Chapter 45 — Mathematical Functions and Numerical Methods
Beyond basic arithmetic, robust numeric applications require transcendental functions, special functions, and numerical algorithms for root finding, integration, and interpolation. This chapter covers Java's Math and StrictMath, implements key numerical methods, and provides performance guidance.
What You'll Learn
MathvsStrictMath: trade-offs and when to use each- Transcendental functions: exp, log, trig, hyperbolic
- Special functions: gamma, erf, Bessel (conceptual)
- Numerical methods: Newton-Raphson root finding, trapezoidal/Simpson's integration, linear interpolation
- Error analysis and convergence criteria
Use this chapter to implement reliable numerical algorithms for scientific computing, engineering simulations, and data analysis.