Transcendental Curves in the Leibnizian Calculus

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  • Author : Viktor Blasjo
  • Publisher : Academic Press
  • Pages : 282 pages
  • ISBN : 0128132981
  • Rating : /5 from reviews
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Download or Read online Transcendental Curves in the Leibnizian Calculus full in PDF, ePub and kindle. this book written by Viktor Blasjo and published by Academic Press which was released on 22 April 2017 with total page 282 pages. We cannot guarantee that Transcendental Curves in the Leibnizian Calculus book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. Transcendental Curves in the Leibnizian Calculus analyzes the mathematical and philosophical conflict between Euclidean and Cartesian mathematics. For millennia, mathematical meaning and ontology had been anchored in geometrical constructions, as epitomized by Euclid's ruler and compass. As late as 1637, Descartes had placed himself squarely in this tradition when he justified his new technique of identifying curves with equations by means of certain curve-tracing instruments, thereby bringing together the ancient constructive tradition and modern algebraic methods in a satisfying marriage. But rapid advances in the new fields of infinitesimal calculus and mathematical mechanics soon ruined his grand synthesis. Descartes's scheme left out transcendental curves, i.e. curves with no polynomial equation, but in the course of these subsequent developments such curves emerged as indispensable. It was becoming harder and harder to juggle cutting-edge mathematics and ancient conceptions of its foundations at the same time, yet leading mathematicians, such as Leibniz felt compelled to do precisely this. The new mathematics fit more naturally an analytical conception of curves than a construction-based one, yet no one wanted to betray the latter, as this was seen as virtually tantamount to stop doing mathematics altogether. The credibility and authority of mathematics depended on it. Brings to light this underlying and often implicit complex of concerns that permeate early calculus Evaluates the technical conception and mathematical construction of the geometrical method Reveals a previously unrecognized Liebnizian programmatic cohesion in early calculus Provides a beautifully written work of outstanding original scholarship

Transcendental Curves in the Leibnizian Calculus

Transcendental Curves in the Leibnizian Calculus
  • Author : Viktor Blasjo
  • Publisher : Academic Press
  • Release : 22 April 2017
GET THIS BOOK Transcendental Curves in the Leibnizian Calculus

Transcendental Curves in the Leibnizian Calculus analyzes the mathematical and philosophical conflict between Euclidean and Cartesian mathematics. For millennia, mathematical meaning and ontology had been anchored in geometrical constructions, as epitomized by Euclid's ruler and compass. As late as 1637, Descartes had placed himself squarely in this tradition when he justified his new technique of identifying curves with equations by means of certain curve-tracing instruments, thereby bringing together the ancient constructive tradition and modern algebraic methods in a satisfying marriage. But

The Oxford Handbook of Leibniz

The Oxford Handbook of Leibniz
  • Author : Maria Rosa Antognazza
  • Publisher : Oxford University Press
  • Release : 01 October 2018
GET THIS BOOK The Oxford Handbook of Leibniz

The extraordinary breadth and depth of Leibniz's intellectual vision commands ever increasing attention. As more texts gradually emerge from seemingly bottomless archives, new facets of his contribution to an astonishing variety of fields come to light. This volume provides a uniquely comprehensive, systematic, and up-to-date appraisal of Leibniz's thought thematically organized around its diverse but interrelated aspects. Discussion of his philosophical system naturally takes place of pride. A cluster of original essays revisit his logic, metaphysics, epistemology, philosophy of nature,

Infinitesimal Differences

Infinitesimal Differences
  • Author : Ursula Goldenbaum,Douglas Jesseph
  • Publisher : Walter de Gruyter
  • Release : 03 November 2008
GET THIS BOOK Infinitesimal Differences

The development of the calculus during the 17th century was successful in mathematical practice, but raised questions about the nature of infinitesimals: were they real or rather fictitious? This collection of essays, by scholars from Canada, the US, Germany, Japan and Switzerland, gives a comprehensive study of the controversies over the nature and status of the infinitesimal. Aside from Leibniz, the scholars considered are Hobbes, Wallis, Newton, Bernoulli, Hermann, and Nieuwentijt. The collection also contains newly discovered marginalia of Leibniz

Equivalence and Priority

Equivalence and Priority
  • Author : Domenico Bertoloni Meli,Gottfried Wilhelm Freiherr von Leibniz,Research Fellow Domenico Bertoloni Meli
  • Publisher : Oxford University Press, USA
  • Release : 14 June 1993
GET THIS BOOK Equivalence and Priority

Leibniz's dispute with Newton over the physico-mathematical theories expounded in the Principia Mathematica (1687) have long been identified as a crucial episode in the history of science. Bertolini Meli here examines several hitherto unpublished manuscripts in Leibniz's hand illustrating his first reading of and reaction to Newton's Principia. Six of the most important manuscripts are here presented for the first time. Contrary to Leibniz's own claims, this new evidence shows that he had studied Newton's masterpiece before publishing An Essay on

The Mind of Leibniz

The Mind of Leibniz
  • Author : Kurt von S. Kynell
  • Publisher : Unknown
  • Release : 14 June 2021
GET THIS BOOK The Mind of Leibniz

This volume attempts to resolve the century old dispute between Newton and Leibniz over the discovery of the calculus, and also explores both the mind and the life long research of Gottfried Wilhelm von Leibniz, documenting his phenomenal mathematical and philosophical research, as well as the apparent nature and possible origins of genius and human intelligence.

The Impossibility of Squaring the Circle in the 17th Century

The Impossibility of Squaring the Circle in the 17th Century
  • Author : Davide Crippa
  • Publisher : Springer
  • Release : 06 March 2019
GET THIS BOOK The Impossibility of Squaring the Circle in the 17th Century

This book is about James Gregory’s attempt to prove that the quadrature of the circle, the ellipse and the hyperbola cannot be found algebraically. Additonally, the subsequent debates that ensued between Gregory, Christiaan Huygens and G.W. Leibniz are presented and analyzed. These debates eventually culminated with the impossibility result that Leibniz appended to his unpublished treatise on the arithmetical quadrature of the circle. The author shows how the controversy around the possibility of solving the quadrature of the