Mathematics are indispensable in astronomy. The site "The Astronomy in the teaching of Mathematics" (in french) summarizes the main applications of mathematics in astronomy.
Mathematical tools used in astronomy:
- Functions of one real variable: generality and continuity
- Functions of one real variable: differentiability
- The Riemann integral
- Expansions of a function of one real variable
- Functions of two variables
- Linear differential equations
- Topology and metric space
- Commonly used functions
- Functions of several variables
- Series
- Complex variables
- Geometry
- Algebra
- Statistics and probabilities