Symbols, impossible numbers, and geometric entanglements: British algebra through the commentaries on Newton's Universal arithmetic
Symbols, Impossible Numbers, and Geometric Entanglements is the first history of the development and reception of algebra in early modern England and Scotland. Not primarily a technical history, this book analyzes the struggles of a dozen British thinkers to come to terms with early modern algebra,...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
1997
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| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | Symbols, Impossible Numbers, and Geometric Entanglements is the first history of the development and reception of algebra in early modern England and Scotland. Not primarily a technical history, this book analyzes the struggles of a dozen British thinkers to come to terms with early modern algebra, its symbolical style, and negative and imaginary numbers. Professor Pycior uncovers these thinkers as a "testgroup" for the symbolic reasoning that would radically change not only mathematics but also logic, philosophy, and language studies. The book furthermore shows how pedagogical and religious concerns shaped the British debate over the relative merits of algebra and geometry. The first book to position algebra firmly in the Scientific Revolution and pursue Newton the algebraist, it highlights Newton's role in completing the evolution of algebra from an esoteric subject into a major focus of British mathematics. Other thinkers covered include Oughtred, Harriot, Wallis, Hobbes, Barrow, Berkeley, and MacLaurin. |
| Beschreibung: | XI, 328 S. |
| ISBN: | 0521481244 |
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| adam_text | SYMBOLS, IMPOSSIBLE NUMBERS, AND GEOMETRIC ENTANGLEMENTS BRITISH ALGEBRA
THROUGH THE COMMENTARIES ON NEWTON S UNIVERSAL ARITHMETICK HELENA M.
PYCIOR UNIVERSITY OF WISCONSIN, MILWAUKEE HI CAMBRIDGE » UNIVERSITY
PRESS CONTENTS ACKNOWLEDGMENTS PAGE IX INTRODUCTION I 1 SETTING THE
SCENE: THE FOUNDATIONS OF EARLY MODERN ALGEBRA 10 2 WILLIAM OUGHTRED AND
THOMAS HARRIOT: INCITING, ASSISTING, AND INSTRUCTING OTHERS IN THE
ANALYTIC ART 40 3 JOHN COLLINS S CAMPAIGN FOR A CURRENT ENGLISH ALGEBRA
TEXTBOOK: THE 1660S AND 1670S 70 4 JOHN PELL S ENGLISH EDITION OF RAHN S
ALGEBRA AND JOHN KERSEY S A IGEBRA 88 5 THE ARITHMETIC FORMULATION OF
ALGEBRA IN JOHN WALLIS S TREATISE OF ALGEBRA 103 6 ENGLISH MATHEMATICAL
THINKERS TAKE SIDES ON EARLY MODERN ALGEBRA: THOMAS HOBBES AND ISAAC
BARROW AGAINST JOHN WALLIS 135 7 THE MIXED MATHEMATICAL LEGACY OF
NEWTON S UNIVERSAL ARITHMETICK 167 8 GEORGE BERKELEY AT THE INTERSECTION
OF ALGEBRA AND PHILOSOPHY 209 9 THE SCOTTISH RESPONSE TO NEWTONIAN
ALGEBRA 242 10 ALGEBRA CONSIDERED AS THE LOGICAL INSTITUTES OF THE
MATHEMATICIAN : NICHOLAS SAUNDERSON S ELEMENTS OF ALGEBRA 276 EPILOGUE
307 INDEX 317
|
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| dewey-full | 512.0094109032 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
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| era | Geschichte 1700-1800 Geschichte 1600-1700 Geschichte 1650-1750 gnd |
| era_facet | Geschichte 1700-1800 Geschichte 1600-1700 Geschichte 1650-1750 |
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| spelling | Pycior, Helena M. Verfasser aut Symbols, impossible numbers, and geometric entanglements British algebra through the commentaries on Newton's Universal arithmetic Helena M. Pycior 1. publ. Cambridge [u.a.] Cambridge Univ. Press 1997 XI, 328 S. txt rdacontent n rdamedia nc rdacarrier Symbols, Impossible Numbers, and Geometric Entanglements is the first history of the development and reception of algebra in early modern England and Scotland. Not primarily a technical history, this book analyzes the struggles of a dozen British thinkers to come to terms with early modern algebra, its symbolical style, and negative and imaginary numbers. Professor Pycior uncovers these thinkers as a "testgroup" for the symbolic reasoning that would radically change not only mathematics but also logic, philosophy, and language studies. The book furthermore shows how pedagogical and religious concerns shaped the British debate over the relative merits of algebra and geometry. The first book to position algebra firmly in the Scientific Revolution and pursue Newton the algebraist, it highlights Newton's role in completing the evolution of algebra from an esoteric subject into a major focus of British mathematics. Other thinkers covered include Oughtred, Harriot, Wallis, Hobbes, Barrow, Berkeley, and MacLaurin. Newton, Isaac <Sir, 1642-1727> Arithmetica universalis Geschichte 1700-1800 Geschichte 1600-1700 Geschichte 1650-1750 gnd rswk-swf Algebra gtt Geschichte Algebra Great Britain History 17th century Algebra Great Britain History 18th century Algebra (DE-588)4001156-2 gnd rswk-swf Großbritannien Großbritannien (DE-588)4022153-2 gnd rswk-swf Großbritannien (DE-588)4022153-2 g Algebra (DE-588)4001156-2 s Geschichte 1650-1750 z DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007746327&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pycior, Helena M. Symbols, impossible numbers, and geometric entanglements British algebra through the commentaries on Newton's Universal arithmetic Newton, Isaac <Sir, 1642-1727> Arithmetica universalis Algebra gtt Geschichte Algebra Great Britain History 17th century Algebra Great Britain History 18th century Algebra (DE-588)4001156-2 gnd |
| subject_GND | (DE-588)4001156-2 (DE-588)4022153-2 |
| title | Symbols, impossible numbers, and geometric entanglements British algebra through the commentaries on Newton's Universal arithmetic |
| title_auth | Symbols, impossible numbers, and geometric entanglements British algebra through the commentaries on Newton's Universal arithmetic |
| title_exact_search | Symbols, impossible numbers, and geometric entanglements British algebra through the commentaries on Newton's Universal arithmetic |
| title_full | Symbols, impossible numbers, and geometric entanglements British algebra through the commentaries on Newton's Universal arithmetic Helena M. Pycior |
| title_fullStr | Symbols, impossible numbers, and geometric entanglements British algebra through the commentaries on Newton's Universal arithmetic Helena M. Pycior |
| title_full_unstemmed | Symbols, impossible numbers, and geometric entanglements British algebra through the commentaries on Newton's Universal arithmetic Helena M. Pycior |
| title_short | Symbols, impossible numbers, and geometric entanglements |
| title_sort | symbols impossible numbers and geometric entanglements british algebra through the commentaries on newton s universal arithmetic |
| title_sub | British algebra through the commentaries on Newton's Universal arithmetic |
| topic | Newton, Isaac <Sir, 1642-1727> Arithmetica universalis Algebra gtt Geschichte Algebra Great Britain History 17th century Algebra Great Britain History 18th century Algebra (DE-588)4001156-2 gnd |
| topic_facet | Newton, Isaac <Sir, 1642-1727> Arithmetica universalis Algebra Geschichte Algebra Great Britain History 17th century Algebra Great Britain History 18th century Großbritannien |
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