Author: Davide Crippa
Publisher: Springer
ISBN: 3030016382
Category : Mathematics
Languages : en
Pages : 184
Book Description
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 These debates eventually culminated with the impossibility result that Leibniz appended to his unpublished treatise on the arithmetical quadrature of the circle.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
Author: Davide Crippa
Publisher: Springer
ISBN: 3030016382
Category : Mathematics
Languages : en
Pages : 184
Book Description
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 These debates eventually culminated with the impossibility result that Leibniz appended to his unpublished treatise on the arithmetical quadrature of the circle.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.
Publisher: Springer
ISBN: 3030016382
Category : Mathematics
Languages : en
Pages : 184
Book Description
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.
Presses, Dies and Special Machinery
Author: E.W. Bliss Co
Publisher:
ISBN:
Category : Power presses
Languages : en
Pages : 590
Book Description
Publisher:
ISBN:
Category : Power presses
Languages : en
Pages : 590
Book Description
Squaring the Circle
Author: Douglas M. Jesseph
Publisher: University of Chicago Press
ISBN: 9780226398990
Category : Mathematics
Languages : en
Pages : 448
Book Description
PrefaceList of AbbreviationsChapter One: The Mathematical Career of the Monster of MalmesburyChapter Two: The Reform of Mathematics and of the UniversitiesIdeological Origins of the DisputeChapter Three: De Corpore and the Mathematics of MaterialismChapter Four: Disputed FoundationsHobbes vs. Wallis on the Philosophy of MathematicsChapter Five: The "Modern Analytics" and the Nature of DemonstrationChapter Six: The Demise of Hobbesian GeometryChapter Seven: The Religion, Rhetoric, and Politics of Mr. Hobbes and Dr. WallisChapter Eight: Persistence in ErrorWhy Was Hobbes So Resolutely Wrong?Appendix: Selections from Hobbes's Mathematical WritingsReferencesIndex Copyright © Libri GmbH. All rights reserved.
Publisher: University of Chicago Press
ISBN: 9780226398990
Category : Mathematics
Languages : en
Pages : 448
Book Description
PrefaceList of AbbreviationsChapter One: The Mathematical Career of the Monster of MalmesburyChapter Two: The Reform of Mathematics and of the UniversitiesIdeological Origins of the DisputeChapter Three: De Corpore and the Mathematics of MaterialismChapter Four: Disputed FoundationsHobbes vs. Wallis on the Philosophy of MathematicsChapter Five: The "Modern Analytics" and the Nature of DemonstrationChapter Six: The Demise of Hobbesian GeometryChapter Seven: The Religion, Rhetoric, and Politics of Mr. Hobbes and Dr. WallisChapter Eight: Persistence in ErrorWhy Was Hobbes So Resolutely Wrong?Appendix: Selections from Hobbes's Mathematical WritingsReferencesIndex Copyright © Libri GmbH. All rights reserved.
Illustrated Catalogue of Machine Tools, Wood Working Machinery, Etc. for Manufacturing Plants and Machine Shops
Author: Fairbanks Company, New York
Publisher:
ISBN:
Category : Machine-tools
Languages : en
Pages : 658
Book Description
Publisher:
ISBN:
Category : Machine-tools
Languages : en
Pages : 658
Book Description
The Circle Squared. Three Famous Problems of Antiquity Geometrically Solved, Etc
Author: William UPTON (B.A., of Trinity College, Dublin.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 52
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 52
Book Description
Squaring the Circle
Author: Soo Downe
Publisher:
ISBN: 9781780664408
Category :
Languages : en
Pages : 256
Book Description
Squaring the Circle is a cutting-edge guide to the state of the art of normal childbirth, with contributions from world-renowned experts in their fields.
Publisher:
ISBN: 9781780664408
Category :
Languages : en
Pages : 256
Book Description
Squaring the Circle is a cutting-edge guide to the state of the art of normal childbirth, with contributions from world-renowned experts in their fields.
Sheet Metal Shop and Pattern Cutter's Magazine
The Teacher's Hand-book of Slj̲d
Author: Otto Aron Salomon
Publisher:
ISBN:
Category : Sloyd
Languages : en
Pages : 288
Book Description
Publisher:
ISBN:
Category : Sloyd
Languages : en
Pages : 288
Book Description
The Teacher's Hand-book of Slöjd
Author: Otto Aron Salomon
Publisher:
ISBN:
Category : Sloyd
Languages : en
Pages : 288
Book Description
Publisher:
ISBN:
Category : Sloyd
Languages : en
Pages : 288
Book Description
Sheet Metal Worker
Author:
Publisher:
ISBN:
Category : Sheet-metal work
Languages : en
Pages : 1016
Book Description
Publisher:
ISBN:
Category : Sheet-metal work
Languages : en
Pages : 1016
Book Description