# Shaping Modern Mathematics

- Institution: Gresham College
- Speaker: Professor Raymond Flood
- Year: 2012
- Level: For everyone
- Language: English
- Subjects: Mathematics, History
- Source: [Gresham College](https://www.gresham.ac.uk/watch-now/series/shaping-modern-mathematics)
- Licence: [Educational use (Gresham College's terms)](https://www.gresham.ac.uk/terms-and-conditions)
- Who can watch: Teens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

In 1734 Bishop Berkeley published a witty and effective attack on the foundations of the calculus as developed by Newton and Leibniz. But it took nearly 90 years for the calculus to be given a rigorous foundation through the work of the prolific mathematician, Augustin-Louis Cauchy, who formalised the concept of a limit and created the specialism now called analysis.

## Lectures

1. [Ghosts of Departed Quantities: Calculus and its Limits](https://invisiblenetwork.ai/learn/gresham/series-shaping-modern-mathematics/8201322efad3) (YouTube)
2. [Polynomials and their Roots](https://invisiblenetwork.ai/learn/gresham/series-shaping-modern-mathematics/3fbc0f9542a3) (YouTube)
3. [From One to Many Geometries](https://invisiblenetwork.ai/learn/gresham/series-shaping-modern-mathematics/a5738a0f5de9) (YouTube)
4. [The Queen of Mathematics](https://invisiblenetwork.ai/learn/gresham/series-shaping-modern-mathematics/bf3ca78a3a1d) (YouTube)
5. [Are Averages Typical?](https://invisiblenetwork.ai/learn/gresham/series-shaping-modern-mathematics/df9414638d4f) (YouTube)
6. [Modelling the World](https://invisiblenetwork.ai/learn/gresham/series-shaping-modern-mathematics/9280bc128ccf) (YouTube)