The Impossibility of Squaring the Circle in the 17th Century

The Impossibility of Squaring the Circle in the 17th Century
Author :
Publisher : Springer
Total Pages : 189
Release :
ISBN-10 : 9783030016388
ISBN-13 : 3030016382
Rating : 4/5 (88 Downloads)

Book Synopsis The Impossibility of Squaring the Circle in the 17th Century by : Davide Crippa

Download or read book The Impossibility of Squaring the Circle in the 17th Century written by Davide Crippa and published by Springer. This book was released on 2019-03-06 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 These debates eventually culminated with the impossibility result that Leibniz appended to his unpublished treatise on the arithmetical quadrature of the circle.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 circle by certain means (algebraic curves) pointed to metamathematical issues, particularly to the completeness of algebra with respect to geometry. In other words, the question underlying the debate on the solvability of the circle-squaring problem may be thus phrased: can finite polynomial equations describe any geometrical quantity? As the study reveals, this question was central in the early days of calculus, when transcendental quantities and operations entered the stage. Undergraduate and graduate students in the history of science, in philosophy and in mathematics will find this book appealing as well as mathematicians and historians with broad interests in the history of mathematics.


The Impossibility of Squaring the Circle in the 17th Century Related Books

The Impossibility of Squaring the Circle in the 17th Century
Language: en
Pages: 189
Authors: Davide Crippa
Categories: Mathematics
Type: BOOK - Published: 2019-03-06 - Publisher: Springer

DOWNLOAD EBOOK

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. Additonall
Squaring the Circle
Language: en
Pages: 448
Authors: Douglas M. Jesseph
Categories: Mathematics
Type: BOOK - Published: 1999 - Publisher: University of Chicago Press

DOWNLOAD EBOOK

PrefaceList of AbbreviationsChapter One: The Mathematical Career of the Monster of MalmesburyChapter Two: The Reform of Mathematics and of the UniversitiesIdeol
A Philosophical and Mathematical Dictionary
Language: en
Pages: 686
Authors: Charles Hutton
Categories: Astronomy
Type: BOOK - Published: 1815 - Publisher:

DOWNLOAD EBOOK

A Source Book in Medieval Science
Language: en
Pages: 890
Authors: Edward Grant
Categories: History
Type: BOOK - Published: 1974 - Publisher: Harvard University Press

DOWNLOAD EBOOK

This Source Book explores a millennium of European scientific thought accompanied by critical commentary and annotation; nearly half the selections appear for t
Language: en
Pages: 69
Authors: Ernest William Hobson
Categories: Circle-squaring
Type: BOOK - Published: 1913 - Publisher:

DOWNLOAD EBOOK