Can I read Transcendental Curves in the Leibnizian Calculus (Studies in the History of Mathematical Inquiry) on EtoBox?

Transcendental Curves in the Leibnizian Calculus (Studies in the History of Mathematical Inquiry) by Viktor Blasjo is a nonfiction available to read on EtoBox.

What is Transcendental Curves in the Leibnizian Calculus (Studies in the History of Mathematical Inquiry) about?

Transcendental Curves in the Leibnizian Calculus analyzes a mathematical and philosophical conflict between classical and early modern mathematics. In the late 17th century, mathematics was at the brink of an identity crisis. 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

Who reads Transcendental Curves in the Leibnizian Calculus (Studies in the History of Mathematical Inquiry)?

Author

Viktor Blasjo

Publisher

Academic Press, An imprint of Elsevier

Published

2017

Language

EN

ISBN

9780128132371

Category

nonfiction

Subjects

Mathematics, Philosophy, Science