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Bücher Wissen & Bildung Englische Bücher Naturwissenschaft, Medizin, Informatik, Technik Mathematik Arithmetik & Algebra Computational Linear and Commutative Algebra
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Computational Linear and Commutative Algebra
Martin Kreuzer (Taschenbuch, Englisch)
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Beschreibung
This book combines, in a novel and general way, an extensive development of the theory of families of commuting matrices with applications to zero-dimensional commutative rings, primary decompositions and polynomial system solving. It integrates the Linear Algebra of the Third Millennium, developed exclusively here, with classical algorithmic and algebraic techniques. Even the experienced reader… will be pleasantly surprised to discover new and unexpected aspects in a variety of subjects including eigenvalues and eigenspaces of linear maps, joint eigenspaces of commuting families of endomorphisms, multiplication maps of zero-dimensional affine algebras, computation of primary decompositions and maximal ideals, and solution of polynomial systems. This book completes a trilogy initiated by the uncharacteristically witty books Computational Commutative Algebra 1 and 2 by the same authors. The material treated here is not available in book form, and much of it is notavailable at all. The authors continue to present it in their lively and humorous style, interspersing core content with funny quotations and tongue-in-cheek explanations. 53,49 €
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Technische Daten
Erscheinungsdatum
14.06.2018
Sprache
Englisch
EAN
9783319828657
Herausgeber
Springer International Publishing
Sonderedition
Nein
Autor
Martin Kreuzer
Seitenanzahl
321
Auflage
Softcover reprint of the original 1st edition 2016
Einbandart
Taschenbuch
Autorenporträt
Martin Kreuzer holds the Chair of Symbolic Computation at the University of Passau, Germany. Starting out in Commutative Algebra and Algebraic Geometry, his research interests have developed further into Computer Algebra and its applications, including industrial applications and algebraic cryptography. He is the author or co-author of five monographs on computational algebra, cryptography and logic.
Schlagwörter
commuting endomorphisms, generalized eigenspace, multiplication map, zero-dimensional affine algebra, primary decomposition, polynomial system, matrix theory
Thema-Inhalt
PBF - Algebra
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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