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001 978-1-84628-776-3
003 DE-He213
005 20161121231126.0
007 cr nn 008mamaa
008 100301s2007 xxk| s |||| 0|eng d
020 _a9781846287763
_9978-1-84628-776-3
024 7 _a10.1007/978-1-84628-776-3
_2doi
050 4 _aQA21-27
072 7 _aPBX
_2bicssc
072 7 _aMAT015000
_2bisacsh
082 0 4 _a510.9
_223
100 1 _aTweddle, Ian.
_eauthor.
245 1 0 _aMacLaurin’s Physical Dissertations
_h[electronic resource] /
_cby Ian Tweddle.
264 1 _aLondon :
_bSpringer London,
_c2007.
300 _aVIII, 224 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSources and Studies in the History of Mathematics and Physical Sciences
505 0 _aGeneral 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.
520 _aThe 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.
650 0 _aMathematics.
650 0 _aEarth sciences.
650 0 _aApplied mathematics.
650 0 _aEngineering mathematics.
650 0 _aHistory.
650 0 _aContinuum physics.
650 0 _aPhysics.
650 1 4 _aMathematics.
650 2 4 _aHistory of Mathematical Sciences.
650 2 4 _aApplications of Mathematics.
650 2 4 _aClassical Continuum Physics.
650 2 4 _aHistory and Philosophical Foundations of Physics.
650 2 4 _aEarth Sciences, general.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781846285936
830 0 _aSources and Studies in the History of Mathematics and Physical Sciences
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-84628-776-3
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c508987
_d508987