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Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory

Herausgeber: Böckle, Gebhard, Decker, Wolfram, Malle, Gunter (Eds.)

  • Broad range of up to date computational recipes
  • Introduction to computational tools by explicit examples
  • Applications from providing new examples to solving classification problems
Weitere Vorteile

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eBook 118,99 €
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  • ISBN 978-3-319-70566-8
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Hardcover 149,79 €
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  • ISBN 978-3-319-70565-1
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  • Gewöhnlich versandfertig in 3-5 Werktagen.
Über dieses Buch

This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory”, which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016. The goal of the program was to substantially advance algorithmic and experimental methods in the aforementioned disciplines, to combine the different methods where necessary, and to apply them to central questions in theory and practice. Of particular concern was the further development of freely available open source computer algebra systems and their interaction in order to create powerful new computational tools that transcend the boundaries of the individual disciplines involved. 

The book covers a broad range of topics addressing the design and theoretical foundations, implementation and the successful application of algebraic algorithms in order to solve mathematical research problems.

It offers a valuable resource for all researchers, from graduate students through established experts, who are interested in the computational aspects of algebra, geometry, and/or number theory.

Über den Autor

Gebhard Böckle is professor of mathematics at the Universität Heidelberg. His research themes are Galois representations over number and function fields, the arithmetic of function fields, and cohomological methods in positive characteristic.

Wolfram Decker is professor of mathematics at TU Kaiserslautern. His research fields are algebraic geometry and computer algebra. He heads the development team of the computer algebra system Singular. From 2010-2016, he was the coordinator of the DFG Priority Program SPP 1489 from which this volume originates.

Gunter Malle is professor of mathematics at TU Kaiserslautern. He is working in group representation theory with particular emphasis on algorithmic aspects.

Inhaltsverzeichnis (31 Kapitel)

  • Algorithmic Aspects of Units in Group Rings

    Bächle, Andreas (et al.)

    Seiten 1-22

  • A Constructive Approach to the Module of Twisted Global Sections on Relative Projective Spaces

    Barakat, Mohamed (et al.)

    Seiten 23-49

  • Local to Global Algorithms for the Gorenstein Adjoint Ideal of a Curve

    Böhm, Janko (et al.)

    Seiten 51-96

  • Picard Curves with Small Conductor

    Börner, Michel (et al.)

    Seiten 97-122

  • Normaliz 2013–2016

    Bruns, Winfried (et al.)

    Seiten 123-146

Dieses Buch kaufen

eBook 118,99 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-70566-8
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 149,79 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-70565-1
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
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Bibliografische Information

Bibliographic Information
Buchtitel
Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory
Herausgeber
  • Gebhard Böckle
  • Wolfram Decker
  • Gunter Malle
Copyright
2017
Verlag
Springer International Publishing
Copyright Inhaber
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-70566-8
DOI
10.1007/978-3-319-70566-8
Hardcover ISBN
978-3-319-70565-1
Auflage
1
Seitenzahl
IX, 763
Anzahl der Bilder und Tabellen
97 schwarz-weiß Abbildungen, 16 Abbildungen in Farbe
Themen