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Author : James Smith
Publisher : Unknown
Page : 42 pages
File Size : 40,5 Mb
Release : 1859
Category : Mathematics
ISBN : BL:A0018174899
Author : Douglas M. Jesseph
Publisher : University of Chicago Press
Page : 448 pages
File Size : 54,9 Mb
Release : 1999
Category : Mathematics
ISBN : 0226398994
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 : James Smith
Publisher : Legare Street Press
Page : 0 pages
File Size : 54,8 Mb
Release : 2022-10-27
Category : Electronic
ISBN : 101878814X
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Ernest William Hobson
Publisher : Unknown
Page : 416 pages
File Size : 40,7 Mb
Release : 1953
Category : Mathematics
ISBN : PSU:000004446026
Author : Ernest William Hobson
Publisher : CUP Archive
Page : 76 pages
File Size : 43,9 Mb
Release : 2021-09-09
Category : Mathematics
ISBN : 8210379456XXX
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Davide Crippa
Publisher : Springer
Page : 184 pages
File Size : 49,9 Mb
Release : 2019-03-06
Category : Mathematics
ISBN : 9783030016388
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 : Rufus Fuller
Publisher : Unknown
Page : 90 pages
File Size : 51,9 Mb
Release : 1892
Category : Circle-squaring
ISBN : HARVARD:32044091840546
Author : E. W. Hobson
Publisher : Unknown
Page : 57 pages
File Size : 46,7 Mb
Release : 1969
Category : Electronic
ISBN : OCLC:65813560
Author : June Barrow-Green,Jeremy Gray,Robin Wilson
Publisher : American Mathematical Society
Page : 505 pages
File Size : 50,5 Mb
Release : 2021-12-17
Category : Mathematics
ISBN : 9781470466763
The History of Mathematics: A Source-Based Approach is a comprehensive history of the development of mathematics. This, the first volume of the two-volume set, takes readers from the beginning of counting in prehistory to 1600 and the threshold of the discovery of calculus. It is notable for the extensive engagement with original—primary and secondary—source material. The coverage is worldwide, and embraces developments, including education, in Egypt, Mesopotamia, Greece, China, India, the Islamic world and Europe. The emphasis on astronomy and its historical relationship to mathematics is new, and the presentation of every topic is informed by the most recent scholarship in the field. The two-volume set was designed as a textbook for the authors' acclaimed year-long course at the Open University. It is, in addition to being an innovative and insightful textbook, an invaluable resource for students and scholars of the history of mathematics. The authors, each among the most distinguished mathematical historians in the world, have produced over fifty books and earned scholarly and expository prizes from the major mathematical societies of the English-speaking world.
Author : Ernest William Hobson
Publisher : Unknown
Page : 57 pages
File Size : 41,6 Mb
Release : 1953
Category : Circle-squaring
ISBN : OCLC:426183399
Author : Maj-Britt Mosegaard Hansen
Publisher : Elsevier
Page : 262 pages
File Size : 42,9 Mb
Release : 2008
Category : Foreign Language Study
ISBN : 9780080552934
This book elucidates the nature of the semantics / pragmatics distinction in both synchrony and diachrony and proposes a definition of semantics and pragmatics that is orthogonal to the question of truth-conditionality. A corollary aim of the study is to propose an account of how and why erstwhile pragmatically-determined elements of meaning may, in the course of time, become semanticized.
Author : Douglas M. Jesseph
Publisher : University of Chicago Press
Page : 440 pages
File Size : 55,8 Mb
Release : 1999
Category : Mathematics
ISBN : 0226399001
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 : William P. Berlinghoff,Fernando Q. Gouvêa
Publisher : American Mathematical Soc.
Page : 331 pages
File Size : 50,6 Mb
Release : 2021-04-29
Category : Education
ISBN : 9781470464561
Where did math come from? Who thought up all those algebra symbols, and why? What is the story behind π π? … negative numbers? … the metric system? … quadratic equations? … sine and cosine? … logs? The 30 independent historical sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that is accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch includes Questions and Projects to help you learn more about its topic and to see how the main ideas fit into the bigger picture of history. The 30 short stories are preceded by a 58-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. “What to Read Next” and reading suggestions after each sketch provide starting points for readers who want to learn more. This book is ideal for a broad spectrum of audiences, including students in history of mathematics courses at the late high school or early college level, pre-service and in-service teachers, and anyone who just wants to know a little more about the origins of mathematics.
Author : Daniel J. Cohen
Publisher : JHU Press
Page : 374 pages
File Size : 44,5 Mb
Release : 2007-04-08
Category : Mathematics
ISBN : 9780801891861
This illuminating history explores the complex relationship between mathematics, religious belief, and Victorian culture. Throughout history, application rather than abstraction has been the prominent driving force in mathematics. From the compass and sextant to partial differential equations, mathematical advances were spurred by the desire for better navigation tools, weaponry, and construction methods. But the religious upheaval in Victorian England and the fledgling United States opened the way for the rediscovery of pure mathematics, a tradition rooted in Ancient Greece. In Equations from God, Daniel J. Cohen captures the origins of the rebirth of abstract mathematics in the intellectual quest to rise above common existence and touch the mind of the deity. Using an array of published and private sources, Cohen shows how philosophers and mathematicians seized upon the beautiful simplicity inherent in mathematical laws to reconnect with the divine and traces the route by which the divinely inspired mathematics of the Victorian era begot later secular philosophies.
Author : Patricio Felmer,Erkki Pehkonen,Jeremy Kilpatrick
Publisher : Springer
Page : 402 pages
File Size : 45,6 Mb
Release : 2016-04-29
Category : Education
ISBN : 9783319280233
This book collects recent research on posing and solving mathematical problems. Rather than treating these two crucial aspects of school mathematics as separate areas of study, the authors approach them as a unit where both areas are measured on equal grounds in relation to each other. The contributors are from a vast variety of countries and with a wide range of experience; it includes the work from many of the leading researchers in the area and an important number of young researchers. The book is divided in three parts, one directed to new research perspectives and the other two directed to teachers and students, respectively.