Thinking Better with Mathematics – With Marcus du Sautoy

Explore how mathematics can enhance problem-solving skills and simplify complex challenges in this 55-minute lecture by Marcus du Sautoy at The Royal Institution. Delve into the applications of calculus, geometry, and probability in solving real-world problems, including the Bridges of Königsburg puzzle, neural networks, and optimizing rescue operations. Learn about the power of shortcuts in human progress, from ancient city planning to modern algorithms for finding life partners. Discover practical applications of mathematical concepts, such as improving memory, boosting creativity, and efficiently packing a car boot. Gain insights into network theory, topological maps, and the concept of small world networks, while exploring how these principles relate to the human brain and everyday problem-solving.

Introduction
A famous story
Two types of work
The shortcuts
Small sample size
Deal or no deal
Drawing a picture
The power of diagrams
Abuse of diagrams
Networked world
The bridges of Cologne
Topological maps
Walking bridges
A shortcut
Small world networks
Our brains
Pitstops
Shortcuts
Shortcuts in therapy
Breaking the law
Shortcut
Impossible shortcuts