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Maclaurin's Physical Dissertations (Sources and Studies in the History of Mathematics and Physical Sciences)

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Maclaurin's Physical Dissertations

Sources and Studies in the History of Mathematics and Physical Sciences

By Ian Tweddle

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Format: Hardcover, 220 pages
Other Information: Illustrated
Published In: United Kingdom, 15 November 2006
The Scottish mathematician Colin MacLaurin (1698-1746) is best known for developing and extending Newtons work in calculus, geometry and gravitation; his 2-volume work "Treatise of Fluxions" (1742) was the first systematic exposition of Newtons 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 MacLaurins 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 andappendices in which individual results are analysed, both in modern terms and from a historical point of view. Background material is also provided.

Table of Contents

General Introduction.- General Introduction.- MacLaurin on Gravity.- to Part I.- Translation of MacLaurin's Dissertation.- MacLaurin on Collisions.- to Part II.- Translation of MacLaurin's Essay.- MacLaurin on the Tides.- to Part III.- Translation of MacLaurin's Essay.

About the Author

Ian Tweddle is a proven Springer author, having already contributed two books to the Sources and Studies series: Simon on Porisms (306-5, published 2000), and Methodus Differentialis (723-0, published 2003). Of these three books, this one will have the widest appeal.

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)

EAN: 9781846285936
ISBN: 1846285933
Publisher: Springer
Dimensions: 23.42 x 16.26 x 1.68 centimetres (0.45 kg)
Age Range: 15+ years
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