Numerical Computing with MATLAB is a textbook for an introductory course in numerical methods, ..., and technical computing. The emphasis is on informed use of mathematical software. We want you learn enough about the [available software] that you will be able to use [it] correctly, appreciate [its] limitations, and modify [it] when necessary to suit your own needs.
Videos of twenty four 50-minute lectures for DPhil (PhD) students across all the science departments at the University of Oxford.
"The goal of this course of lectures is to introduce some of the most important and basic numerical algorithms that are used in practical computations ... [with] a thorough understanding of how the algorithms are constructed, why they work, and what their limitations are."
"In the January/February 2000 issue of Computing in Science and Engineering, Jack Dongarra and Francis Sullivan selected 10 algorithms with the greatest influence on science, numerical analysis, and engineering in the 20th century. In March 2016, Nick Higham (SIAM president, 2017-2018) presented a slightly revised list. In this course we will cover the motivations, ideas, history, and future impact of these ten algorithms.
Prerequities: A passion for numerical algorithms."