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Mathematics LibreTexts

1: Introduction

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  • 1.01: Introduction to Numerical Methods
    Introduction to numerical methods, or techniques to approximate mathematical processes such as integrals, differential equations, or nonlinear equations when the procedure cannot be solved analytically or the analytical method is infeasible.
  • 1.02: Quantifying Errors
    Methods of quantifying error, including true, relative true, approximate, and relative approximate errors. The relationship between the number of significant digits correct and the relative approximate error.
  • 1.03: Sources of Error
    Discussion of round-off and truncation errors, how they arise, and examples of the problems they can create.
  • 1.04: Fixed-Point Binary Representation of Numbers
    Conversion between decimal and binary representation of numbers; representing numbers in fixed-point binary form.
  • 1.05: Floating-Point Binary Representation of Numbers
    Floating-point binary representation of numbers, with and without biased exponents. Discussion of the accuracy of such representations.
  • 1.07: The Taylor Theorem Revisited
    Review of the Taylor Theorem. Overview of the role played by its applications in numerical methods.


This page titled 1: Introduction is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Autar Kaw via source content that was edited to the style and standards of the LibreTexts platform.

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