Numerical Solution of Equations of a Single Variable
This chapter focuses on numerical solution of equations of a single variable, which appear in the general form
Graphically, a solution (or root) of f(x) = 0 refers to the point of intersection of f(x) and the x-axis. Therefore, depending on the nature of the graph of f(x) in relation to the x-axis, Equation 3.1 may have a unique solution, multiple solutions, or no solution. A root of an equation can sometimes be determined analytically resulting in an exact solution in closed form. For instance, the equation e3x − 2 = 0 can be solved analytically to obtain a unique solution . In most situations, however, this is not possible and the root(s) must be found numerically. ...
