British versions of Book II of Euclid's Elements: geometry, arithmetic, algebra (1550-1750) / Leo Corry.
2022
QA41.7
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Title
British versions of Book II of Euclid's Elements: geometry, arithmetic, algebra (1550-1750) / Leo Corry.
Author
Corry, Leo, 1956-
ISBN
9783031115387 (electronic bk.)
3031115384 (electronic bk.)
9783031115370
3031115376
3031115384 (electronic bk.)
9783031115370
3031115376
Publication Details
Cham : Springer, 2022.
Language
English
Description
1 online resource (79 p.).
Item Number
10.1007/978-3-031-11538-7 doi
Call Number
QA41.7
Dewey Decimal Classification
516.2094109031
Summary
This book discusses the changing conceptions about the relationship between geometry and arithmetic within the Euclidean tradition that developed in the British context of the sixteenth and seventeenth century. Its focus is on Book II of the Elements and the ways in which algebraic symbolism and methods, especially as recently introduced by Francois Viete and his followers, took center stage as mediators between the two realms, and thus offered new avenues to work out that relationship in idiosyncratic ways not found in earlier editions of the Euclidean text. Texts examined include Robert Recorde's Pathway to Knowledge (1551), Henry Billingsleys first English translation of the Elements (1570), Clavis Mathematicae by William Oughtred and Artis Analyticae Praxis by Thomas Harriot (both published in 1631), Isaac Barrows versions of the Elements (1660), and John Wallis Treatise of Algebra (1685), and the English translations of Claude Dechales French Euclidean Elements (1685). This book offers a completely new perspective of the topic and analyzes mostly unexplored material. It will be of interest to historians of mathematics, mathematicians with an interest in history and historians of renaissance science in general.
Bibliography, etc. Note
Incldues bibliographical references.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed September 26, 2022).
Series
SpringerBriefs in history of science and technology.
Available in Other Form
British Versions of Book II of Euclid's Elements: Geometry, Arithmetic, Algebra (1550-1750)
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Table of Contents
Intro
Acknowledgments
Contents
1 Introduction: Euclidean Background
1.1 Book II
1.2 The Early Printed Version of the Elements
1.3 The Rise of Viète's Symbolic Algebra
References
2 The Main Figures: From Recorde to Wallis and Barrow
2.1 Robert Recorde
2.2 Billingsley and Rudd
2.3 Oughtred and Harriot
2.4 Wallis and Barrow
References
3 Some Lesser-Known Figures
3.1 Leeke and Serle
3.2 Dechales Translated into English
3.3 Alingham
3.4 Henry Hill
3.5 Turn of the Eighteenth Century
References
4 Summary and Concluding Remarks
Acknowledgments
Contents
1 Introduction: Euclidean Background
1.1 Book II
1.2 The Early Printed Version of the Elements
1.3 The Rise of Viète's Symbolic Algebra
References
2 The Main Figures: From Recorde to Wallis and Barrow
2.1 Robert Recorde
2.2 Billingsley and Rudd
2.3 Oughtred and Harriot
2.4 Wallis and Barrow
References
3 Some Lesser-Known Figures
3.1 Leeke and Serle
3.2 Dechales Translated into English
3.3 Alingham
3.4 Henry Hill
3.5 Turn of the Eighteenth Century
References
4 Summary and Concluding Remarks