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The Mathematical Principles of Natural Philosophy

The Mathematical Principles of Natural Philosophy
An Annotated Translation of the Principia

c.£199.00

  • Publication planned for: October 2019
  • availability: Not yet published - available from October 2019
  • format: Hardback
  • isbn: 9781107020658

c.£ 199.00
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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.

    • 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: October 2019
    • format: Hardback
    • isbn: 9781107020658
    • dimensions: 253 x 203 mm
    • contains: 270 b/w illus. 20 tables
    • availability: Not yet published - available from October 2019
  • 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 non-spherical 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.

  • Author

    Isaac Newton

    Editor and Translator

    C. R. Leedham-Green, Queen Mary University of London
    C. R. Leedham-Green is an Emeritus Professor of Pure Mathematics at Queen Mary, University of London. He is an algebraist, working mainly in group theory, and most of his publications concern p-groups, pro-p-groups, and computation in matrix groups defined over finite fields. He is a joint author, together with Susan McKay, of The Structure of Groups of Prime Power Order (2002).

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