Force and Geometry in Newton's Principia

François De Gandt, Curtis Wilson

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English

Princeton University Press
23 September 2014

Geometry; Topology; Classical mechanics

Series: Princeton Legacy Library

In this book Francois De Gandt introduces us to the reading of Newton's Principia in its own terms. The path of access that De Gandt proposes leads through the study of the geometrization of force. The result is a highly original meditation on the sources and meaning of Newton's magnum opus. In Chapter I De Gandt presents a translation of and deta

By: François De Gandt
Translated by: Curtis Wilson
Imprint: Princeton University Press
Country of Publication: United States
Volume: 312
Dimensions: Height: 229mm, Width: 152mm, Spine: 17mm
Weight: 425g
ISBN: 9780691602516
ISBN 10: 0691602514
Series: Princeton Legacy Library
Pages: 312
Publication Date: 23 September 2014
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Active

Translator's IntroductionPrefaceConventions and AbbreviationsPreamble3Ch. IThe De motu of 168410The Elements of Newton's Solution10Ch. IIAspects of Force before the Principia58The Diffusion of the Solar Virtue: Kepler and the Calculation of Forces63Weight and Acceleration: Force and Time in the Galilean Tradition85Gravity and Centrifugal Force: The Analysis of Effort in the Cartesian Tradition117Newton and Circular Motion before the Principia139Ch. IIIThe Mathematical Methods159Indivisibles or Ultimate Ratios?159The Methods of Indivisibles168Motion in Geometry: The Kinematics of Curves and the Method of Fluxions202The Methods of the Principia (1): Ultimate Ratios and Finite Witnesses221The Methods of the Principia (2): The Inverse Problem and the Emergence of a New Style244Conclusions265Notes273Bibliography287Index295

Reviews for Force and Geometry in Newton's Principia

A major contribution to Newtonian studies. --Choice De Gandt's book ... is a lucid and historically grounded essay devoted to Newton's mathematization of central forces. --Centaurus