1330146883
  • ISBN 13 9781330146880
  • ReliureBroché
  • Langueanglais
  • Nombre de pages236
  • Coordonnées du fabricantnon disponible

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J. M. Child
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ISBN 10 : 1330146883 ISBN 13 : 9781330146880
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781330146880

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J. M. Child
Edité par Forgotten Books, 2018
ISBN 10 : 1330146883 ISBN 13 : 9781330146880
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Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni

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ISBN 10 : 1330146883 ISBN 13 : 9781330146880
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Paperback. Etat : New. Print on Demand. This book delves into the groundbreaking work of a little-known mathematician who paved the way for the invention of the Infinitesimal Calculus, a crucial tool in modern mathematics. The author meticulously examines the work of this mathematician, placing it within the context of the scientific revolution of the 17th century. This period saw the emergence of new ideas about the universe and the development of new methods for understanding it. The book explores the interplay between geometry and algebra, highlighting how the mathematician's innovative approach to calculus, based on geometric constructions and the concept of infinitely small increments, laid the foundation for the more analytical methods later developed by Isaac Newton and Gottfried Leibniz. Through detailed analysis and insightful commentary, the author reveals the mathematician's often overlooked genius and his significant contribution to the development of calculus, ultimately demonstrating how his work shaped the course of mathematical thought. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781330146880_0

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