Transcendental Curves in the Leibnizian Calculus

Written By Viktor Blasjo
Transcendental Curves in the Leibnizian Calculus
  • Publsiher : Academic Press
  • Release : 22 April 2017
  • ISBN : 0128132981
  • Pages : 282 pages
  • Rating : /5 from reviews
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Download or read book entitled Transcendental Curves in the Leibnizian Calculus by author: Viktor Blasjo which was release on 22 April 2017 and published by Academic Press with total page 282 pages . This book available in PDF, EPUB and Kindle Format. 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 Date : 2017-04-22
  • Total pages : 282
  • ISBN : 0128132981
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Summary : 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 ...

Transcendental Curves in the Leibnizian Calculus

Transcendental Curves in the Leibnizian Calculus
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2016
  • Total pages : 253
  • ISBN : 0128132981
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Summary : Read online Transcendental Curves in the Leibnizian Calculus written by , published by which was released on 2016. Download full Transcendental Curves in the Leibnizian Calculus Books now! Available in PDF, ePub and Kindle....

The Oxford Handbook of Leibniz

The Oxford Handbook of Leibniz
  • Author : Maria Rosa Antognazza
  • Publisher : Oxford University Press
  • Release Date : 2018-10-01
  • Total pages : 928
  • ISBN : 0128132981
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Summary : 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 ...

The Tangled Origins of the Leibnizian Calculus

The Tangled Origins of the Leibnizian Calculus
  • Author : Richard C. Brown
  • Publisher : World Scientific
  • Release Date : 2012
  • Total pages : 332
  • ISBN : 0128132981
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Summary : This book is a detailed study of Gottfried Wilhelm Leibniz''s creation of calculus from 1673 to the 1680s. We examine and analyze the mathematics in several of his early manuscripts as well as various articles published in the Acta Eruditorum. It studies some of the other lesser known OC calculiOCO Leibniz ...

The Tangled Origins of the Leibnizian Calculus

The Tangled Origins of the Leibnizian Calculus
  • Author : Richard C Brown
  • Publisher : World Scientific
  • Release Date : 2012-03-23
  • Total pages : 332
  • ISBN : 0128132981
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Summary : This book is a detailed study of Gottfried Wilhelm Leibniz's creation of calculus from 1673 to the 1680s. We examine and analyze the mathematics in several of his early manuscripts as well as various articles published in the Acta Eruditorum. It studies some of the other lesser known “calculi” Leibniz created ...

Jacob Hermann and the Diffusion of the Leibnizian Calculus in Italy

Jacob Hermann and the Diffusion of the Leibnizian Calculus in Italy
  • Author : Silvia Mazzone,Clara Silvia Roero
  • Publisher : Olschki
  • Release Date : 1997
  • Total pages : 554
  • ISBN : 0128132981
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Summary : Read online Jacob Hermann and the Diffusion of the Leibnizian Calculus in Italy written by Silvia Mazzone,Clara Silvia Roero, published by Olschki which was released on 1997. Download full Jacob Hermann and the Diffusion of the Leibnizian Calculus in Italy Books now! Available in PDF, ePub and Kindle....

Leibniz and the Structure of Sciences

Leibniz and the Structure of Sciences
  • Author : Vincenzo De Risi
  • Publisher : Springer Nature
  • Release Date : 2020-01-01
  • Total pages : 298
  • ISBN : 0128132981
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Summary : The book offers a collection of essays on various aspects of Leibniz’s scientific thought, written by historians of science and world-leading experts on Leibniz. The essays deal with a vast array of topics on the exact sciences: Leibniz’s logic, mereology, the notion of infinity and cardinality, the foundations ...

Infinitesimal Differences

Infinitesimal Differences
  • Author : Ursula Goldenbaum,Douglas Jesseph
  • Publisher : Walter de Gruyter
  • Release Date : 2008-11-03
  • Total pages : 633
  • ISBN : 0128132981
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Summary : 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 History of Continua

The History of Continua
  • Author : Stewart Shapiro,Geoffrey Hellman
  • Publisher : Oxford University Press
  • Release Date : 2020-12-01
  • Total pages : 212
  • ISBN : 0128132981
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Summary : Mathematical and philosophical thought about continuity has changed considerably over the ages. Aristotle insisted that continuous substances are not composed of points, and that they can only be divided into parts potentially. There is something viscous about the continuous. It is a unified whole. This is in stark contrast with ...

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 Date : 2019-03-06
  • Total pages : 184
  • ISBN : 0128132981
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Summary : 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 ...

Anachronisms in the History of Mathematics

Anachronisms in the History of Mathematics
  • Author : Niccol- Guicciardini
  • Publisher : Cambridge University Press
  • Release Date : 2021-07-22
  • Total pages : 392
  • ISBN : 0128132981
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Summary : Discover essays by leading scholars on the history of mathematics from ancient to modern times in European and non-European cultures....

Research in History and Philosophy of Mathematics

Research in History and Philosophy of Mathematics
  • Author : Maria Zack,Dirk Schlimm
  • Publisher : Springer Nature
  • Release Date : 2020-01-02
  • Total pages : 172
  • ISBN : 0128132981
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Summary : This volume contains ten papers that have been collected by the Canadian Society for History and Philosophy of Mathematics/Société canadienne d’histoire et de philosophie des mathématiques. It showcases rigorously-reviewed contemporary scholarship on an interesting variety of topics in the history and philosophy of mathematics from the ...

Families of Curves and the Origins of Partial Differentiation

Families of Curves and the Origins of Partial Differentiation
  • Author : S.B. Engelsman
  • Publisher : Elsevier
  • Release Date : 2000-04-01
  • Total pages : 237
  • ISBN : 0128132981
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Summary : This book provides a detailed description of the main episodes in the emergence of partial differentiation during the period 1690-1740. It argues that the development of this concept - to a considerable degree of perfection - took place almost exclusively in problems concerning families of curves. Thus, the book shows ...

L H pital s Analyse des infiniments petits

L   H  pital s Analyse des infiniments petits
  • Author : Robert E Bradley,Salvatore J. Petrilli,C. Edward Sandifer
  • Publisher : Birkhäuser
  • Release Date : 2015-07-20
  • Total pages : 311
  • ISBN : 0128132981
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Summary : This monograph is an annotated translation of what is considered to be the world’s first calculus textbook, originally published in French in 1696. That anonymously published textbook on differential calculus was based on lectures given to the Marquis de l’Hôpital in 1691-2 by the great Swiss mathematician, Johann ...

Joseph Liouville 1809 1882

Joseph Liouville 1809   1882
  • Author : Jesper Lützen
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Total pages : 885
  • ISBN : 0128132981
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Summary : This scientific biography of the mathematician Joseph Liouville is divided into two parts. The first part is a chronological account of Liouville's career including a description of the institutions he worked in, his relations with his teachers, colleagues and students, and the historical context of his works. It portrays the ...