December 2008
Intermediate to advanced
304 pages
6h 26m
English
Content preview from Numerical Methods with VBA Programming
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7 Roots of Nonlinear Equations: Finding Zero
7.1 What Is a Root?
A root of an equation f(x) = 0 is a value of x that satisfies the equation. If
x = 3 clearly satisfies the equation and therefore is its root. Some equations, such as polynomials or those involving trigonometric functions, have multiple roots. In such circumstances, finding the one that is physically meaningful may be challenging. Mathematics will not tell us this.
If a function with one independent variable, say, x, is plotted against x, the value of X where the function ...
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