The tangled origins of the Leibnizian calculus: a case study of a mathematical revolution
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
2012
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references and index 1. Evolution or revolution in mathematics -- 2. Issues in seventeenth century mathematics -- 3. Isaac Barrow: a foil to Leibniz -- 4. A young central European polymath -- 5. First steps in mathematics -- 6. The creation of calculus -- 7. Logic -- 8. The universal characteristic -- 9. The Baroque cultural context -- 10. Epilogue -- 11. Some concluding remarks on mathematical change This book is a detailed study of Gottfried Wilhelm Leibniz's creation of calculus from 1673 to the 1680s. We examine and analyze the mathematics in several of his early manuscripts as well as various articles published in the Acta Eruditorum. It studies some of the other lesser known "calculi" Leibniz created such as the Analysis Situs, delves into aspects of his logic, and gives an overview of his efforts to construct a Universal Characteristic, a goal that has its distant origin in the Ars Magna of the 13th century Catalan philosopher Raymond Llull, whose work enjoyed a renewed popularity in the century and a half prior to Leibniz. This book also touches upon a new look at the priority controversy with Newton and a Kuhnian interpretation of the nature of mathematical change. This book may be the only integrated treatment based on recent research and should be a thought-provoking contribution to the history of mathematics for scholars and students, interested in either Leibniz's mathematical achievement or general issues in the field |
| Beschreibung: | 1 Online-Ressource (xxi, 310 p. :) |
| ISBN: | 9789814390798 9789814390804 9814390798 9814390801 |
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| 500 | |a This book is a detailed study of Gottfried Wilhelm Leibniz's creation of calculus from 1673 to the 1680s. We examine and analyze the mathematics in several of his early manuscripts as well as various articles published in the Acta Eruditorum. It studies some of the other lesser known "calculi" Leibniz created such as the Analysis Situs, delves into aspects of his logic, and gives an overview of his efforts to construct a Universal Characteristic, a goal that has its distant origin in the Ars Magna of the 13th century Catalan philosopher Raymond Llull, whose work enjoyed a renewed popularity in the century and a half prior to Leibniz. This book also touches upon a new look at the priority controversy with Newton and a Kuhnian interpretation of the nature of mathematical change. This book may be the only integrated treatment based on recent research and should be a thought-provoking contribution to the history of mathematics for scholars and students, interested in either Leibniz's mathematical achievement or general issues in the field | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Brown, Richard C. |
| author_facet | Brown, Richard C. |
| author_role | aut |
| author_sort | Brown, Richard C. |
| author_variant | r c b rc rcb |
| building | Verbundindex |
| bvnumber | BV043157628 |
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| ctrlnum | (OCoLC)797852148 (DE-599)BVBBV043157628 |
| dewey-full | 515.09 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.09 |
| dewey-search | 515.09 |
| dewey-sort | 3515.09 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| era | Geschichte 1673-1690 gnd |
| era_facet | Geschichte 1673-1690 |
| format | Electronic eBook |
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| id | DE-604.BV043157628 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:19:15Z |
| institution | BVB |
| isbn | 9789814390798 9789814390804 9814390798 9814390801 |
| language | English |
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| physical | 1 Online-Ressource (xxi, 310 p. :) |
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| publishDate | 2012 |
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| publisher | World Scientific Pub. Co. |
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| spelling | Brown, Richard C. Verfasser aut The tangled origins of the Leibnizian calculus a case study of a mathematical revolution Richard C. Brown Singapore World Scientific Pub. Co. 2012 1 Online-Ressource (xxi, 310 p. :) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index 1. Evolution or revolution in mathematics -- 2. Issues in seventeenth century mathematics -- 3. Isaac Barrow: a foil to Leibniz -- 4. A young central European polymath -- 5. First steps in mathematics -- 6. The creation of calculus -- 7. Logic -- 8. The universal characteristic -- 9. The Baroque cultural context -- 10. Epilogue -- 11. Some concluding remarks on mathematical change This book is a detailed study of Gottfried Wilhelm Leibniz's creation of calculus from 1673 to the 1680s. We examine and analyze the mathematics in several of his early manuscripts as well as various articles published in the Acta Eruditorum. It studies some of the other lesser known "calculi" Leibniz created such as the Analysis Situs, delves into aspects of his logic, and gives an overview of his efforts to construct a Universal Characteristic, a goal that has its distant origin in the Ars Magna of the 13th century Catalan philosopher Raymond Llull, whose work enjoyed a renewed popularity in the century and a half prior to Leibniz. This book also touches upon a new look at the priority controversy with Newton and a Kuhnian interpretation of the nature of mathematical change. This book may be the only integrated treatment based on recent research and should be a thought-provoking contribution to the history of mathematics for scholars and students, interested in either Leibniz's mathematical achievement or general issues in the field Leibniz, Gottfried Wilhelm 1646-1716 (DE-588)118571249 gnd rswk-swf Geschichte 1673-1690 gnd rswk-swf MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Calculus Infinitesimalrechnung (DE-588)4072798-1 gnd rswk-swf Entwicklung (DE-588)4113450-3 gnd rswk-swf Leibniz, Gottfried Wilhelm 1646-1716 (DE-588)118571249 p Infinitesimalrechnung (DE-588)4072798-1 s Entwicklung (DE-588)4113450-3 s Geschichte 1673-1690 z 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=457233 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Brown, Richard C. The tangled origins of the Leibnizian calculus a case study of a mathematical revolution Leibniz, Gottfried Wilhelm 1646-1716 (DE-588)118571249 gnd MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Calculus Infinitesimalrechnung (DE-588)4072798-1 gnd Entwicklung (DE-588)4113450-3 gnd |
| subject_GND | (DE-588)118571249 (DE-588)4072798-1 (DE-588)4113450-3 |
| title | The tangled origins of the Leibnizian calculus a case study of a mathematical revolution |
| title_auth | The tangled origins of the Leibnizian calculus a case study of a mathematical revolution |
| title_exact_search | The tangled origins of the Leibnizian calculus a case study of a mathematical revolution |
| title_full | The tangled origins of the Leibnizian calculus a case study of a mathematical revolution Richard C. Brown |
| title_fullStr | The tangled origins of the Leibnizian calculus a case study of a mathematical revolution Richard C. Brown |
| title_full_unstemmed | The tangled origins of the Leibnizian calculus a case study of a mathematical revolution Richard C. Brown |
| title_short | The tangled origins of the Leibnizian calculus |
| title_sort | the tangled origins of the leibnizian calculus a case study of a mathematical revolution |
| title_sub | a case study of a mathematical revolution |
| topic | Leibniz, Gottfried Wilhelm 1646-1716 (DE-588)118571249 gnd MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Calculus Infinitesimalrechnung (DE-588)4072798-1 gnd Entwicklung (DE-588)4113450-3 gnd |
| topic_facet | Leibniz, Gottfried Wilhelm 1646-1716 MATHEMATICS / Calculus MATHEMATICS / Mathematical Analysis Calculus Infinitesimalrechnung Entwicklung |
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