Philosophiæ Naturalis Principia Mathematica (English: The Mathematical Principles of Natural Philosophy), often referred to as simply the Principia (), is a book by Sir Isaac Newton that expounds Newton's laws of motion and his law of universal gravitation. The Principia is written in Latin and comprises three volumes, and was authorized, imprimatur, by Samuel Pepys, then-President of the Royal Society on 5 July 1686 and first published in 1687.
The Principia is considered one of the most important works in the history of science. The French mathematical physicist Alexis Clairaut assessed it in 1747: "The famous book of Mathematical Principles of Natural Philosophy marked the epoch of a great revolution in physics. The method followed by its illustrious author Sir Newton ... spread the light of mathematics on a science which up to then had remained in the darkness of conjectures and hypotheses." The French scientist Joseph-Louis Lagrange described it as "the greatest production of the human mind". French polymath Pierre-Simon Laplace stated that "The Principia is pre-eminent above any other production of human genius". Newton's work has also been called "the greatest scientific work in history", and "the supreme expression in human thought of the mind's ability to hold the universe fixed as an object of contemplation". Mathematician Eric Temple Bell wrote "It is no miracle then, when the power of Newton's mathematical genius is taken into account, the Principia is the unsurpassed masterpiece of both scientific coordination and the art of scientific prediction that it is."