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,

The Tangled Origins of the Leibnizian Calculus

The Tangled Origins of the Leibnizian Calculus
  • Author : Richard C. Brown
  • Publisher : World Scientific
  • Release : 18 May 2022
GET THIS BOOK The Tangled Origins of the Leibnizian Calculus

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 created such as the Analysis Situs, delves into aspects of his logic, and gives an overview of his efforts to construct a Universal Characteristic, a goal that has its distant

The Tangled Origins of the Leibnizian Calculus

The Tangled Origins of the Leibnizian Calculus
  • Author : Richard C Brown
  • Publisher : World Scientific
  • Release : 23 March 2012
GET THIS BOOK The Tangled Origins of the Leibnizian Calculus

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 such as the Analysis Situs, delves into aspects of his logic, and gives an overview of his efforts to construct a Universal Characteristic, a goal that has its distant origin

Leibniz and the Structure of Sciences

Leibniz and the Structure of Sciences
  • Author : Vincenzo De Risi
  • Publisher : Springer Nature
  • Release : 01 January 2020
GET THIS BOOK Leibniz and the Structure of Sciences

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 of geometry, the theory of curves and differential geometry, and finally dynamics and general epistemology. Several chapters attempt a reading of Leibniz’s scientific works through modern mathematical tools, and

The History of Continua

The History of Continua
  • Author : Stewart Shapiro,Geoffrey Hellman
  • Publisher : Oxford University Press, USA
  • Release : 01 February 2021
GET THIS BOOK The History of Continua

Mathematical and philosophical thought about continuity has changed considerably over the ages, from Aristotle's insistence that a continuum is a unified whole, to the dominant account today, that a continuum is composed of infinitely many points. This book explores the key ideas and debates concerning continuity over more than 2500 years.

Historical Scientific Instruments in Contemporary Education

Historical Scientific Instruments in Contemporary Education
  • Author : Anonim
  • Publisher : BRILL
  • Release : 15 November 2021
GET THIS BOOK Historical Scientific Instruments in Contemporary Education

When science’s “black boxes” are pried open, its workings become accessible. Like time-travellers into history but grounded in today’s cultures, learners interact directly with authentic instruments and replicas. Chapters describe educational experiences sparked through collaborations interrelating museum, school and university.

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

Research in History and Philosophy of Mathematics

Research in History and Philosophy of Mathematics
  • Author : Maria Zack,Dirk Schlimm
  • Publisher : Springer Nature
  • Release : 02 January 2020
GET THIS BOOK Research in History and Philosophy of Mathematics

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 seventeenth century to the modern era. The volume begins with an exposition of the life and work of Professor Bolesław Sobociński. It then moves on to cover a

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 : 01 April 2000
GET THIS BOOK Families of Curves and the Origins of Partial Differentiation

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 the origins of the ideas and techniques which paved the way for the sudden introduction of partial differential equations in 1750. The main methodological characteristic of the book is its emphasis

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 : 20 July 2015
GET THIS BOOK L H pital s Analyse des infiniments petits

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 Bernoulli. In the 1920s, a copy of Bernoulli’s lecture notes was discovered in a library in Basel, which presented the opportunity to compare Bernoulli’s notes, in Latin, to

Joseph Liouville 1809 1882

Joseph Liouville 1809   1882
  • Author : Jesper Lützen
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOK Joseph Liouville 1809 1882

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 French scientific community in a period when Germany and England had surpassed France as the leading nations in mathematics and physics. The second part of the book gives a detailed