Python Math Module

Python Math Module: Advanced Mathematical Functions

The math standard library module provides C-level speed for logarithmic, trigonometric, hyperbolic, and rounding functions on real floating-point numbers.

Trigonometric & Exponential Suite

flowchart LR
    A["math Module"] --> B["Constants: pi, e, tau, inf, nan"]
    A --> C["Trigonometry: sin, cos, tan, asin, acos, atan2"]
    A --> D["Logs & Exponents: log, log10, log2, exp, pow"]
    A --> E["Number Theory: gcd, lcm, factorial, comb, perm"]

Practical Code Example

import math

def advanced_math_demo() -> None:
    # Number Theory & Combinatorics
    n_items = 5
    k_choices = 2
    combinations = math.comb(n_items, k_choices)
    permutations = math.perm(n_items, k_choices)
    gcd_val = math.gcd(24, 36)
    
    print(f"5 Choose 2 Combinations: {combinations}")
    print(f"5 Pick 2 Permutations  : {permutations}")
    print(f"GCD of 24 and 36       : {gcd_val}")

    # Logarithms & Exponents
    val = 100.0
    print(f"ln({val})    = {math.log(val):.4f}")
    print(f"log10({val}) = {math.log10(val):.4f}")
    print(f"log2({val})  = {math.log2(val):.4f}")

    # Special Constants & Checks
    print(f"math.isnan(float('nan')): {math.isnan(float('nan'))}")
    print(f"math.isinf(math.inf)    : {math.isinf(math.inf)}")

if __name__ == "__main__":
    advanced_math_demo()

Best Practices & Gotchas

• Real Numbers Only: The math module does not support complex numbers (3+4j). Use cmath for complex domain math.
• Use Radians for Trig: All math trigonometric functions (sin, cos, tan) expect angles in radians. Convert degrees using math.radians(deg).
• Use math.comb: Use math.comb(n, k) instead of manually writing factorial divisions.

Self-Check Challenge

Write a function calculate_compound_interest(principal: float, rate: float, years: int) -> float using math.pow().