This is an introductory single-term numerical analysis text with a
modern scientific computing flavor. It offers an immediate immersion in
numerical methods featuring an up-to-date approach to computational
matrix algebra and an emphasis on methods used in actual software
packages, always highlighting how hardware concerns can impact the
choice of algorithm. It fills the need for a text that is mathematical
enough for a numerical analysis course yet applied enough for students
of science and engineering taking it with practical need in mind.
The standard methods of numerical analysis are rigorously derived with
results stated carefully and many proven. But while this is the focus,
topics such as parallel implementations, the Basic Linear Algebra
Subroutines, halfto quadruple-precision computing, and other practical
matters are frequently discussed as well.
Prior computing experience is not assumed. Optional MATLAB subsections
for each section provide a comprehensive self-taught tutorial and also
allow students to engage in numerical experiments with the methods they
have just read about. The text may also be used with other computing
environments.
This new edition offers a complete and thorough update. Parallel
approaches, emerging hardware capabilities, computational modeling, and
data science are given greater weight.
