The tangled origins of the Leibnizian calculus: a case study of a mathematical revolution
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 "calc...
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Format: | Elektronisch E-Book |
Sprache: | Englisch |
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Singapore
World Scientific Pub. Co.
c2012
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Links: | http://www.worldscientific.com/worldscibooks/10.1142/8413#t=toc http://www.worldscientific.com/worldscibooks/10.1142/8413#t=toc |
Zusammenfassung: | 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 |
Umfang: | xxi, 310 p. ill |
ISBN: | 9789814390804 |
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institution | BVB |
isbn | 9789814390804 |
language | English |
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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. c2012 xxi, 310 p. ill txt rdacontent c rdamedia cr rdacarrier 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 / Freiherr von / 1646-1716 Leibniz, Gottfried Wilhelm 1646-1716 (DE-588)118571249 gnd rswk-swf Geschichte 1673-1690 gnd rswk-swf Calculus / History Mathematics / History Calculus Entwicklung (DE-588)4113450-3 gnd rswk-swf Infinitesimalrechnung (DE-588)4072798-1 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 Erscheint auch als Druck-Ausgabe 9789814390798 Erscheint auch als Druck-Ausgabe 9814390798 http://www.worldscientific.com/worldscibooks/10.1142/8413#t=toc Verlag URL des Erstveroeffentlichers 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 / Freiherr von / 1646-1716 Leibniz, Gottfried Wilhelm 1646-1716 (DE-588)118571249 gnd Calculus / History Mathematics / History Calculus Entwicklung (DE-588)4113450-3 gnd Infinitesimalrechnung (DE-588)4072798-1 gnd |
subject_GND | (DE-588)118571249 (DE-588)4113450-3 (DE-588)4072798-1 |
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 / Freiherr von / 1646-1716 Leibniz, Gottfried Wilhelm 1646-1716 (DE-588)118571249 gnd Calculus / History Mathematics / History Calculus Entwicklung (DE-588)4113450-3 gnd Infinitesimalrechnung (DE-588)4072798-1 gnd |
topic_facet | Leibniz, Gottfried Wilhelm / Freiherr von / 1646-1716 Leibniz, Gottfried Wilhelm 1646-1716 Calculus / History Mathematics / History Calculus Entwicklung Infinitesimalrechnung |
url | http://www.worldscientific.com/worldscibooks/10.1142/8413#t=toc |
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