ABSTRACT
Many numerical methods are available for the solution of mathematical problems that arise in technology. Electronic calculators and computers can process large quantities of numerical data accurately and rapidly. These machines are well suited for numerical analysis techniques. Numerical methods may also be the only methods of solution if an analytical approach is impossible, as for many complicated integrals and equations. This chapter describes the Newton's method which enables the roots of an equation to be calculated to any desired accuracy. Newton's formula can generally be used for any polynomial or transcendental (i.e. non-polynomial) function. The chapter helps the readers to solve linear simultaneous equations using the pivotal elimination method and the iterative method. The iterative method is not suitable for all sets of linear simultaneous equations because successive approximations do not always converge to the required solution.
