\contentsline {chapter}{Preface}{i}
\contentsline {chapter}{\numberline {1}Introduction}{1}
\contentsline {chapter}{\numberline {2}Sources of Error}{3}
\contentsline {section}{\numberline {2.1}Relative and absolute error}{3}
\contentsline {section}{\numberline {2.2}Computer arithmetic}{4}
\contentsline {subsection}{\numberline {2.2.1}Introducing the standard}{5}
\contentsline {subsection}{\numberline {2.2.2}Representation of numbers, arithmetic operations}{5}
\contentsline {subsection}{\numberline {2.2.3}Exceptions}{7}
\contentsline {section}{\numberline {2.3}Truncation error}{10}
\contentsline {section}{\numberline {2.4}Iterative Methods}{11}
\contentsline {section}{\numberline {2.5}Statistical error in Monte Carlo}{11}
\contentsline {section}{\numberline {2.6}Error amplification and unstable algorithms}{12}
\contentsline {section}{\numberline {2.7}Condition number and ill conditioned problems}{14}
\contentsline {section}{\numberline {2.8}Software tips}{15}
\contentsline {subsection}{\numberline {2.8.1}Floating point numbers are (almost) never equal}{15}
\contentsline {subsection}{\numberline {2.8.2}Plotting data curves}{16}
\contentsline {section}{\numberline {2.9}Further reading}{17}
\contentsline {section}{\numberline {2.10}Exercises}{19}
\contentsline {chapter}{\numberline {3}NumericalAnalysis}{23}
\contentsline {section}{\numberline {3.1}Software tips}{24}
\contentsline {subsection}{\numberline {3.1.1}Write flexible and verifiable codes}{24}
\contentsline {subsection}{\numberline {3.1.2}Report failures}{25}
\contentsline {section}{\numberline {3.2}Exercises}{25}