Symbols, impossible numbers, and geometric entanglements: British algebra through the commentaries on Newton's Universal arithmetick
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 analyses the struggles of a dozen British thinkers to come to terms with early modern algebra,...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1997
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| 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 analyses the struggles of a dozen British thinkers to come to terms with early modern algebra, its symbolic style, and negative and imaginary numbers. Professor Pycior uncovers these thinkers as a 'test-group' 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. Positioning 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: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xi, 328 pages) |
| ISBN: | 9780511895470 |
| DOI: | 10.1017/CBO9780511895470 |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Pycior, Helena M. 1947- |
| author_facet | Pycior, Helena M. 1947- |
| author_role | aut |
| author_sort | Pycior, Helena M. 1947- |
| author_variant | h m p hm hmp |
| building | Verbundindex |
| bvnumber | BV043945571 |
| classification_rvk | SG 590 |
| collection | ZDB-20-CBO |
| contents | Setting the Scene: The Foundations of Early Modern Algebra William Oughtred and Thomas Harriot: "Inciting, Assisting, and Instructing Others" in the Analytic Art John Collins's Campaign for a Current English Algebra Textbook: The 1660s and 1670s John Pell's English Edition of Rahn's Algebra and John Kersey's Algebra The Arithmetic Formulation of Algebra in John Wallis's Treatise of Algebra English Mathematical Thinkers Take Sides on Early Modern Algebra: Thomas Hobbes and Isaac Barrow against John Wallis The Mixed Mathematical Legacy of Newton's Universal Arithmetick George Berkeley at the Intersection of Algebra and Philosophy The Scottish Response to Newtonian Algebra |
| ctrlnum | (ZDB-20-CBO)CR9780511895470 (OCoLC)859642220 (DE-599)BVBBV043945571 |
| dewey-full | 512/.00941/09032 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.00941/09032 |
| dewey-search | 512/.00941/09032 |
| dewey-sort | 3512 3941 49032 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511895470 |
| era | Geschichte 1700-1800 Geschichte 1600-1700 Geschichte 1650-1750 gnd |
| era_facet | Geschichte 1700-1800 Geschichte 1600-1700 Geschichte 1650-1750 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:24Z |
| institution | BVB |
| isbn | 9780511895470 |
| language | English |
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| spelling | Pycior, Helena M. 1947- Verfasser aut Symbols, impossible numbers, and geometric entanglements British algebra through the commentaries on Newton's Universal arithmetick Helena M. Pycior Symbols, Impossible Numbers, & Geometric Entanglements Cambridge Cambridge University Press 1997 1 online resource (xi, 328 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1 Setting the Scene: The Foundations of Early Modern Algebra 2 William Oughtred and Thomas Harriot: "Inciting, Assisting, and Instructing Others" in the Analytic Art 3 John Collins's Campaign for a Current English Algebra Textbook: The 1660s and 1670s 4 John Pell's English Edition of Rahn's Algebra and John Kersey's Algebra 5 The Arithmetic Formulation of Algebra in John Wallis's Treatise of Algebra 6 English Mathematical Thinkers Take Sides on Early Modern Algebra: Thomas Hobbes and Isaac Barrow against John Wallis 7 The Mixed Mathematical Legacy of Newton's Universal Arithmetick 8 George Berkeley at the Intersection of Algebra and Philosophy 9 The Scottish Response to Newtonian Algebra 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 analyses the struggles of a dozen British thinkers to come to terms with early modern algebra, its symbolic style, and negative and imaginary numbers. Professor Pycior uncovers these thinkers as a 'test-group' 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. Positioning 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 / 1642-1727 / Arithmetica universalis Geschichte 1700-1800 Geschichte 1600-1700 Geschichte 1650-1750 gnd rswk-swf 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 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-02740-3 Erscheint auch als Druckausgabe 978-0-521-48124-3 https://doi.org/10.1017/CBO9780511895470 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Pycior, Helena M. 1947- Symbols, impossible numbers, and geometric entanglements British algebra through the commentaries on Newton's Universal arithmetick Setting the Scene: The Foundations of Early Modern Algebra William Oughtred and Thomas Harriot: "Inciting, Assisting, and Instructing Others" in the Analytic Art John Collins's Campaign for a Current English Algebra Textbook: The 1660s and 1670s John Pell's English Edition of Rahn's Algebra and John Kersey's Algebra The Arithmetic Formulation of Algebra in John Wallis's Treatise of Algebra English Mathematical Thinkers Take Sides on Early Modern Algebra: Thomas Hobbes and Isaac Barrow against John Wallis The Mixed Mathematical Legacy of Newton's Universal Arithmetick George Berkeley at the Intersection of Algebra and Philosophy The Scottish Response to Newtonian Algebra Newton, Isaac / 1642-1727 / Arithmetica universalis 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 arithmetick |
| title_alt | Symbols, Impossible Numbers, & Geometric Entanglements Setting the Scene: The Foundations of Early Modern Algebra William Oughtred and Thomas Harriot: "Inciting, Assisting, and Instructing Others" in the Analytic Art John Collins's Campaign for a Current English Algebra Textbook: The 1660s and 1670s John Pell's English Edition of Rahn's Algebra and John Kersey's Algebra The Arithmetic Formulation of Algebra in John Wallis's Treatise of Algebra English Mathematical Thinkers Take Sides on Early Modern Algebra: Thomas Hobbes and Isaac Barrow against John Wallis The Mixed Mathematical Legacy of Newton's Universal Arithmetick George Berkeley at the Intersection of Algebra and Philosophy The Scottish Response to Newtonian Algebra |
| title_auth | Symbols, impossible numbers, and geometric entanglements British algebra through the commentaries on Newton's Universal arithmetick |
| title_exact_search | Symbols, impossible numbers, and geometric entanglements British algebra through the commentaries on Newton's Universal arithmetick |
| title_full | Symbols, impossible numbers, and geometric entanglements British algebra through the commentaries on Newton's Universal arithmetick Helena M. Pycior |
| title_fullStr | Symbols, impossible numbers, and geometric entanglements British algebra through the commentaries on Newton's Universal arithmetick Helena M. Pycior |
| title_full_unstemmed | Symbols, impossible numbers, and geometric entanglements British algebra through the commentaries on Newton's Universal arithmetick 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 arithmetick |
| title_sub | British algebra through the commentaries on Newton's Universal arithmetick |
| topic | Newton, Isaac / 1642-1727 / Arithmetica universalis Geschichte Algebra / Great Britain / History / 17th century Algebra / Great Britain / History / 18th century Algebra (DE-588)4001156-2 gnd |
| topic_facet | Newton, Isaac / 1642-1727 / Arithmetica universalis Geschichte Algebra / Great Britain / History / 17th century Algebra / Great Britain / History / 18th century Algebra Großbritannien |
| url | https://doi.org/10.1017/CBO9780511895470 |
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