Mathematics is applied in various branches of science:
- In physics, mathematics is an essential tool and physics inspires new mathematics.
- In chemistry, mathematical modeling is used to model chemical phenomena.
- In biology, precise mathematical models are needed to represent complex biological systems like protein interactions, and quantitative modeling allows simulation and prediction of properties.
- In social sciences, mathematics is used to model fields like economics, psychology, and political science through techniques like game theory and decision modeling.