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Anbieter: Antiquariat Renner OHG, Albstadt, Deutschland
Verbandsmitglied: BOEV
Verlag: Springer London, 2010
ISBN 10: 1849966249ISBN 13: 9781849966245
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Buch
Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.
Verlag: Springer London, 2010
ISBN 10: 1849968624ISBN 13: 9781849968621
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Buch
Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Most mathematicians' knowledge of Euclid's lost work on Porisms comes from a very brief and general description by Pappus of Alexandria. While Fermat and others made earlier attempts to explain the Porisms, it is Robert Simson who is generally recognised as the first person to achieve a genuine insight into the true nature of the subject.In this book, Ian Tweddle, a recognised authority on 18th century Scottish mathematics, presents for the first time a full and accessible translation of Simson's work. Based on Simson's early paper of 1723, the treatise, and various extracts from Simson's not Elektronisches Buch and correspondence, this book provides a fascinating insight into the work of an often-neglected figure. Supplemented by historical and mathematical notes and comments, this book is a valuable addition to the literature for anyone with an interest in mathematical history or geometry.
Verlag: Springer London, 2000
ISBN 10: 1852333065ISBN 13: 9781852333065
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Buch
Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Most mathematicians' knowledge of Euclid's lost work on Porisms comes from a very brief and general description by Pappus of Alexandria. While Fermat and others made earlier attempts to explain the Porisms, it is Robert Simson who is generally recognised as the first person to achieve a genuine insight into the true nature of the subject.In this book, Ian Tweddle, a recognised authority on 18th century Scottish mathematics, presents for the first time a full and accessible translation of Simson's work. Based on Simson's early paper of 1723, the treatise, and various extracts from Simson's not Elektronisches Buch and correspondence, this book provides a fascinating insight into the work of an often-neglected figure. Supplemented by historical and mathematical notes and comments, this book is a valuable addition to the literature for anyone with an interest in mathematical history or geometry.
Verlag: Springer London, 2006
ISBN 10: 1846285933ISBN 13: 9781846285936
Anbieter: moluna, Greven, Deutschland
Buch
Zustand: New. 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 appendixIncludes extensive notes and commentary to a.
Verlag: Springer London, 2012
ISBN 10: 1447111273ISBN 13: 9781447111276
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Buch
Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - James Stirling's 'Methodus Differentialis' is one of the early classics of numerical analysis. It contains not only the results and ideas for which Stirling is chiefly remembered, for example, Stirling numbers and Stirling's asymptotic formula for factorials, but also a wealth of material on transformations of series and limiting processes. An impressive collection of examples illustrates the efficacy of Stirling's methods by means of numerical calculations, and some germs of later ideas, notably the Gamma function and asymptotic series, are also to be found. This volume presents a new translation of Stirling's text that features an extensive series of notes in which Stirling's results and calculations are analysed and historical background is provided. Ian Tweddle places the text in its contemporary context, but also relates the material to the interests of practising mathematicians today. Clear and accessible, this book will be of interest to mathematical historians, researchers and numerical analysts.
Verlag: Springer London, 2003
ISBN 10: 1852337230ISBN 13: 9781852337230
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Buch
Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - James Stirling's 'Methodus Differentialis' is one of the early classics of numerical analysis. It contains not only the results and ideas for which Stirling is chiefly remembered, for example, Stirling numbers and Stirling's asymptotic formula for factorials, but also a wealth of material on transformations of series and limiting processes. An impressive collection of examples illustrates the efficacy of Stirling's methods by means of numerical calculations, and some germs of later ideas, notably the Gamma function and asymptotic series, are also to be found. This volume presents a new translation of Stirling's text that features an extensive series of notes in which Stirling's results and calculations are analysed and historical background is provided. Ian Tweddle places the text in its contemporary context, but also relates the material to the interests of practising mathematicians today. Clear and accessible, this book will be of interest to mathematical historians, researchers and numerical analysts.