Force and Geometry in Newton's Principia (eBook)

François De Gandt (Autor)

eBook Download: PDF

2014
312 Seiten
Princeton University Press (Verlag)
978-1-4008-6412-6 (ISBN)

Infos

In this book François 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.

Produkt-Details

• Erscheint lt. Verlag: 14.7.2014
• Reihe/Serie: Princeton Legacy Library
• Reihe/Serie: Princeton Legacy Library
• Übersetzer: Curtis Wilson
• Zusatzinfo: 171 line drawings
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Geisteswissenschaften ► Geschichte
• Themenwelt: Naturwissenschaften
• Themenwelt: Technik
• Schlagworte: Absolute time and space • acceleration • Arithmetica universalis • Astronomer • astronomia • Astronomia Nova • Astronomical Object • Astronomy • A Treatise on Electricity and Magnetism • Axial tilt • Calculation • Cartesian coordinate system • Celestial mechanics • celestial sphere • Celestial spheres • center of gravity • centrifugal force • centripetal force • Circular motion • Circular Orbit • circumference • classical mechanics • Concentric spheres • conic section • Curvature • De Magnete • De Motu (Berkeley's essay) • DIAMETER • Differential Calculus • differential equation • Dualism (philosophy of mind) • Earth's rotation • Elliptic orbit • Elongation (astronomy) • Epitome Astronomiae Copernicanae • Equation • Equations for a falling body • Equations of motion • Exaltation (astrology) • Fluxion • fundamental theorem • Galileo Galilei • Geometry • gravitational acceleration • Gravity • harmonices mundi • Horologium Oscillatorium • Huygens (spacecraft) • Hyperbola • hypothesis • Infinitesimal • Instant • inverse problem • Inverse-square law • Isaac Newton • Johannes Kepler • Kepler's laws of planetary motion • Kinematics • Libration • linear differential equation • Linear motion • Mathematical Physics • Mathematical Sciences • mathematician • Mathematics • Mechanics • Method of Fluxions • Moment (mathematics) • Mysterium Cosmographicum • Newton's law of universal gravitation • Newton's laws of motion • opticks • Orbit • Oscillation • Parabola • Parallelogram of force • Pendulum clock • Philosopher • Philosophiæ Naturalis Principia Mathematica • physicist • Positivism • Principle of Relativity • Proportionality (mathematics) • Proportion (architecture) • Quantity • result • Rotation around a fixed axis • Science • second law of thermodynamics • Semi-major and semi-minor axes • Test particle • The Nature of Space and Time • Theorem • theory • Torricelli's law • trapezoid • Trigonometric Functions • Tychonic System • Variable (mathematics) • Virtual displacement
• ISBN-10: 1-4008-6412-7 / 1400864127
• ISBN-13: 978-1-4008-6412-6 / 9781400864126