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- Transcendental Curves in the Leibnizian Calculus

- Author : Viktor Blasjo
- Publsiher : Academic Press
- Release : 22 April 2017
- ISBN : 0128132981
- Pages : 282 pages
- Rating : 4/5 from 21 reviews

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Read or download book entitled Transcendental Curves in the Leibnizian Calculus written by Viktor Blasjo which was release on 22 April 2017, this book published by Academic Press. Available in PDF, EPUB and Kindle Format. Book excerpt: Transcendental Curves in the Leibnizian Calculus analyzes the mathematical and philosophical conflict between Euclidean and Cartesian mathematics. For millennia, mathematical meaning and ontology had been anchored in geometrical constructions, as epitomized by Euclid's ruler and compass. As late as 1637, Descartes had placed himself squarely in this tradition when he justified his new technique of identifying curves with equations by means of certain curve-tracing instruments, thereby bringing together the ancient constructive tradition and modern algebraic methods in a satisfying marriage. But rapid advances in the new fields of infinitesimal calculus and mathematical mechanics soon ruined his grand synthesis. Descartes's scheme left out transcendental curves, i.e. curves with no polynomial equation, but in the course of these subsequent developments such curves emerged as indispensable. It was becoming harder and harder to juggle cutting-edge mathematics and ancient conceptions of its foundations at the same time, yet leading mathematicians, such as Leibniz felt compelled to do precisely this. The new mathematics fit more naturally an analytical conception of curves than a construction-based one, yet no one wanted to betray the latter, as this was seen as virtually tantamount to stop doing mathematics altogether. The credibility and authority of mathematics depended on it. Brings to light this underlying and often implicit complex of concerns that permeate early calculus Evaluates the technical conception and mathematical construction of the geometrical method Reveals a previously unrecognized Liebnizian programmatic cohesion in early calculus Provides a beautifully written work of outstanding original scholarship

- Author : Viktor Blasjo
- Publisher : Academic Press
- Release Date : 2017-04-22
- Total pages : 282
- ISBN : 0128132981

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**Summary :** Transcendental Curves in the Leibnizian Calculus analyzes the mathematical and philosophical conflict between Euclidean and Cartesian mathematics. For millennia, mathematical meaning and ontology had been anchored in geometrical constructions, as epitomized by Euclid's ruler and compass. As late as 1637, Descartes had placed himself squarely in this tradition when he justified ...

- Author : Maria Rosa Antognazza
- Publisher : Oxford University Press, USA
- Release Date : 2018-11
- Total pages : 824
- ISBN : 0128132981

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**Summary :** "This handbook is currently in development, with individual articles publishing online in advance of print publication. At this time, we cannot add information about unpublished articles in this handbook, however the table of contents will continue to grow as additional articles pass through the review process and are added to ...

- Author : Richard C. Brown
- Publisher : World Scientific
- Release Date : 2012
- Total pages : 332
- ISBN : 0128132981

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**Summary :** 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 OC calculiOCO Leibniz ...

- Author : Silvia Mazzone,Clara Silvia Roero
- Publisher : Olschki
- Release Date : 1997
- Total pages : 554
- ISBN : 0128132981

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**Summary :** Download or read online Jacob Hermann and the Diffusion of the Leibnizian Calculus in Italy written by Silvia Mazzone,Clara Silvia Roero, published by Olschki which was released on 1997. Get Jacob Hermann and the Diffusion of the Leibnizian Calculus in Italy Books now! Available in PDF, ePub and Kindle....

- Author : Ursula Goldenbaum,Douglas Jesseph
- Publisher : Walter de Gruyter
- Release Date : 2008-11-03
- Total pages : 633
- ISBN : 0128132981

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**Summary :** The development of the calculus during the 17th century was successful in mathematical practice, but raised questions about the nature of infinitesimals: were they real or rather fictitious? This collection of essays, by scholars from Canada, the US, Germany, Japan and Switzerland, gives a comprehensive study of the controversies over ...

- Author : Margaret E. Baron,H. J. M. Bos
- Publisher : Unknown
- Release Date : 1974
- Total pages : 58
- ISBN : 0128132981

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**Summary :** Download or read online Newton and Leibniz written by Margaret E. Baron,H. J. M. Bos, published by which was released on 1974. Get Newton and Leibniz Books now! Available in PDF, ePub and Kindle....

- Author : Open University
- Publisher : Unknown
- Release Date : 1974
- Total pages : 212
- ISBN : 0128132981

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**Summary :** Download or read online Arts Mathematics Newton and Leibniz written by Open University, published by which was released on 1974. Get Arts Mathematics Newton and Leibniz Books now! Available in PDF, ePub and Kindle....

- Author : Domenico Bertoloni Meli,Gottfried Wilhelm Freiherr von Leibniz,Research Fellow Domenico Bertoloni Meli
- Publisher : Oxford University Press, USA
- Release Date : 1993
- Total pages : 318
- ISBN : 0128132981

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**Summary :** Leibniz's dispute with Newton over the physico-mathematical theories expounded in the Principia Mathematica (1687) have long been identified as a crucial episode in the history of science. Bertolini Meli here examines several hitherto unpublished manuscripts in Leibniz's hand illustrating his first reading of and reaction to Newton's Principia. Six of the ...

- Author : Institute of Mathematics and Its Applications
- Publisher : Unknown
- Release Date : 1985
- Total pages : 212
- ISBN : 0128132981

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**Summary :** Download or read online Bulletin written by Institute of Mathematics and Its Applications, published by which was released on 1985. Get Bulletin Books now! Available in PDF, ePub and Kindle....

- Author : Anonim
- Publisher : Unknown
- Release Date : 2003
- Total pages : 1000
- ISBN : 0128132981

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**Summary :** Download or read online The New Encyclopaedia Britannica Macropaedia Knowledge in depth written by , published by which was released on 2003. Get The New Encyclopaedia Britannica Macropaedia Knowledge in depth Books now! Available in PDF, ePub and Kindle....

- Author : Anonim
- Publisher : Unknown
- Release Date : 1998
- Total pages : 212
- ISBN : 0128132981

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**Summary :** Download or read online The New Encyclopaedia Britannica written by , published by which was released on 1998. Get The New Encyclopaedia Britannica Books now! Available in PDF, ePub and Kindle....

- Author : Kurt von S. Kynell
- Publisher : Unknown
- Release Date : 2003
- Total pages : 313
- ISBN : 0128132981

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**Summary :** This volume attempts to resolve the century old dispute between Newton and Leibniz over the discovery of the calculus, and also explores both the mind and the life long research of Gottfried Wilhelm von Leibniz, documenting his phenomenal mathematical and philosophical research, as well as the apparent nature and possible ...

- Author : Anonim
- Publisher : Unknown
- Release Date : 1997
- Total pages : 552
- ISBN : 0128132981

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**Summary :** A comprehensive dictionary of scientific facts. It contains the biographies of numerous scientists including the Nobel prize winners; the discoveries of each one; the importance of their specialities and how they set about their work; and also what drove and inspired them as human beings....

- Author : Pierre Dedron,Jean Itard
- Publisher : Unknown
- Release Date : 1978
- Total pages : 325
- ISBN : 0128132981

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**Summary :** Download or read online Mathematics and Mathematicians written by Pierre Dedron,Jean Itard, published by which was released on 1978. Get Mathematics and Mathematicians Books now! Available in PDF, ePub and Kindle....

- Author : Rajbir Singh
- Publisher : Unknown
- Release Date : 1994
- Total pages : 212
- ISBN : 0128132981

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**Summary :** Download or read online History of Science History of mathematics written by Rajbir Singh, published by which was released on 1994. Get History of Science History of mathematics Books now! Available in PDF, ePub and Kindle....