Showing students of science and engineering the potential of computers for solving numerical problems, this text also demonstrates the errors that inevitably accompany scientific computations and what can be done to minimise them.
This was the textbook for my Numerical Computation course I took in the last semester of my computer science degree at CU.
It provides a survey of the numerical analysis field, along with a good mathematical background for the concepts, and a treatment of the theorems and pseudocode used in numerical analysis algorithms.
I gave three stars since at times I felt lost in trying to understand what was happening mathematically. The authors make an assumption about the mathematical background required, and although I took a lot of math courses for my degree, sometimes I still felt inadequately prepared.
It did succeed in bringing together into one place the bits and pieces of matrices, infinite series, integration, and differential equations. I especially liked the chapter on natural cubic splines since I was able to use that in a class project that is directly applicable to what I do at work.