Solutions of Equations of One Variable With The Bisection Method
In this chapter we consider one of the most basic problems of numerical approximation, the root finding problem. This…
Taylor polynomial and Maclaurin polynomial
[Taylor’s Theorem] Suppose $f\in C^{n}[a,b]$ and $f^{(n+1)}$ exists on $[a,b]$. Let $x_{0}$ be a number in $[a,b]$. F…
Mathematical Preliminaries and Error Analysis Part 2
Review Of Calculus The integral is the other basic concept of calculus that is used extensively.The Riemann int…
Mathematical Preliminaries and Error Analysis
1.1 Introduction This part examines problems that can be solved by methods of approximation, techniques we call nu…