Overview
- Three important works are made generally accessible, in English, for the first time
- The original - and extremely rare - Latin text of MacLaurin's dissertation on gravity is provided in an appendix
- Includes extensive notes and commentary to aid understanding
Part of the book series: Sources and Studies in the History of Mathematics and Physical Sciences (SHMP)
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Table of contents (7 chapters)
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Front Matter
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General Introduction
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MacLaurin on Gravity
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Front Matter
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Back Matter
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MacLaurin on Collisions
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Front Matter
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Back Matter
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MacLaurin on the Tides
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Front Matter
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Back Matter
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Back Matter
Keywords
About this book
The Scottish mathematician Colin MacLaurin (1698-1746) is best known for developing and extending Newton’s work in calculus, geometry and gravitation; his 2-volume work "Treatise of Fluxions" (1742) was the first systematic exposition of Newton’s methods. It is well known that MacLaurin was awarded prizes by the Royal Academy of Sciences, Paris, for his earlier work on the collision of bodies (1724) and the tides (1740); however, the contents of these essays are less familiar – although some of the material is discussed in the Treatise of Fluxions - and the essays themselves often hard to obtain. This book presents these important works in translation for the first time, preceded by a translation of MacLaurin’s MA dissertation on gravity (Glasgow, 1713) which provides evidence of his early study of Newtonian principles.
In his essentially descriptive discussion of gravity MacLaurin ranges over planetary orbits, vortices and theology. His discussion of collisions includes a disputatious account of what should be understood by the force of a moving body, a contentious topic at the time. The essay on the tides has the original version of his celebrated theorem on the equilibrium of a spheroidal fluid mass and employs a remarkable combination of geometry and calculus to determine forces of attraction.
The aim is to make this material more generally accessible to researchers and students in mathematics and physics, and indeed to anyone with an interest in the historical development of these subjects. A general introduction puts the works in context and gives an outline of MacLaurin's career. Each translation is then accompanied by an introduction and a series of notes and appendices in which individual results are analysed, both in modern terms and from a historical point of view. Background material is also provided.
Reviews
From the reviews:
"Anyone seriously interested in Colin Maclaurin (1698-1746) or in eighteenth-century mathematical physics will welcome this book. … the assiduous reader will be rewarded in many ways, both by working through Tweddle’s introductions, notes, and appendices, and by reading Maclaurin’s own words in Tweddle’s clear and accurate translations. I find the book refreshing … we have the result of years of profound study and deliberation, careful textual analysis, and sound understanding and explanation of the relevant mathematics and physics." (Judith V. Grabiner, MathDL, January, 2007)
Authors and Affiliations
About the author
Bibliographic Information
Book Title: MacLaurin's Physical Dissertations
Authors: Ian Tweddle
Series Title: Sources and Studies in the History of Mathematics and Physical Sciences
DOI: https://doi.org/10.1007/978-1-84628-776-3
Publisher: Springer London
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag London 2007
Hardcover ISBN: 978-1-84628-593-6Published: 15 December 2006
Softcover ISBN: 978-1-84996-624-5Published: 21 October 2010
eBook ISBN: 978-1-84628-776-3Published: 06 March 2007
Series ISSN: 2196-8810
Series E-ISSN: 2196-8829
Edition Number: 1
Number of Pages: VIII, 224
Topics: History of Mathematical Sciences, Applications of Mathematics, Classical and Continuum Physics, History and Philosophical Foundations of Physics, Earth Sciences, general