The Impossibility of Squaring the Circle in the 17th Century A Debate Among Gregory, Huygens and Leibniz

The Impossibility of Squaring the Circle in the 17th Century
Auteur: Davide Crippa
  • Engels
  • Paperback
  • 9783030016371
  • Druk: 1st ed. 2019
  • maart 2019
  • 184 pagina's
Alle productspecificaties

Samenvatting

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 These debates eventually culminated with the impossibility result that Leibniz appended to his unpublished treatise on the arithmetical quadrature of the circle.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.

Productspecificaties

Inhoud

Taal
Engels
Bindwijze
Paperback
Druk
1st ed. 2019
Verschijningsdatum
maart 2019
Aantal pagina's
184 pagina's
Illustraties
Nee

Betrokkenen

Auteur(s)
Davide Crippa

EAN

EAN
9783030016371

Overige kenmerken

Extra groot lettertype
Nee
Gewicht
335 g
Studieboek
Ja
Verpakking breedte
168 mm
Verpakking hoogte
240 mm
Verpakking lengte
240 mm

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