Singularities And Computer Algebra
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| Author | : Wolfram Decker |
| Publisher | : Springer |
| Total Pages | : 396 |
| Release | : 2017-03-29 |
| Genre | : Mathematics |
| ISBN | : 3319288296 |
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 | : |
| Total Pages | : 408 |
| Release | : 2006 |
| Genre | : Geometry, Algebraic |
| ISBN | : 9781107372306 |
A collection of articles giving overviews and open questions in singularities and their computational aspects.
| Author | : Jürgen Herzog |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 277 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 9400710925 |
Proceedings of the NATO Advanced Research Workshop, held in Sinaia, Romania, 17-22 September 2002
| Author | : Gert-Martin Greuel |
| Publisher | : |
| Total Pages | : |
| Release | : 1999 |
| Genre | : |
| ISBN | : |
| Author | : Johannes Grabmeier |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 656 |
| Release | : 2012-12-06 |
| Genre | : Computers |
| ISBN | : 3642558267 |
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 |
| Total Pages | : 0 |
| Release | : 2003-10-31 |
| Genre | : Mathematics |
| ISBN | : 9781402014864 |
Proceedings of the NATO Advanced Research Workshop, held in Sinaia, Romania, 17-22 September 2002
| Author | : Gert-Martin Greuel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 482 |
| Release | : 2007-02-23 |
| Genre | : Mathematics |
| ISBN | : 3540284192 |
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 |
| Total Pages | : 515 |
| Release | : 2014-09-01 |
| Genre | : Computers |
| ISBN | : 3319105159 |
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 |
| Total Pages | : 127 |
| Release | : 2013-02-07 |
| Genre | : Computers |
| ISBN | : 1107612535 |
A quick guide to computing in algebraic geometry with many explicit computational examples introducing the computer algebra system Singular.
| Author | : James William Bruce |
| Publisher | : CRC Press |
| Total Pages | : 292 |
| Release | : 1999-08-26 |
| Genre | : Mathematics |
| ISBN | : 9781584881421 |
The boundaries of singularity theory are broad and vague, connecting the most important applications of mathematics and science with more abstract areas. Optics, robotics, computer vision, Hamiltonian mechanics, bifurcation theory and differential equations are among the variety of topics that benefit from developments in the theory. With singularity theory encompassing more and more applications, Real and Complex Singularities provides insight into the future of this expanding field. Comprising refereed contributions to the Fifth Workshop on Real and Complex Singularities, this volume addresses three important areas related to the broad subject of singularities. The first section deals with questions within singularity theory itself, representing the topics currently being investigated. The second explores applications of singularity theory to differential geometry, robotics, and computer vision. The final section consists of applications to bifurcation theory and dynamical systems. With over two-hundred tables that provide quick access to data, this volume is a complete overview of the most current topics and applications of singularity theory. Real and Complex Singularities creates the opportunity for you to stay up-to-date with recent advances and discover promising directions for future research in the field.
