Leseprobe

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Leseprobe

Interval Analysis

Name: Interval Analysis
Author: Günter Mayer

and Automatic Result Verification

Günter Mayer

EPUB

ca. 154,95 €

Amazon iTunes Thalia.de Hugendubel Bücher.de ebook.de kobo Osiander Google Books Barnes&Noble bol.com Legimi yourbook.shop Kulturkaufhaus ebooks-center.de
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De Gruyter

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

Beschreibung

This self-contained text is a step-by-step introduction and a complete overview of interval computation and result verification, a subject whose importance has steadily increased over the past many years. The author, an expert in the field, gently presents the theory of interval analysis through many examples and exercises, and guides the reader from the basics of the theory to current research topics in the mathematics of computation.

Contents

Preliminaries
Real intervals
Interval vectors, interval matrices
Expressions, P-contraction, ε-inflation
Linear systems of equations
Nonlinear systems of equations
Eigenvalue problems
Automatic differentiation
Complex intervals

Rezensionen

Ferenc Agoston Bartha in: Mathematical Reviews Clippings (2018), MR3726854 
"The exposition is well structured and is written in a mathematically strict and comprehensive manner which contributes to an easy reading. As can be expected, due to volume restrictions, some of the sub-fields of interval analysis are not presented up to their recent state of the art, but this does not decrease the value of the book." In: Zentralblatt für Mathematik "The book is an in-depth overview of validated numerics, an emerging branch of scientific computing. Plenty of exercises and examples guide the reader from the very basics to current research topics."

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