Download Free On The Quadrature Of The Circle Book in PDF and EPUB Free Download. You can read online On The Quadrature Of The Circle and write the review.

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 These debates eventually culminated with the impossibility result that Leibniz appended to his unpublished treatise on the arithmetical quadrature of the circle.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.
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.
Squaring the Circle is a collection of fantastic tales by Gheorghe Sasarman, selected and translated by Ursula K. Le Guin, which Aqueduct Press will be releasing in trade paper back in May 2013. The tales in Squaring the Circle were written in Rumania, in Rumanian, in 1969. The book has been previously published in French and Spanish translations. Ursula K. Le Guin, reading the Spanish translation, felt compelled to bring 24 of its 36 tales into English. As she writes in her introduction, "Some books, unread books, exert the effect. Its not rational, not easy to explain. They dont glow or vibrate, though thats what theyd do in an animated movie. They just are in view, theyre there. Theres this book, on the shelf in a book store or the library or like this one in a pile on my desk, and it is visible, silently saying read me. And even if I have no idea what it is and what its about, I have to read it." The result of Le Guin's compulsion is this English edition of Sasarman's tales.
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.
This truly unique new title should appeal to both mathematicians and mathematics educators. It should also find a small market among professional and reference book buyers: mathematical professionals with interest in travel, art, architecture. The title is intended for math students who are interested in art, or art students with an interest (or requirement) in mathematics, or professionals with interest in mathematics and art. Geometry concepts are introduced by analyzing well known buildings and works of art. The book is packaged with an access code which allows the reader into a protected site, which will contain most of the fine art from the book in full color as well as teaching resources. The text appeals both to mathematicians and to artists and will generally be used in courses that bridge the two subjects.