INTRODUCTION TO NUMERICAL MATHEMATICS
Ouvrage 9780521336109 : INTRODUCTION TO NUMERICAL MATHEMATICS
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.
Contents
1. The numerical evaluation of expressions; 2. Linear systems of
equations; 3. Interpolation and numerical differentiation; 4. Numerical
integration; 5. Univariate nonlinear equations; 6. Systems of nonlinear
equations.
Auteur : NEUMAIER
Editeur : CAMBRIDGE UNIVERSITY PRESS
Nombre de pages : 365
Date de publication : 09 2001
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