Mathematics of Connections Made Simple

How did the United Kingdom's pension market nearly spiral after a sudden shock? Why do echo chambers help misinformation spread, and why are pandemic super-spreaders the real hidden danger?This book is a Weekend Pocketbook on Everything You Should Know About Percolation Theory, the hidden mathematics of tipping points, cascades, and sudden collapse. Written in everyday language, this explores how small changes can ripple through connected systems until, almost without warning, everything shifts.
Why do some failures stay local while others bring down an entire system?We begin with networks: the simple idea that the world can be understood as points and connections. Power stations, banks, airports, forests, social media accounts, habitats, neurons, and infected people may seem unrelated, but each can be seen as a web of nodes and edges. Once we see the pattern of connections, we begin to see why the same mathematical logic appears everywhere.
We then enter percolation theory, the science of how something spreads through a network. A spark through a forest. Water through stone. A blackout through the power grid. A rumor on social media. What decides whether a disturbance dies out quietly or becomes a giant connected cascade?