O'Reilly logo

Numerical Methods in Engineering with Python 3, Third Edition by Jaan Kiusalaas

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

4

Roots of Equations

 Find the solutions of f(x)=0, where the function f is given. 

4.1 Introduction

A common problem encountered in engineering analysis is as follows: Given a function f(x), determine the values of x for which f(x)=0. The solutions (values of x) are known as the roots of the equation f(x)=0, or the zeroes of the function f(x).

Before proceeding further, it might be helpful to review the concept of a function. The equation

contains three elements: an input value x, an output value y, and the rule f for computing y. The function is said to be given if the rule f is specified. In numerical computing the rule is invariably ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required