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008 100301s2008 xxu| s |||| 0|eng d
020 _a9780387781334
024 7 _a10.1007/978-0-387-78133-4
_2doi
035 _a978-0-387-78133-4
072 7 _aPBMW
_2bicssc
072 7 _aMAT012010
_2bisacsh
082 0 4 _a516.35
090 _amg
100 1 _aStillman, Michael E.
_95511
245 1 0 _aSoftware for Algebraic Geometry
_h[electronic resource]/
_cedited by Michael Stillman, Jan Verschelde, Nobuki Takayama.
260 _aNew York:
_bSpringer New York,
_c2008.
300 _bdigital.
490 0 _aThe IMA Volumes in Mathematics and its Applications,
_x0940-6573;
_v148
505 0 _aSoftware for numerical algebraic geometry: A paradigm and progress towards its implementation -- PhClab: A MATLAB/Octave interface to PHCpack -- Computing Grobner fans and tropical varieties in Gfan -- On a conjecture for the dimension of the space of the multiple zeta values -- DEMiCs: A software package for computing the mixed volume via dynamic enumeration of all mixed cells -- SYNAPS, a library for dedicated applications in symbolic numeric computing -- Tropical implicitization and mixed fiber polytopes -- Towards a black-box solver for finite games: Computing all equilibria with Gambit and PHCpack -- APATools: A software toolbox for approximate polynomial algebra .
520 _aAlgorithms in algebraic geometry go hand in hand with software packages that implement them. Together they have established the modern field of computational algebraic geometry which has come to play a major role in both theoretical advances and applications. Over the past fifteen years, several excellent general purpose packages for computations in algebraic geometry have been developed, such as, CoCoA, Singular and Macaulay 2. While these packages evolve continuously, incorporating new mathematical advances, they both motivate and demand the creation of new mathematics and smarter algorithms. This volume reflects the workshop "Software for Algebraic Geometry" held in the week from 23 to 27 October 2006, as the second workshop in the thematic year on Applications of Algebraic Geometry at the IMA. The papers in this volume describe the software packages Bertini, PHClab, Gfan, DEMiCs, SYNAPS, TrIm, Gambit, ApaTools, and the application of Risa/Asir to a conjecture on multiple zeta values. They offer the reader a broad view of current trends in computational algebraic geometry through software development and applications .
650 0 _aMathematics
_943458
650 0 _aGeometry, Algebraic
_943737
650 0 _aComputer science.
_931745
650 0 _aNumerical analysis
_943492
697 _aMatemáticas Gerais-
_x(inclusive alguns textos elementares sobre assuntos específicos)
_923752
700 1 _aVerschelde, Jan
_99362
700 0 _aTakayama, Nobuki,
_d1959-
_912772
710 1 _aSpringerLink (Online service).
_98857
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387781327
830 4 _aThe IMA volumes in mathematics and its applications;
_v148
_912439
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-78133-4
942 _2impa
_cEBK
999 _aSTILLMAN, Michael E.; VERSCHELDE, Jan; TAKAYAMA, Nobuki,. <b> Software for Algebraic Geometry. </b> New York: Springer New York, 2008. (The IMA Volumes in Mathematics and its Applications, 0940-6573 ; 148). ISBN 9780387781334. Disponível em: http://dx.doi.org/10.1007/978-0-387-78133-4 . Acesso em: 17 nov. 2017.
_c38522
_d38522