Computational Methods in Commutative Algebra and Algebraic Geometry

Released on by Wolmer Vasconcelos
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  • Computational Methods in Commutative Algebra and Algebraic Geometry Book Detail

  • Author : Wolmer Vasconcelos
  • Release Date : 2004-05-18
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 432
  • ISBN 13 : 9783540213116
  • File Size : 27,27 MB
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Computational Methods in Commutative Algebra and Algebraic Geometry by Wolmer Vasconcelos PDF Summary

Book Description: This ACM volume deals with tackling problems that can be represented by data structures which are essentially matrices with polynomial entries, mediated by the disciplines of commutative algebra and algebraic geometry. The discoveries stem from an interdisciplinary branch of research which has been growing steadily over the past decade. The author covers a wide range, from showing how to obtain deep heuristics in a computation of a ring, a module or a morphism, to developing means of solving nonlinear systems of equations - highlighting the use of advanced techniques to bring down the cost of computation. Although intended for advanced students and researchers with interests both in algebra and computation, many parts may be read by anyone with a basic abstract algebra course.

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Ideals, Varieties, and Algorithms

Ideals, Varieties, and Algorithms

File Size : 95,95 MB
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Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective g