There are acually a surprising amount of mathematics in football.
Here are the 3 best examples I could think of:
Trajectories/vectors-When thrown or kicked, vector analysis coupled with Newton's laws of trajectories explain the basics of where the football will land.
Differential Equations-Explain the flight of the football based on its airodynamics and how it is thrown.
Statistics/Probability-Explain why you may choose one play over another based on how the other team has reacted in the past, or it is overall.
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How did the building of the pyramids lead to advances in mathematics
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Mathematics
Robert E. Rector has written: 'Finite mathematics and its applications' -- subject(s): Mathematics
It depends on what you mean by soccer vs football. If you are referring to the beautiful game. Most countries and territories call it football or something similar to the name. However, some countries say soccer(Association Football) because they have other sports or versions of football, such as American Football, Canadian Football, Australian Football, Gaelic Football and Rugby Football.