Topic: Newton vs. Leibniz
- General Introduction
o Introduction to who Newton and Leibniz are and their impact on the world of Mathematics.
- What is the Calculus Controversy?
- An Introduction to what the controversy is, why it exists and how it started.
- Introducing Their Ideas
o Newton’s Method of Fluxions-
- Talk about the main points in Newton’s version of Calculus. Introduce the terms he uses such as Fluents and discuss how Newton would solve a Calculus problem. o Leibniz’ Differential and Integral Calculus-
- Discuss Leibniz’ construction of quadratures and the notations Leibniz introduced.
- This is the section in which I will provide detailed solutions as to how both men would solve a calculus problem.
- The Controversy
o Who Did It First? –
- Discuss the evidence, timeframes, and historians’ viewpoints of both of their works.
- This includes discussing Leibniz’ 1673 visit to London, Leibniz correspondences with Collins, and Leibniz and Newton’s correspondences with each other.
- England’s loyalty to Newton.
- How the controversy has impacted the world of mathematics and present-day calculus.