Java Number Cruncher: The Java Programmer's Guide to Numerical Computing By Ronald Mak
Table of Contents
Part II. Iterative Computations
Freshman calculus classes would have us believe that integration is mostly algebraic manipulation if the integrand (the function we want to integrate) fits a certain pattern, perform a prescribed set of transformations and then plug in the values to get the answer. For example, if the integrand is f ( x ) = x n and n -1, then, we were taught,
Unfortunately, in the real world, these patterns aren't always apparent, and so we use the computer to do numerical integration.