[PDF] Singularities And Computer Algebra eBook

Author : Wolfram Decker
Publisher : Springer
Page : 396 pages
File Size : 20,43 MB
Release : 2017-03-29
Category : Mathematics
ISBN : 3319288296

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This book arose from a conference on “Singularities and Computer Algebra” which was held at the Pfalz-Akademie Lambrecht in June 2015 in honor of Gert-Martin Greuel’s 70th birthday. This unique volume presents a collection of recent original research by some of the leading figures in singularity theory on a broad range of topics including topological and algebraic aspects, classification problems, deformation theory and resolution of singularities. At the same time, the articles highlight a variety of techniques, ranging from theoretical methods to practical tools from computer algebra.Greuel himself made major contributions to the development of both singularity theory and computer algebra. With Gerhard Pfister and Hans Schönemann, he developed the computer algebra system SINGULAR, which has since become the computational tool of choice for many singularity theorists.The book addresses researchers whose work involves singularity theory and computer algebra from the PhD to expert level.

Author : Christoph Lossen
Publisher :
Page : 408 pages
File Size : 15,31 MB
Release : 2006
Category : Geometry, Algebraic
ISBN : 9781107372306

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A collection of articles giving overviews and open questions in singularities and their computational aspects.

Author : Jürgen Herzog
Publisher : Springer Science & Business Media
Page : 277 pages
File Size : 23,37 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 9400710925

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Proceedings of the NATO Advanced Research Workshop, held in Sinaia, Romania, 17-22 September 2002

Author : Johannes Grabmeier
Publisher : Springer Science & Business Media
Page : 656 pages
File Size : 39,8 MB
Release : 2012-12-06
Category : Computers
ISBN : 3642558267

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This Handbook gives a comprehensive snapshot of a field at the intersection of mathematics and computer science with applications in physics, engineering and education. Reviews 67 software systems and offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education.

Author : Jürgen Herzog
Publisher : Springer
Page : 0 pages
File Size : 47,2 MB
Release : 2003-10-31
Category : Mathematics
ISBN : 9781402014864

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Proceedings of the NATO Advanced Research Workshop, held in Sinaia, Romania, 17-22 September 2002

Author : J. Rafael Sendra
Publisher : Springer Science & Business Media
Page : 273 pages
File Size : 31,35 MB
Release : 2007-12-10
Category : Mathematics
ISBN : 3540737251

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The central problem considered in this introduction for graduate students is the determination of rational parametrizability of an algebraic curve and, in the positive case, the computation of a good rational parametrization. This amounts to determining the genus of a curve: its complete singularity structure, computing regular points of the curve in small coordinate fields, and constructing linear systems of curves with prescribed intersection multiplicities. The book discusses various optimality criteria for rational parametrizations of algebraic curves.

Author : Gert-Martin Greuel
Publisher : Springer Science & Business Media
Page : 482 pages
File Size : 16,73 MB
Release : 2007-02-23
Category : Mathematics
ISBN : 3540284192

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Singularity theory is a young, rapidly-growing topic with connections to algebraic geometry, complex analysis, commutative algebra, representations theory, Lie groups theory and topology, and many applications in the natural and technical sciences. This book presents the basic singularity theory of analytic spaces, including local deformation theory and the theory of plane curve singularities. It includes complete proofs.

Author : Vladimir P. Gerdt
Publisher : Springer
Page : 515 pages
File Size : 39,19 MB
Release : 2014-09-01
Category : Computers
ISBN : 3319105159

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This book constitutes the proceedings of the 16th International Workshop on Computer Algebra in Scientific Computing, CASC 2014, held in Warsaw, Poland, in September 2014. The 33 full papers presented were carefully reviewed and selected for inclusion in this book. The papers address issues such as Studies in polynomial algebra are represented by contributions devoted to factoring sparse bivariate polynomials using the priority queue, the construction of irreducible polynomials by using the Newton index, real polynomial root finding by means of matrix and polynomial iterations, application of the eigenvalue method with symmetry for solving polynomial systems arising in the vibration analysis of mechanical structures with symmetry properties, application of Gröbner systems for computing the (absolute) reduction number of polynomial ideals, the application of cylindrical algebraic decomposition for solving the quantifier elimination problems, certification of approximate roots of overdetermined and singular polynomial systems via the recovery of an exact rational univariate representation from approximate numerical data, new parallel algorithms for operations on univariate polynomials (multi-point evaluation, interpolation) based on subproduct tree techniques.

Author : Wolfram Decker
Publisher : Cambridge University Press
Page : 127 pages
File Size : 28,41 MB
Release : 2013-02-07
Category : Computers
ISBN : 1107612535

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A quick guide to computing in algebraic geometry with many explicit computational examples introducing the computer algebra system Singular.