LEADER 02794nam 22006255 450 001 9910983309403321 005 20250829111030.0 010 $a9783031621277 010 $a3031621271 024 7 $a10.1007/978-3-031-62127-7 035 $a(CKB)37407189900041 035 $a(DE-He213)978-3-031-62127-7 035 $a(MiAaPQ)EBC31897069 035 $a(Au-PeEL)EBL31897069 035 $a(OCoLC)1492745461 035 $a(EXLCZ)9937407189900041 100 $a20250130d2025 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Computer Algebra System OSCAR $eAlgorithms and Examples /$fedited by Wolfram Decker, Christian Eder, Claus Fieker, Max Horn, Michael Joswig 205 $a1st ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025. 215 $a1 online resource (XVIII, 491 p. 56 illus.) 225 1 $aAlgorithms and Computation in Mathematics,$x2512-3254 ;$v32 311 08$a9783031621260 311 08$a3031621263 320 $aIncludes bibliographical references. 327 $aCommutative Algebra and Algebraic Geometry -- Number Theory -- Group theory -- Polyhedral Geometry -- Toric Geometry. 330 $aThis book presents version 1.0 of the new Computer Algebra System OSCAR. Written in Julia, OSCAR builds on and vastly extends four cornerstone systems: ANTIC for number theory,GAP for group and representation theory, polymake for polyhedral and tropical geometry, and Singular for commutative algebra and algebraic geometry. It offers powerful computational tools that transcend the boundaries of the individual disciplines involved. It is freely available, open source software. The book is an invitation to use OSCAR. With discussions of theoretical and algorithmic aspects included, it offers a multitude of explicit code snippets. These are valuable for interested researchers from graduate students through established experts. 410 0$aAlgorithms and Computation in Mathematics,$x2512-3254 ;$v32 606 $aAlgebra 606 $aComputer science$xMathematics 606 $aAlgebra 606 $aSymbolic and Algebraic Manipulation 606 $aĀlgebra$2thub 606 $aInformātica$2thub 608 $aLlibres electrōnics$2thub 615 0$aAlgebra. 615 0$aComputer science$xMathematics. 615 14$aAlgebra. 615 24$aSymbolic and Algebraic Manipulation. 615 7$aĀlgebra 615 7$aInformātica 676 $a510.28553 702 $aDecker$b W. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910983309403321 996 $aThe Computer Algebra System OSCAR$94316265 997 $aUNINA