Functional programming is a programming style that treats computation as evaluating mathematical functions. Instead of changing data (mutating), you create new data. Think of it like math: f(x) = x + 1 doesn't change x, it produces a new value.
Core Principles:
Pure functions: Same input always gives same output, no side effects
Immutability: Don't modify data, create new versions
First-class functions: Functions are values you can pass around
Higher-order functions: Functions that take or return functions
Benefits:
Predictable: Easier to reason about and test
Parallelizable: No shared mutable state
Composable: Build complex functions from simple ones