Introduction to Numerical Analysis

Arnold Neumaier (Autor)

Buch | Softcover

366 Seiten

2001
Cambridge University Press (Verlag)
9780521336109 (ISBN)

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This textbook provides an introduction to the justification and development of constructive methods that provide sufficiently accurate approximations to the solution of numerical problems. It also serves as an introduction to scientific programming in MATLAB, including many simple and difficult, theoretical and computational exercises.

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.

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.

Erscheint lt. Verlag	1.10.2001
Zusatzinfo	30 Line drawings, unspecified
Verlagsort	Cambridge
Sprache	englisch
Maße	152 x 229 mm
Gewicht	540 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-13	9780521336109 / 9780521336109
Zustand	Neuware