Download or read book The Impossibility of Squaring the Circle in the 17th Century written by Davide Crippa and published by Springer. This book was released on 2019-03-06 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 These debates eventually culminated with the impossibility result that Leibniz appended to his unpublished treatise on the arithmetical quadrature of the circle.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.
Download or read book Squaring the Circle written by Douglas M. Jesseph and published by University of Chicago Press. This book was released on 1999 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book 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 written by John A. PARKER (of New York.) and published by . This book was released on 1851 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quadrature of the Circle written by John A. Parker and published by . This book was released on 1874 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Quadrature and Geometry of the Circle Demonstrated written by James Smith and published by . This book was released on 1872 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Squaring the Circle written by Paul Calter and published by Key Curriculum Press. This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Squaring the Circle written by Ernest William Hobson and published by . This book was released on 1913 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Squaring the Circle written by Ernest William Hobson and published by Chelsea Publishing Company, Incorporated. This book was released on 1953 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Squaring the Circle written by Soo Downe and published by . This book was released on 2017-10 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Tradition Transmission Transformation written by F. Jamil Ragep and published by BRILL. This book was released on 1996 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Banach Tarski Paradox written by Grzegorz Tomkowicz and published by Cambridge University Press. This book was released on 2016-06-14 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Banach-Tarski Paradox seems patently false. The authors explain it and its implications in terms appropriate for an undergraduate.
Download or read book That s Maths written by Peter Lynch and published by Gill & Macmillan Ltd. This book was released on 2016-10-14 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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!
Download or read book Famous Problems of Elementary Geometry written by Felix Klein and published by Cosimo, Inc.. This book was released on 2007-05-01 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This short book, first published in 1897, addresses three geometry puzzles that have been passed down from ancient times. Written for high school students, this book aims to show a younger audience why math should matter and to make the problems found in math intriguing. Klein presents for his readers an investigation of the possibility or impossibility of finding solutions for the following problems in light of mathematics available to him: duplication of the cube trisection of an angle quadrature of the circle Mathematicians and students of the history of math will find this an intriguing work. German mathematician FELIX KLEIN (1849 1925), a great teacher and scientific thinker, significantly advanced the field of mathematical physics and made a number of profound discoveries in the field of geometry. His published works include Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis and Elementary Mathematics from an Advanced Standpoint: Geometry."
Download or read book The Squaring of the Circle written by Hermann Schubert and published by . This book was released on 1891 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Book of Curves written by Edward Harrington Lockwood and published by Cambridge University Press. This book was released on 1967 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the drawing of plane curves, cycloidal curves, spirals, glissettes and others.
Download or read book A Beginner s Guide to Constructing the Universe written by Michael S. Schneider and published by Harper Collins. This book was released on 2014-04-01 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us. But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe, Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals. Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance. This book is an education in the world and everything we can't see within it. Contains numerous b&w photos and illustrations.
Download or read book Squaring the Circle written by P.R. Kumaraswamy and published by Routledge. This book was released on 2020-04-13 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: The centrality of the book is Gandhi's disposition and orientation towards the idea of Jewish homeland. When it comes to Jews, Jewish nationalism and their aspirations in Palestine, even Mahatma Gandhi was not infallible. His abiding empathy for the Jews was negated by his limited understanding of Judaism and Jewish history. His perception of the Palestine issue and his support for the Arabs was rooted in the domestic Indian context. The conventional understanding that Gandhi was ‘consistently’ opposed to Zionism and the Jewish aspirations for a national home in Palestine does not correspond with his later remarks. While demanding Jewish non-violence both against Hitler and in Palestine, Mahatma was prepared to understand, the ‘excesses’ of the Arabs who were facing ‘overwhelming odds.’ His position on the domestic situation largely influenced his stand viz-à-viz Palestine and hence his demand for Jews to abandon their collaboration with imperialism and follow the path of negotiation should be read within the Indian context. So long as India pursued a recognition-without-relations policy toward Israel, one could rest on Gandhi’s shoulders and adopt a self-righteous attitude. However, can one rely on the Gandhian paradigm to explain India’s new-found bonhomie toward Israel without sounding selective, hypocritical or both? The primary focus of this book is the explication of political constraints and oversensitivity towards the religious minority for political gains, which shaped Gandhi's notion about the Jewish homeland. The author has conducted an empirical survey of the political, religious and strategic constraints behind Gandhi's idea of the Jewish homeland that in common parlance is seen as an ardent disapproval of Zionism by Gandhi. Please note: This title is co-published with KW Publishers, New Delhi. Taylor & Francis does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka
