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# Numerical Solution of Nonlinear Equations of One Variable

DOI link for Numerical Solution of Nonlinear Equations of One Variable

Numerical Solution of Nonlinear Equations of One Variable book

# Numerical Solution of Nonlinear Equations of One Variable

DOI link for Numerical Solution of Nonlinear Equations of One Variable

Numerical Solution of Nonlinear Equations of One Variable book

## ABSTRACT

In this chapter, we study methods for ﬁnding approximate solutions to the scalar equation f(x) = 0. Some classical examples include the equation x − tanx = 0 that occurs in the diﬀraction of light, or Kepler’s equation x − b sinx = 0 used for calculating planetary orbits. Other examples include transcendental equations such as f(x) = ex + x = 0 and algebraic equations such as x7 + 4x5 − 7x2 + 6x + 3 = 0. There are several reasons for beginning the study of numerical analysis with this problem:

1. The problem occurs frequently, i.e., the methods are useful.