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Preface

Frontmatter

Introduction

Main

1. Root-finding
2. Linear Algebra and Simultaneous Equations
3. Polynomial Collocation and Approximation
4. Derivatives and Definite Integrals
5. Optimization
- 5.1. Finding the Minimum of a Function of One Variable Without Using Derivatives – under construction
- 5.2. Finding the Minimum of a Function of Several Variables — Coming Soon
6. Initial Value Problems for Ordinary Differential Equations

Appendices

1. Installing Julia and some useful add-ons
2. Notes on the Julia Language
3. Module NumericalMethods
4. Bibliography

.ipynb

Optimization

5. Optimization#

References:

[Sauer, 2022] Section 13.1 Unconstrained Otimization without Derivatives.
[Chenney and Kincaid, 2013], Chapter 13 Minimization of Functions.

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4.6. Definite Integrals, Part 4: Romberg Integration

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5.1. Finding the Minimum of a Function of One Variable Without Using Derivatives – under construction

By Brenton LeMesurier (College of Charleston, South Carolina) with contributions from Stephen Roberts (Australian National University).

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