Description: Impossibility of Squaring the Circle in the 17th Century : A Debate Among Gregory, Huygens and Leibniz, Paperback by Crippa, Davide, ISBN 3030016374, ISBN-13 9783030016371, Like New Used, Free shipping in the US
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 . 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 These debates eventually culminated with the impossibility result that Leibniz appended to his unpublished treatise on the arithmetical quadrature of the circle.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.Price: 34.36 USD
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Book Title: Impossibility of Squaring the Circle in the 17th Century : A Deba
Number of Pages: VIII, 184 Pages
Language: English
Publication Name: Impossibility of Squaring the Circle in the 17th Century : A Debate among Gregory, Huygens and Leibniz
Publisher: Springer International Publishing A&G
Publication Year: 2019
Subject: History & Philosophy, Geometry / General
Type: Textbook
Item Weight: 16 Oz
Subject Area: Mathematics
Author: Davide Crippa
Item Length: 9.4 in
Series: Frontiers in the History of Science Ser.
Item Width: 6.6 in
Format: Trade Paperback
