Numerical analysis is an increasingly important link between pure
mathematics and its application in science and technology. This
textbook provides an introduction to the justification and
development of constructive methods that provide sufficiently
accurate approximations to the solution of numerical problems, and
the analysis of the influence that errors in data, finite-precision
calculations, and approximation formulas have on results, problem
formulation and the choice of method. It also serves as an
introduction to scientific programming in MATLAB, including many
simple and difficult, theoretical and computational exercises. A
unique feature of this book is the consequent development of
interval analysis as a tool for rigorous computation and computer
assisted proofs, along with the traditional material.
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