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Author : Domenico Angherà
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.0/5 (25 download)
Download or read book Quadrature of the Circle. A problem geometrically demonstrated written by Domenico Angherà and published by . This book was released on 1858 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Smith
Publisher :
ISBN 13 :
Total Pages : 634 pages
Book Rating : 4.R/5 (5 download)
Download or read book The ratio between diameter and circumference in a circle demonstrated by angles, and Euclid's theorem, proposition 32, book 1, proved to be fallacious written by James Smith and published by . This book was released on 1870 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wilbur Richard Knorr
Publisher : Courier Corporation
ISBN 13 : 0486675327
Total Pages : 419 pages
Book Rating : 4.4/5 (866 download)
Download or read book The Ancient Tradition of Geometric Problems written by Wilbur Richard Knorr and published by Courier Corporation. This book was released on 1993-01-01 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Illustrated study focuses on attempts by ancient Greeks to solve three classical problems: cube duplication, angle trisection, and circle quadrature. Origins of the study of conics, introduction of special mechanical curves, more. 1986 edition.
Author : Douglas M. Jesseph
Publisher : University of Chicago Press
ISBN 13 : 9780226398990
Total Pages : 448 pages
Book Rating : 4.3/5 (989 download)
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.
Author : Walter William Rouse Ball
Publisher :
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Recreations and Problems of Past and Present Times written by Walter William Rouse Ball and published by . This book was released on 1892 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Henk J.M. Bos
Publisher : Springer Science & Business Media
ISBN 13 : 1461300878
Total Pages : 472 pages
Book Rating : 4.4/5 (613 download)
Download or read book Redefining Geometrical Exactness written by Henk J.M. Bos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: In his "Géométrie" of 1637 Descartes achieved a monumental innovation of mathematical techniques by introducing what is now called analytic geometry. Yet the key question of the book was foundational rather than technical: When are geometrical objects known with such clarity and distinctness as befits the exact science of geometry? Classically, the answer was sought in procedures of geometrical construction, in particular by ruler and compass, but the introduction of new algebraic techniques made these procedures insufficient. In this detailed study, spanning essentially the period from the first printed edition of Pappus' "Collection" (1588, in Latin translation) and Descartes' death in 1650, Bos explores the current ideas about construction and geometrical exactness, noting that by the time Descartes entered the field the incursion of algebraic techniques, combined with an increasing uncertainty about the proper means of geometrical problem solving, had produced a certain impasse. He then analyses how Descartes transformed geometry by a redefinition of exactness and by a demarcation of geometry's proper subject and procedures in such a way as to incorporate the use of algebraic methods without destroying the true nature of geometry. Although mathematicians later essentially discarded Descartes' methodological convictions, his influence was profound and pervasive. Bos' insistence on the foundational aspects of the "Géométrie" provides new insights both in the genesis of Descartes' masterpiece and in its significance for the development of the conceptions of mathematical exactness.
Author : Davide Crippa
Publisher : Springer
ISBN 13 : 3030016382
Total Pages : 189 pages
Book Rating : 4.0/5 (3 download)
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.
Author : Hugh Chisholm
Publisher :
ISBN 13 :
Total Pages : 1040 pages
Book Rating : 4.X/5 (3 download)
Download or read book The Encyclopædia Britannica written by Hugh Chisholm and published by . This book was released on 1910 with total page 1040 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1036 pages
Book Rating : 4.A/5 ( download)
Download or read book The Encyclopaedia Britannica: Cal to Con written by and published by . This book was released on 1910 with total page 1036 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert L. Brabenec
Publisher : Cambridge University Press
ISBN 13 : 9780883857373
Total Pages : 256 pages
Book Rating : 4.8/5 (573 download)
Download or read book Resources for the Study of Real Analysis written by Robert L. Brabenec and published by Cambridge University Press. This book was released on 2004 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of materials gathered by the author while teaching real analysis over a period of years.
Author :
Publisher :
ISBN 13 :
Total Pages : 1038 pages
Book Rating : 4.3/5 (7 download)
Download or read book The Encyclopaedia Britannica written by and published by . This book was released on 1910 with total page 1038 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Arp
Publisher : Simon and Schuster
ISBN 13 : 1667201743
Total Pages : 960 pages
Book Rating : 4.6/5 (672 download)
Download or read book 1001 Ideas That Changed the Way We Think written by Robert Arp and published by Simon and Schuster. This book was released on 2022-06-07 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trace the progress of humanity—from prehistoric times to the present day—through 1,001 ideas that changed how we connect to each other and the world around us. From the ability to control fire to augmented reality, the power of humanity’s ideas has revolutionized how we live and experience the world around us. 1001 Ideas That Changed the Way We Think looks at the innovations and concepts that have played a key role in our progress since before recorded history. Covering a wide range of topics—from political and religious ideas to modern innovations such as social media and clean energy—this captivating volume offers a comprehensive look at how human ideas have evolved over the millennia.
Author : Dr. Navneet Kumar Lamba
Publisher : RK Publication
ISBN 13 : 9348020870
Total Pages : 286 pages
Book Rating : 4.3/5 (48 download)
Download or read book Contemporary Abstract Algebra written by Dr. Navneet Kumar Lamba and published by RK Publication. This book was released on 2024-07-29 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contemporary Abstract Algebra, readers are invited to explore the foundational principles and structures that define modern abstract algebra, from groups and rings to fields and Galois theory. This book aims to balance rigorous mathematical theory with clarity and accessibility, making it suitable for both newcomers and advanced students. With historical insights, practical applications, and thought-provoking exercises, it is crafted to deepen understanding and appreciation of algebra's role in mathematics. This text offers a guided journey through abstract algebra, designed to spark curiosity and mastery in this dynamic field.
Author :
Publisher :
ISBN 13 :
Total Pages : 1042 pages
Book Rating : 4.0/5 ( download)
Download or read book Encyclopaedia Britannica written by and published by . This book was released on 1860 with total page 1042 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1048 pages
Book Rating : 4.B/5 (1 download)
Download or read book The Encyclopaedia Britannica, Or Dictionary of Arts, Sciences, and General Literature written by and published by . This book was released on 1860 with total page 1048 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas Stewart Traill
Publisher :
ISBN 13 :
Total Pages : 1042 pages
Book Rating : 4.:/5 (26 download)
Download or read book The Encyclopaedia Britannica written by Thomas Stewart Traill and published by . This book was released on 1860 with total page 1042 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1050 pages
Book Rating : 4.A/5 ( download)
Download or read book The Encyclopædia Britannica, Or, Dictionary of Arts, Sciences, and General Literature, with Extensive Improvements and Additions, and Numerous Engravings written by and published by . This book was released on 1860 with total page 1050 pages. Available in PDF, EPUB and Kindle. Book excerpt:
