Category: Mathematics

By Babak Hassibi, Ali H. Sayed, Thomas Kailath

This monograph offers a unified mathematical framework for quite a lot of difficulties in estimation and keep an eye on. The authors talk about the 2 most ordinarily used methodologies: the stochastic H2 procedure and the deterministic (worst-case) H strategy. regardless of the basic modifications within the philosophies of those techniques, the authors have found that, if indefinite metric areas are thought of, they are often handled within the comparable means and are basically an analogous. the advantages and outcomes of this unification are pursued intimately, with discussions of ways to generalize recognized effects from H 2 idea to H atmosphere, in addition to new effects and perception, the advance of latest algorithms, and functions to adaptive sign processing.

The authors intentionally have positioned basic emphasis on estimation difficulties, which permit one to resolve the entire correct regulate difficulties intimately. in addition they deal typically with discrete-time platforms, considering that those are those most crucial in present functions.

By De Marchis F.

By L. Lovasz

By J. Lennart Berggren, Petra G. Schmidl (auth.)

Dieses Buch enthält Episoden aus der Mathematik des mittelalterlichen Islam, die einen großen Einfluss auf die Entwicklung der Mathematik hatten. Der Autor beschreibt das Thema in seinem historischen Zusammenhang und bezieht sich hierbei auf arabische Texte. Zu den behandelten Gebieten gehören die Entdeckung der Dezimalbrüche, Geometrie, ebene und sphärische Trigonometrie, Algebra und die Näherungslösungen von Gleichungen. Außerdem werden eine Reihe von Anwendungen dieser Gebiete in der Gesellschaft des Islam, wie beispielsweise im Steuerwesen, im Erbfall, bei der Berechnung von Gebetszeiten und der Geometrie der Ornamente dargestellt. Das Buch ist für Mathematikhistoriker sowie für Mathematikstudenten von großem Interesse. Die Präsentation ist für jedermann mit Mathematikkenntnissen einer weiterführenden Schule leicht zugänglich.

By A. V. Jateaonkar

By Zhening Li, Simai He, Shuzhong Zhang

Polynomial optimization were a sizzling examine subject for the previous few years and its purposes variety from Operations examine, biomedical engineering, funding technological know-how, to quantum mechanics, linear algebra, and sign processing, between many others. during this short the authors talk about a few vital subclasses of polynomial optimization types bobbing up from a variety of functions, with a spotlight on approximations algorithms with assured worst case functionality research. The short provides a transparent view of the elemental principles underlying the layout of such algorithms and the advantages are highlighted by way of illustrative examples displaying the prospective applications.

This well timed treatise will entice researchers and graduate scholars within the fields of optimization, computational arithmetic, Operations learn, commercial engineering, and desktop technological know-how.

By Banica C., Stanasila O.

By Monson H

By Castorina D., Mancini G.

By Siebenmann