Summary

Many people think that mathematics is useless. But mathematics can be used when you’re, for instance, planning a bus tour or installing gas and water pipes.

In these cases, you can use the travelling salesman problem, where you, given a complete graph with weights given for each edges, try to find the Hamilton Path with smallest weight. Using this, you can find the most efficient circulation passing all points, which will, for instance, help you minimize the bus fares and the costs for installing pipes.

Like this, you can analyze real-life problems with mathematics and apply the resultant mathematical solution to the real-life problem. Let’s find out more about them.

Implication

Mathematics has its uses.

Underlying context – Background behind

There exists some people who think that mathematics is useless.

Notions – Key ideas

Travelling salesman problem – finding the Hamilton Path with smallest weight given a complete graph with weights given for each edges
Mathematical thinking – converting a real-life problem into a mathematical problem and applying the mathematical solution to the real-life problem

Index – Source(s)

How to Think Like Mathematicians / 피타고라스 생각 수업
01 Seeing the World as a Problem | Travelling Salesman Problem / 세상을 문제로 보는 시선 | 외판원 문제

Trajectory – Where I’m headed now

Let’s find out the uses of mathematics.