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001 978-0-387-78133-4
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008 100301s2008 xxu| s |||| 0|eng d
020 _a9780387781334
020 _a99780387781334
024 7 _a10.1007/978-0-387-78133-4
_2doi
082 0 4 _a516.35
_223
100 1 _aStillman, Michael.
_eeditor.
245 1 0 _aSoftware for Algebraic Geometry
_h[electronic resource] /
_cedited by Michael Stillman, Jan Verschelde, Nobuki Takayama.
264 1 _aNew York, NY :
_bSpringer New York,
_c2008.
300 _bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _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 Gröbner 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.
650 0 _aGEOMETRY, ALGEBRAIC.
650 0 _aCOMPUTER SCIENCE.
650 0 _aNUMERICAL ANALYSIS.
650 1 4 _aMATHEMATICS.
650 2 4 _aALGEBRAIC GEOMETRY.
650 2 4 _aCOMPUTATIONAL SCIENCE AND ENGINEERING.
650 2 4 _aNUMERICAL ANALYSIS.
700 1 _aVerschelde, Jan.
_eeditor.
700 1 _aTakayama, Nobuki.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387781327
830 0 _aThe IMA Volumes in Mathematics and its Applications,
_x0940-6573 ;
_v148
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-78133-4
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c59044
_d59044