👉 Recursive mathematics is a branch of mathematics where problems or functions are defined in terms of themselves, often involving repeated application of a rule or function. This means that to solve a problem, one must first understand and apply the same rules or functions repeatedly, either directly or indirectly. For example, the Fibonacci sequence is defined recursively by the relation \( F(n) = F(n-1) + F(n-2) \), with initial conditions \( F(0) = 0 \) and \( F(1) = 1 \). This approach allows for elegant solutions to complex problems but can also lead to inefficiencies, especially in cases where direct computation is required for large values.
