The Computer Algebra System OSCAR

Algorithms and Examples

Wolfram Decker, Christian Eder, Claus Fieker , Max Horn

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English

Springer International Publishing AG
31 January 2025

Algebra; Maths for computer scientists

Series: Algorithms and Computation in Mathematics

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.

Edited by: Wolfram Decker, Christian Eder, Claus Fieker, Max Horn, Michael Joswig
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: 2024 ed.
Volume: 32
Dimensions: Height: 235mm, Width: 155mm,
ISBN: 9783031621260
ISBN 10: 3031621263
Series: Algorithms and Computation in Mathematics
Pages: 491
Publication Date: 31 January 2025
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Commutative Algebra and Algebraic Geometry.- Number Theory.- Group theory.- Polyhedral Geometry.- Toric Geometry.