This textbook provides a step-by-step approach to numerical methods
in engineering modelling. The authors provide a consistent
treatment of the topic, from the ground up, to reinforce for
students that numerical methods are a set of mathematical modelling
tools which allow engineers to represent real-world systems and
compute features of these systems with a predictable error rate.
Each method presented addresses a specific type of problem, namely
root-finding, optimization, integral, derivative, initial value
problem, or boundary value problem, and each one encompasses a set
of algorithms to solve the problem given some information and to a
known error bound. The authors demonstrate that after developing a
proper model and understanding of the engineering situation they
are working on, engineers can break down a model into a set of
specific mathematical problems, and then implement the appropriate
numerical methods to solve these problems.