Computational Invariant Theory
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Book 1
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Book 1
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Computational Invariant Theory

Computational Invariant Theory


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About the Book

This book, the first volume of a subseries on "Invariant Theory and Algebraic Transformation Groups," provides a comprehensive and up-to-date overview of the algorithmic aspects of invariant theory. Numerous illustrative examples and a careful selection of proofs make the book accessible to non-specialists.

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From the reviews: .".. I found this book to be very impressive in its scope, accessibility and the quality of writing. ... There can be few readers, even amongst those with some prior knowledge of invariant theory, for whom several of these applications will not be new and impressive. ... In summary, this beautifully produced book is highly recommended both for experts in invariant theory and newcomers to the field." J.E.Cremona, Nieuw Archief voor Wiskunde 5/4 (2003), Issue 4 .".. Ein besonderer Vorteil dieses Buches ist das reichhaltige Kapitel uber Anwendungen. ... Wie die Autoren formulieren, wendet sich das Buch an Forscher im Gebiet der Geometrie, Computeralgebra und der Invariantentheorie. Es kann aber sicherlich auch fur ein Seminar verwendet werden, das auf eine einfuhrende Vorlesung zur Computeralgebra aufbaut. Da die Algorithmen zur Berechnung von fundamentalen Invarianten Grobnerbasen und algorithmische kommutative Algebra verwenden, behandelt das erste Kapitel dieses Thema. Schon hier kann man bewundern, wie knapp, prazise und auf den Punkt genau die Autoren formulieren. ... Insgesamt gesehen ist dies ein sehr schones Buch. Einige der Resultate sind nie zuvor in Buchform erschienen. ... Den einzigen Nachteil, den ich an diesem Buch finden kann, ist folgender: Ich hatte das Buch gern einige Jahre fruher zum Lesen gehabt." Karin Gaterman, Computeralgebra Rundbrief, Marz 2004 .".. Dieses in wissenschaftlicher und didaktischer Hinsicht vorzugliche, ubersichtlich gestaltete, gehaltvolle Werk uber ein "wie der Phonix aus der Asche emporgestiegenes," zu neuer Blute erwachtes, klassisches Gebiet mit faszinierenden Aspekten fur Anwender, "Rechner," Theoretiker verschiedensten Niveaus, aber auch fur nur am Rande Interessierte ... bietet einen direkten Zugang (auch fortschrittenen StudentInnen) zu aktuellen Forschungsgebieten in der Infariantentheorie, Computer-Algebra, Geometrie u.a. Viele Leser, verstarkt sogar jene mit gewissen


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Product Details
  • ISBN-13: 9783662049594
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Height: 234 mm
  • Weight: 449 gr
  • ISBN-10: 3662049597
  • Publisher Date: 15 Jan 2014
  • Binding: Paperback
  • Spine Width: 15 mm
  • Width: 156 mm


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