The Quadrature of the Circle, Containing Demonstrations of the Errors of Geometry in Finding the Approximation in Use, the Quadrature of the Circle and Practical Questions on the Quadrature, Applied to the Astronomical Circles. With an Appendix PDF Download
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Author: John A. PARKER (of New York.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 220
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Book Description
Author: John A. PARKER (of New York.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 220
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Book Description
Author: Davide Crippa
Publisher: Springer
ISBN: 3030016382
Category : Mathematics
Languages : en
Pages : 189
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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 These debates eventually culminated with the impossibility result that Leibniz appended to his unpublished treatise on the arithmetical quadrature of the circle.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.
Author: Douglas M. Jesseph
Publisher: University of Chicago Press
ISBN: 9780226398990
Category : Mathematics
Languages : en
Pages : 448
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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.
Author: Charles Hutton
Publisher:
ISBN:
Category : Astronomy
Languages : en
Pages : 686
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Book Description
Author: Ernest William Hobson
Publisher:
ISBN:
Category : Circle-squaring
Languages : en
Pages : 69
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Book Description
Author: Eduardo Dorrego López
Publisher: Springer Nature
ISBN: 3031243633
Category : Mathematics
Languages : en
Pages : 178
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Book Description
This publication includes an unabridged and annotated translation of two works by Johann Heinrich Lambert (1728–1777) written in the 1760s: Vorläufige Kenntnisse für die, so die Quadratur und Rectification des Circuls suchen and Mémoire sur quelques propriétés remarquables des quantités transcendentes circulaires et logarithmiques. The translations are accompanied by a contextualised study of each of these works and provide an overview of Lambert’s contributions, showing both the background and the influence of his work. In addition, by adopting a biographical approach, it allows readers to better get to know the scientist himself. Lambert was a highly relevant scientist and polymath in his time, admired by the likes of Kant, who despite having made a wide variety of contributions to different branches of knowledge, later faded into an undeserved secondary place with respect to other scientists of the eighteenth century. In mathematics, in particular, he is famous for his research on non-Euclidean geometries, although he is likely best known for having been the first who proved the irrationality of pi. In his Mémoire, he conducted one of the first studies on hyperbolic functions, offered a surprisingly rigorous proof of the irrationality of pi, established for the first time the modern distinction between algebraic and transcendental numbers, and based on such distinction, he conjectured the transcendence of pi and therefore the impossibility of squaring the circle.
Author: Ernest William Hobson
Publisher: Chelsea Publishing Company, Incorporated
ISBN:
Category : Mathematics
Languages : en
Pages : 428
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Book Description
Author: Peter Lynch
Publisher: Gill & Macmillan Ltd
ISBN: 0717169561
Category : Mathematics
Languages : en
Pages : 328
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Book Description
From atom bombs to rebounding slinkies, open your eyes to the mathematical magic in the everyday. Mathematics isn't just for academics and scientists, a fact meteorologist and blogger Peter Lynch has spent the past several years proving through his Irish Times newspaper column and blog, That's Maths.Here, he shows how maths is all around us, with chapters on the beautiful equations behind designing a good concert venue, predicting the stock market and modelling the atom bomb, as well as playful meditations on everything from coin-stacking to cartography. If you left school thinking maths was boring, think again!
Author: F. Jamil Ragep
Publisher: BRILL
ISBN: 9789004101197
Category : Science
Languages : en
Pages : 634
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Book Description
In this volume of conference papers originally presented at the University of Oklahoma, a distinguished group of scholars examines episodes in the transmission of premodern science and provides new insights into its cultural, philosophical and historical significance.
Author: Gottfried Wilhelm Leibniz
Publisher: Cosimo, Inc.
ISBN: 1605205338
Category : Mathematics
Languages : en
Pages : 252
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Book Description
The impact of the work of German mathematician GOTTFRIED WILHELM LEIBNIZ (1646-1716) on modern science and technology is all but incalculable, but for starters, his notation for infinitesimal calculus-which he developed independently of Newton-remains in use today, and his invention of binary counting is the basis for modern computing. He was a powerfully influential philosopher as well, and is still considered, alongside Descartes and Spinoza, one of the great 17th-century rationalists.With no complete edition of his numerous writings on the wide range of subjects he expounded upon available even today, this 1920 collection of his early mathematical manuscripts-as well as some third-party commentary on them-continues to be essential to anyone wishing to understand Leibniz's contributions to modern science.Here students of the history of science and math lovers alike will enjoy Leibniz's thoughts on the infinitesimal calculus, including a series of manuscripts from 1675, 1676, and 1677, plus the essays "Leibniz in London" and "Leibniz and Pascal" by German scholar C.I. Gerhardt.
