 | List of publications in mathematics: Encyclopedia II - List of publications in mathematics - Calculus
List of publications in mathematics - Calculus
List of publications in mathematics - Philosophiae Naturalis Principia Mathematica
Description: The Philosophiae Naturalis Principia Mathematica (Latin: "mathematical principles of natural philosophy", often Principia or Principia Mathematica for short) is a three-volume work by Isaac Newton published on July 5, 1687. Probably the most influential scientific book ever published, it contains the statement of Newton's laws of motion forming the foundation of classical mechanics as well as his law of universal gravitation. He derives Kepler's laws for the motion of the planets (which were first obtained empirically). In formulating his physical theories, Newton had developed a field of mathematics known as calculus.
Up to the publication of this book, mathematics was only used to describe nature. This is the first instance when mathematics is used to explain nature. Here was born the practice, now so standard we identify it with science, of explaining nature by postulating mathematical axioms and demonstrating that their conclusion are observable phenomena. In other words, the greatness of the Principia is not only in developing a number of fundamental theories in physics and mathematics but first and foremost (amply demonstrated in the title!) in the very linking of science and mathematics. The influence of this book is so deep that nowadays we find this link obvious and cannot imagine doing science in any other way.
Importance: Topic creator, Breakthrough, Influence
List of publications in mathematics - Newton's Principia for the Common Reader
Description: An exposition, using modern notation and language, of a large part of Newton's above-cited masterwork. Mathematical and physical language and notation have evolved considerably since Newton's time, making it difficult for a modern reader to read Newton's original work even in translation from the original Latin. Chandrasekhar's labor of love makes it possible for a modern reader, familiar with the modern treatment of algebra, geometry and calculus to appreciate Newton's genius through following his work as he originally conceived it.
Importance: Interpretation for the modern reader of a great classic of mathematics and science
List of publications in mathematics - Calculus and Calculus on Manifolds
Description: Introductions to differential and integral calculus in a single and many variables respectively.
Importance: Introduction
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