# Harmonic things

- Institution: Gresham College
- Speaker: Professor John D Barrow FRS
- Year: 2008
- Level: For everyone
- Language: English
- Subjects: Mathematics
- Source: [Gresham College](https://www.gresham.ac.uk/watch-now/harmonic-things)
- Licence: [Educational use (Gresham College's terms)](https://www.gresham.ac.uk/terms-and-conditions)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

The difference between series that are finite and infinite. Simple proofs by pictures. The ubiquity of the harmonic series. The Painter's Paradox. Going to infinity very slowly. How often should there be a record year of rainfall? The Problem of the Pile of Books, the Jeep Refueling Problem, and the Secretary Problem. Winning streaks in sports events - how long could you expect them to be? How can you tell a real random sequence from a faked one?

## Lectures

1. [Harmonic things](https://invisiblenetwork.ai/learn/gresham/harmonic-things/7337861d11de) (YouTube)