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The Computer Algebra System OSCAR

Algorithms and Examples

  • Book
  • Sep 2024


  • A unique resource on the new computer algebra system OSCAR
  • Discusses the interaction of computational tools from different disciplines in algebra, geometry, and number theory
  • Presents explicit OSCAR code written by experts

Part of the book series: Algorithms and Computation in Mathematics (AACIM, volume 32)

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About this book

This book presents version 1.0 of the new Computer Algebra System OSCAR.

Written in Julia, OSCAR builds on and vastly extends four cornerstone systems:

ANTIC for number theory, GAP for group and representation theory,  polymake for polyhedral and tropical geometry, and  Singular for commutative algebra and algebraic geometry.

It offers powerful computational tools that transcend the boundaries of the individual disciplines involved.

It is freely available, open source software.


The book is an invitation to use OSCAR.  With discussions of theoretical and algorithmic aspects included, it offers a multitude of explicit code snippets.  These are valuable for interested researchers from graduate students through established experts.




  • algorithms
  • computer algebra
  • Julia
  • symbolic computation

Editors and Affiliations

  • Department of Mathematics, RPTU Kaiserslautern-Landau, Kaiserslautern, Germany

    Wolfram Decker, Christian Eder, Claus Fieker, Max Horn

  • Institute of Mathematics, Technical University of Berlin, Berlin, Germany

    Michael Joswig

Bibliographic Information

  • Book Title: The Computer Algebra System OSCAR

  • Book Subtitle: Algorithms and Examples

  • Editors: Wolfram Decker, Christian Eder, Claus Fieker, Max Horn, Michael Joswig

  • Series Title: Algorithms and Computation in Mathematics

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2024

  • Hardcover ISBN: 978-3-031-62126-0Due: 03 October 2024

  • Softcover ISBN: 978-3-031-62129-1Due: 03 October 2024

  • eBook ISBN: 978-3-031-62127-7Due: 03 October 2024

  • Series ISSN: 1431-1550

  • Edition Number: 1

  • Number of Pages: XVI, 455

  • Number of Illustrations: 56 b/w illustrations

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