Software for Algebraic Geometry (IMA Volumes in Mathematics and Its Applications, #148) (Lecture Notes in Control and Information Sciences, #418)

by Michael Stillman, Nobuki Takayama, and Jan Verschelde

Michael Stillman (Editor), Nobuki Takayama (Editor), and Jan Verschelde (Editor)

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Book cover for Software for Algebraic Geometry

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Algorithms 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.

  • ISBN10 1281378089
  • ISBN13 9781281378088
  • Publish Date 1 January 2008
  • Publish Status Active
  • Out of Print 25 March 2015
  • Publish Country US
  • Imprint Springer New York
  • Format eBook
  • Pages 172
  • Language English