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Introduction to Numerical Mathematics by A. Neumaier,

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