The Greate Invention of Algebra: Thomas Harriot's Treatise on Equations (Mathematics)

The Great Invention of Algebra provides an insight into the work of Thomas Harriot, an innovative thinker and practitioner in several branches of the mathematical sciences, including navigation, astronomy, optics, geometry and algebra. This book focuses on one hundred and forty of these manuscript pages and concentrates on Harriot's work on the structure and solution of equations. MuPDF error: syntax error: invalid key in dict MuPDF error: syntax error: invalid key in dict MuPDF error: syntax error: invalid key in dict MuPDF error: syntax error: invalid key in dict MuPDF error: syntax error: invalid key in dict MuPDF error: syntax error: invalid key in dict MuPDF error: syntax error: invalid key in dict MuPDF error: syntax error: invalid key in dict MuPDF error: syntax error: invalid key in dict Contents 10 Illustrations 12 INTRODUCTION 14 I. The Treatise on equations 16 Harriot, Torporley and Viète 16 Harriot’s notation 20 The Operations of arithmetic in letters 21 The Treatise on equations 24 II. Harriot’s algebra after 1621 30 The Praxis 33 The Corrector 35 The Summary 37 III. Harriot’s reputation and influence 39 TREATISE ON EQUATIONS 48 Operations of arithmetic in letters 52 Treatise on equations 58 Section (a): On solving equations in numbers 58 Section (b): On solving equations in numbers 78 Section (c): On solving equations in numbers 100 Section (d ): On the generation of canonical equations 138 Section (e): On solving equations by reduction 188 Section ( f ): On solving equations by reduction 252 APPENDIX 302 Correlations between Harriot’s manuscripts and the texts of Viète, Warner and Torporley 304 Notes 314 Bibliographies 328 Index 334 A 334 B 334 C 334 D 334 E 334 F 334 G 334 H 334 I 334 L 334 M 334 N 334 O 334 P 334 R 335 S 335 T 335 V 335 W 335 Z 335 "The Greate Invention of Algebra casts new light on the work of Thomas Harriot (c.1560-1621), an innovative thinker and practitioner in several branches of the mathematical sciences, including navigation, astronomy, optics, geometry, and algebra. Although on his death Harriot left behind over four thousand manuscript sheets, much of his work remains unpublished." "This book focuses on one hundred and forty of Harriot's manuscript pages, those concerned with the structure and solution of equations. The original material has been carefully ordered, translated, and annotated to provide the first complete edition of his work on this subject, and an extended introduction provides the reader with a lucid background to the work and explains its contents. Illustrations from the manuscripts provide fascinating reference material. The appendix discusses for correlations between Harriot's manuscripts and the texts of his contemporaries Viete, Warner, and Torporley." "The clear and concise exposition makes this an excellent reference volume for historians of mathematics and those interested in the history of science. This is an important new resource for understanding the development of algebra in seventeenth-century England."--Jacket. 'The Greate Invention of Algebra' casts new light on the work of Thomas Harriot (c.1560-1621), an innovative thinker and practitioner in several branches of the mathematical sciences, including navigation, astronomy, optics, geometry, and algebra. Although on his death Harriot left behind over four thousand manuscript sheets, much of his work remains unpublished. This book focuses on one hundred and forty of Harriot's manuscript pages, those concerned with the structure and solution of equations. The original material has been carefully ordered, translated, and annotated to provide the first complete edition of his work on this subject, and an extended introduction provides the reader with a lucid background to the work and explains its contents. Illustrations from the manuscripts provide fascinating reference material. The appendix discusses correlations between Harriot's manuscripts and the texts of his contemporaries Viète, Warner, and Torporley. The clear and concise exposition makes this an excellent reference volume for historians of mathematics and those interested in the history of science. This is an important new resource for understanding the development of algebra in seventeenth-century England. The treatise on equations -- Harriot, Torporley and Viète -- Harriot's notation -- The operations of arithmetic in letters -- The Treatise on equations -- Harriot's algebra after 1621 -- The praxis -- The corrector -- The summary -- Harriot's reputation and influence -- Treatise on equations -- Operations of arithmetic in letters -- Treatise on equations -- Section (a): on solving equations in numbers -- Section (b): on solving equations in numbers -- Section (c): on solving equations in numbers -- Section (d): on the generation of canonical equations -- Section (e): on solving equations by reduction -- Section (f): on solving equations by reduction -- Correlations between Harriot's manuscripts and the texts of Viʹete, Warner and Torporley The Great Invention of Algebra provides aninsight into the work of Thomas Harriot, an innovative thinker and oractitioner in several branches of the mathematical sciences, including navigation, astronomy, optics, geometry and algebra. This book focuses on one hundred and forty of these manuscript pages and concentrates on Harriot's work on the structure and solution of equations. This text provides an insight into the work of Thomas Harriot (c.1560-1621), an innovative thinker and practitioner in several branches of the mathematical sciences, including navigation, astronomy, optics, geometry and algebra