The Mathematical Principles of Natural Philosophy
An Annotated Translation of the Principia
c.$299.00 (R)
 Real Author: Isaac Newton
 Editor and Translator: C. R. LeedhamGreen, Queen Mary University of London
 Publication planned for: February 2020
 availability: Not yet published  available from February 2020
 format: Hardback
 isbn: 9781107020658
c.$
299.00
(R)
Hardback
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Newton's Principia is perhaps the second most famous work of mathematics, after Euclid's Elements. Originally published in 1687, it gave the first systematic account of the fundamental concepts of dynamics, as well as three beautiful derivations of Newton's law of gravitation from Kepler's laws of planetary motion. As a book of great insight and ingenuity, it has raised our understanding of the power of mathematics more than any other work. This heavily annotated translation of the third and final edition (1726) of the Principia will enable any reader with a good understanding of elementary mathematics to easily grasp the meaning of the text, either from the translation itself or from the notes, and to appreciate some of its significance. All forward references are given to illuminate the structure and unity of the whole, and to clarify the parts. The mathematical prerequisites for understanding Newton's arguments are given in a brief appendix.
Read more A translation of Newton's Principia, designed to be more readable than earlier translations which follow the Latin text verbally
 Copious notes discuss the meaning, context, and significance of the text, and explore its ambiguities
 The first translation into English that is based on an attempt to understand Newton's arguments
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×Product details
 Publication planned for: February 2020
 format: Hardback
 isbn: 9781107020658
 dimensions: 253 x 203 mm
 contains: 270 b/w illus. 20 tables
 availability: Not yet published  available from February 2020
Table of Contents
Definitions
The Axioms, or the Laws of Motion
Book One. On the Motion of Bodies: Section 1. On the theory of limits
Section 2. On the calculation of centripetal forces
Section 3. On the motion of particles in eccentric conic sections
Section 4. On the calculation of elliptical, parabolic, and hyperbolic orbits with a given focus
Section 5. On the calculation of orbits when neither focus is given
Section 6. On the calculation of motion in given orbits
Section 7. On the ascent and descent of particles in a straight line
Section 8. On the calculation of the orbits in which particles revolve under any centripetal forces
Section 9. On the motion of particles in moving orbits, and the motion of the apsides
Section 10. On the motion of particles on given surfaces, and the swinging motion of a string pendulum
Section 11. On the motion of particles attracting each other by centripetal forces
Section 12. On the attractive forces of spherical bodies
Section 13. On the attractive forces of nonspherical bodies
Section 14. On the motion of particles attracted by centripetal forces towards the various parts of arbitrarily large bodies
Book Two. On the Motion of Bodies: Section 1. On the motion of particles moving against a resistance that is proportional to the speed
Section 2. On the motion of particles moving against a resistance that is proportional to the square of the speed
Section. 3. On the motion of bodies to which the resistance consists of one part that is proportional to the speed, and another part that is proportional to the square of the speed
Section. 4. On the revolving motion of bodies in resisting media
Section 5. On the density and compression of fluids, and on hydrostatics
Section 6. On the motion and resistance of string pendulums
Section 7. On the motion of fluids and the resistance of projectiles
Section 8. On motion propagated through fluids
Section 9. On the circular motion of fluids
Book Three. On Celestial Mechanics: The rules of Scientific Argument
Phenomena
Propositions
On the motion of the nodes of the moon
Appendices
Glossary of Latin terms
References
Index.
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