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The Impossibility of Squaring the Circle in the 17th Century: A Debate Among Gregory, Huygens and Leibniz (Frontiers in the History of Science) - Softcover
Synopsis
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 These debates eventually culminated with the impossibility result that Leibniz appended to his unpublished treatise on the arithmetical quadrature of the circle.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."synopsis" may belong to another edition of this title.
Review
“This book, we are told, is an “abridged and improved” version of the author’s doctoral dissertation, and, in fact, it does read something like a doctoral dissertation: very scholarly and thorough, replete with copious and often lengthy footnotes ... . people with a serious interest in the history of science or mathematics will want a copy of this book on their shelves. Any good university library will as well.” (Mark Hunacek, MAA Reviews, June 03, 2019)
"About this title" may belong to another edition of this title.
- PublisherBirkhäuser
- Publication date2019
- ISBN 10 3030016374
- ISBN 13 9783030016371
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages192
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The Impossibility of Squaring the Circle in the 17th Century
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 treatiseon 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 Asthe 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. 192 pp. Englisch. Seller Inventory # 9783030016371
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Impossibility of Squaring the Circle in the 17th Century : A Debate Among Gregory, Huygens and Leibniz
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The Impossibility of Squaring the Circle in the 17th Century: A Debate Among Gregory, Huygens and Leibniz (Frontiers in the History of Science)
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The Impossibility of Squaring the Circle in the 17th Century : A Debate Among Gregory, Huygens and Leibniz
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 treatiseon 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 Asthe 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. Seller Inventory # 9783030016371
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The Impossibility of Squaring the Circle in the 17th Century: A Debate Among Gregory, Huygens and Leibniz
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The Impossibility of Squaring the Circle in the 17th Century
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Delivers an unprecedented perspective on this topicGives a fresh picture of the mathematics in the 17th Century based on previously unstudied documentsConveys mathematics with minimal technical requirements and thorough expl. Seller Inventory # 241310966
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