ISBN: 9783642077968

Invariant theory is a subject with a long tradition and an astounding abil­ ity to rejuvenate itself whenever it reappears on the mathematical stage. Throughout the history of invariant t… Plus…

Invariant theory is a subject with a long tradition and an astounding abil­ ity to rejuvenate itself whenever it reappears on the mathematical stage. Throughout the history of invariant theory, two features of it have always been at the center of attention: computation and applications. This book is about the computational aspects of invariant theory. We present algorithms for calculating the invariant ring of a group that is linearly reductive or fi­ nite, including the modular case. These algorithms form the central pillars around which the book is built. To prepare the ground for the algorithms, we present Grabner basis methods and some general theory of invariants. Moreover, the algorithms and their behavior depend heavily on structural properties of the invariant ring to be computed. Large parts of the book are devoted to studying such properties. Finally, most of the applications of in­ variant theory depend on the ability to calculate invariant rings. The last chapter of this book provides a sample of applications inside and outside of mathematics. Books > Mathematics Soft cover, Springer Shop<

ISBN: 9783642077968

Invariant theory is a subject with a long tradition and an astounding abil­ ity to rejuvenate itself whenever it reappears on the mathematical stage. Throughout the history of invariant t… Plus…

Invariant theory is a subject with a long tradition and an astounding abil­ ity to rejuvenate itself whenever it reappears on the mathematical stage. Throughout the history of invariant theory, two features of it have always been at the center of attention: computation and applications. This book is about the computational aspects of invariant theory. We present algorithms for calculating the invariant ring of a group that is linearly reductive or fi­ nite, including the modular case. These algorithms form the central pillars around which the book is built. To prepare the ground for the algorithms, we present Grabner basis methods and some general theory of invariants. Moreover, the algorithms and their behavior depend heavily on structural properties of the invariant ring to be computed. Large parts of the book are devoted to studying such properties. Finally, most of the applications of in­ variant theory depend on the ability to calculate invariant rings. The last chapter of this book provides a sample of applications inside and outside of mathematics., Springer<

2010, ISBN: 9783642077968

Mitwirkende: Kemper, Gregor, Springer Berlin Heidelberg, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 2002, 280 Seiten, Publiziert: 2010-02-19T00:00:01Z, Produktgruppe: Bo… Plus…

Mitwirkende: Kemper, Gregor, Springer Berlin Heidelberg, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 2002, 280 Seiten, Publiziert: 2010-02-19T00:00:01Z, Produktgruppe: Book, Verkaufsrang: 75486, Programmierung & Webdesign, Computer & Internet, Kategorien, Bücher, Algebra & Zahlentheorie, Naturwissenschaft & Mathematik, Fachbücher, Ingenieurwissenschaft & Technik, Naturwissenschaften & Technik, Springer Berlin Heidelberg, 2010<

2010, ISBN: 364207796X

Edition reliée

Softcover reprint of hardcover 1st ed. 2002 Kartoniert / Broschiert Algorithmen und Datenstrukturen, Gröbnerbasis; invarianttheory; algorithms; codingtheory; computationalcommutativealg… Plus…

Softcover reprint of hardcover 1st ed. 2002 Kartoniert / Broschiert Algorithmen und Datenstrukturen, Gröbnerbasis; invarianttheory; algorithms; codingtheory; computationalcommutativealgebra; Geometry, mit Schutzumschlag 11, [PU:Springer Berlin Heidelberg; Springer-Verlag GmbH]<

2010, ISBN: 9783642077968

Paperback, Neubuch, BRAND NEW BOOK! Shipped within 24-48 hours. Normal delivery time is 5-12 days., [PU: Springer Berlin Heidelberg]