The Mathematical Principles of Natural Philosophy

by Isaac Newton

Overview

The book that redefined the universe—and laid the foundation of modern science. The Mathematical Principles of Natural Philosophy (1687), known as the Principia Mathematica, by Isaac Newton, is one of the most influential works in human history. In this monumental text, Newton formulates the laws of motion and the law of universal gravitation, providing a unified framework that explained both earthly mechanics and the motion of the heavens. With rigorous mathematics and groundbreaking insight, he transformed natural philosophy into modern physics. More than a scientific treatise, the Principia represents a revolution in thought—a turning point that shaped astronomy, mechanics, and the Enlightenment itself. Its impact echoes in every branch of science and continues to inspire scholars, scientists, and thinkers to this day. For students of science, philosophy, or history, The Mathematical Principles of Natural Philosophy remains essential reading: the origin of the modern scientific worldview. 👉 Click "Buy Now" and explore Isaac Newton's timeless masterpiece that unlocked the laws of the universe.

Product Details

ISBN-13:	9782387171351
Publisher:	Golden Quill Classics
Publication date:	09/18/2025
Sold by:	Bookwire
Format:	eBook
Pages:	378
File size:	4 MB

About the Author

Sir Isaac Newton (1642–1727) was an English physicist and mathematician who was a leading figure in the scientific revolution. His work throughout the seventeenth century provided the basis for modern science, including his three laws of motion and the law of universal gravitation. Newton’s career was prolific. He was president of the Royal Society and in 1705 he was knighted, becoming the first ever scientist to receive the honour.

Kirill Krasnov is a Professor of Mathematical Physics at the University of Nottingham. He has held Postdoctoral positions at the University of California, Santa Barbara and Max Planck Institute for Gravitational Physics, Potsdam, and has been the recipient of the prestigious EPSRC Advanced Fellowship and the ERC Consolidator Grant.

Table of Contents

Definitions; The Axioms, or the Laws of Motion; On the Motion of Bodies, Book One: I.1. On the theory of limits, which is used to deduce later results; I.2. On the calculation of centripetal forces; I.3. On the motion of particles in eccentric conic sections; I.4. On the calculation of elliptical, parabolic, and hyperbolic orbits; I.5. On the calculation of orbits when neither focus is given; I.6. On the calculation of motion in given orbits; I.7. On the ascent and descent of particles in a straight line; I.8. On the calculation of the orbits in which particles revolve under any centripetal forces; I.9. On the motion of particles in moving orbits, and the motion of the apsides; I.10. On the motion of particles on given surfaces, and the swinging motion of a string pendulum; I.11. On the motion of particles attracting each other by centripetal forces; I.12. On the attractive forces of spherical bodies; I.13. On the attractive forces of non-spherical bodies; I.14. On the motion of particles attracted by centripetal forces towards the various parts of arbitrarily large bodies; On the Motion of Bodies, Book Two: II.1. On the motion of particles moving against a resistance that is proportional to the speed; II.2. On the motion of bodies moving against a resistance that is proportional to the square of the speed; III.3. On the motion of bodies to which the resistance consists of one part that is proportional to the speed, and another to the square of the speed; II.4. On the circular motion of bodies in resisting media; II.5. On the density and compression of fluids, and on hydrostatics; II.6. On the motion and resistance of string pendulums; II.7. On the motion of fluids and the resistance of projectiles; II.8. On motion propagated through fluids; II.9. On the circular motion of fluids; On Celestial Mechanics, Book Three: Introduction to Book Three; The Rules of Scientific Argument; Phenomena; Propositions; On the motion of the nodes of the moon; General Scholium; A. Mathematical notation and results assumed in The Principia; B. Calculus in The Principia; C. Newton's astronomy; D. Newton's theory of tides; E. Technical terms used in the translation; F. On Newton's style, and translating The Principia; G. Some difficult words; H. Astrological symbols; I. Glossary of Latin terms; J. Technological illustrations; References; Index.