Force and Geometry in Newton's Principia

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A01=François De Gandt
Absolute time and space
Acceleration
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Arithmetica Universalis
Astronomia
Astronomia nova
Astronomy
Author_François De Gandt
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Axial tilt
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Calculation
Cartesian coordinate system
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Celestial mechanics
Centrifugal force
Centripetal force
Circular motion
Circumference
Classical mechanics
Concentric spheres
Conic section
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De Magnete
De Motu (Berkeley's essay)
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Diameter
Differential calculus
Differential equation
Earth's rotation
Elliptic orbit
Elongation (astronomy)
Epitome Astronomiae Copernicanae
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Equations for a falling body
Equations of motion
Fluxion
Galileo Galilei
Geometry
Gravitational acceleration
Gravity
Harmonices Mundi
Horologium Oscillatorium
Huygens (spacecraft)
Hyperbola
Hypothesis
Instant
Inverse problem
Inverse-square law
Isaac Newton
Johannes Kepler
Kepler's laws of planetary motion
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Linear differential equation
Mathematical physics
Mathematical sciences
Mathematics
Mechanics
Moment (mathematics)
Mysterium Cosmographicum
Newton's law of universal gravitation
Newton's laws of motion
Orbit
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Parallelogram of force
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Philosophiæ Naturalis Principia Mathematica
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Science
Second law of thermodynamics
Semi-major and semi-minor axes
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Test particle
The Nature of Space and Time
Theorem
Theory
Torricelli's law
Trigonometric functions
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Product details

  • ISBN 9780691602516
  • Weight: 425g
  • Dimensions: 152 x 229mm
  • Publication Date: 14 Jul 2014
  • Publisher: Princeton University Press
  • Publication City/Country: US
  • Product Form: Paperback
  • Language: English
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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 detailed commentary on an earlier and simpler version of what in 1687 became Book I of the Principia; here in clearer and starker outline than in the final version, the basic principles of Newton's dynamics show forth. Chapter II places this dynamics in the intellectual context of earlier efforts--the first seeds of celestial dynamics in Kepler, Galileo's theory of accelerated motion, and Huygens's quantification of centrifugal force--and evaluates Newton's debt to these thinkers. Chapter III is a study of the mathematical tools used by Newton and their intellectual antecedents in the works of Galileo, Torricelli, Barrow, and other seventeenth-century mathematicians. The conclusion discusses the new status of force and cause in the science that emerges from Newton's Principia. Originally published in 1995. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.