1 - Newton's mathematical force-2

In this module we will take a look at how Newton's concept of force was originally formulated and how he establishes connections between Kepler's laws and the assumption of a central inverse square force law. The geometrical character of Newton's reasoning and the core differences compared to the way we learn this today will be evident.

In the "Expected Reading" you will find excerpts from Newton's "De motu corporum in gyrum", a manuscript that motivated the writing of the Principia. We will focus on the first 4 theorems and problems. The "Recommend Reading" contains both a very didactical explanation of theorem 3 and an excellent (although extensive) explanation of everything (3 chapters from the book The Key to Newton's Dynamics). In the "Complementary Reading" you will find the full text of De motu together with long chapters presenting an overview of the content and significance of Newton's Principia.

While reading Newton's original text several questions will come to your mind. Remember to submit at least three of them (see Assignment 1). Feel free to ask both specific but also more general questions related to the topic. These questions are essential for planning the teaching and discussion sessions.

I wish you a pleasant reading and look forward to struggling to understand this masterpiece in class!

Mange hilsner,

Ricardo