# Transcendental Curves in the Leibnizian Calculus

Download or read online Transcendental Curves in the Leibnizian Calculus PDF book by Viktor Blasjo in ePUB, PDF or Kindle eBooks. Published by Academic Press in 22 April 2017 the book become immediate popular and critical acclaim in Mathematics books with total hardcover page 282. Click Download Book button to get book file. Read some info about this book below.

- Author : Viktor Blasjo
- Publisher : Academic Press
- Release : 22 April 2017
- ISBN : 9780128132982
- Page : 282 pages
- Language : English
- Total View : 5876 Views
- File Size : 43,8 Mb

## Transcendental Curves in the Leibnizian Calculus Book PDF 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 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

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Transcendental Curves in the Leibnizian Calculus PDF book is popular Mathematics book written by Viktor Blasjo. The book was released by Academic Press in 22 April 2017 with total hardcover pages 282. 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

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