Microworld Title Page:
Nonlinear Equations

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Microworld: Nonlinear Equations: (All in One)
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Author: Ravinder Kumar

When f(x) is a nonlinear function, there is often no general procedure for finding exact solutions to the equation: f(x) = 0. Various methods are explored, in the 14 pages of this Microworld, for finding approximate numerical solutions of the equation in this case. In particular the following methods are explored and illustrated:

  1. Bisection method
  2. Secant method
  3. Newton's method
  4. Fixed Point Iteration Method

Newton's method is also used for determining complex roots. This book can be used both as a solver as well as an exploratory tool. The users are asked carefully to explore the methods and then describe the methods in their own words.

This book may be used for

The students may also compare the efficiency and efficacy of the various methods.

This Microworld is based on the Mathwright Library WorkBook: Nonlinear Equations by Lisa Coulter. The author would like to express his gratitude for Dr. Coulter's generous contribution to web scholarship.

 

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