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| 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 | : 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 | : 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 | : Gert-Martin Greuel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 601 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3662049635 |
This book can be understood as a model for teaching commutative algebra, and takes into account modern developments such as algorithmic and computational aspects. As soon as a new concept is introduced, the authors show how the concept can be worked on using a computer. The computations are exemplified with the computer algebra system Singular, developed by the authors. Singular is a special system for polynomial computation with many features for global as well as for local commutative algebra and algebraic geometry. The book includes a CD containing Singular as well as the examples and procedures explained in the book.
| Author | : Svetlana Cojocaru |
| Publisher | : IOS Press |
| Total Pages | : 336 |
| Release | : 2005 |
| Genre | : Electronic books |
| ISBN | : 1586035053 |
| Author | : Martin Kreuzer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 326 |
| Release | : 2008-07-05 |
| Genre | : Mathematics |
| ISBN | : 3540706283 |
This introduction to polynomial rings, Gröbner bases and applications bridges the gap in the literature between theory and actual computation. It details numerous applications, covering fields as disparate as algebraic geometry and financial markets. To aid in a full understanding of these applications, more than 40 tutorials illustrate how the theory can be used. The book also includes many exercises, both theoretical and practical.
| Author | : Giuseppe Valla |
| Publisher | : World Scientific |
| Total Pages | : 330 |
| Release | : 1994-08-19 |
| Genre | : |
| ISBN | : 9814551791 |
In a relatively short time, commutative algebra has grown in many directions. Over a period of nearly fifty years starting from the so-called homological period till today, the area has developed into a rich laboratory of methods, structures and problem-solving tools.One could say a distinct modern trend of commutative algebra is a strong interaction with various aspects of Combinatorics and Computer Algebra. This has resulted in a new sense of measuring for old assumptions, and a better understanding of old results.At the same time, Invariant Theory and Algebraic Geometry remain constituents of an everlasting classical source, responsible for important themes that have been developed in Commutative Algebra — such as deformation, linkage, algebraic tori and determinantal rings, etc.This volume of proceedings is well-entrenched on the lines of development outlined above. As such, it aims to keep researchers and mathematicians well-informed of the developments in the field.
| Author | : Gert-Martin Greuel |
| Publisher | : Springer |
| Total Pages | : 604 |
| Release | : 2018-09-18 |
| Genre | : Mathematics |
| ISBN | : 3319968270 |
This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging research of the distinguished mathematician, Antonio Campillo, in these and related fields. Besides his influence in the mathematical community stemming from his research, Campillo has also endeavored to promote mathematics and mathematicians' networking everywhere, especially in Spain, Latin America and Europe. Because of his impressive achievements throughout his career, we dedicate this book to Campillo in honor of his 65th birthday. Researchers and students from the world-wide, and in particular Latin American and European, communities in singularities, algebraic geometry, commutative algebra, coding theory, and other fields covered in the volume, will have interest in this book.
| Author | : David Cox |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 549 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 1475726937 |
Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. The book bases its discussion of algorithms on a generalisation of the division algorithm for polynomials in one variable that was only discovered in the 1960's. Although the algorithmic roots of algebraic geometry are old, the computational aspects were neglected earlier in this century. This has changed in recent years, and new algorithms, coupled with the power of fast computers, have let to some interesting applications, for example in robotics and in geometric theorem proving. In preparing this new edition, the authors present an improved proof of the Buchberger Criterion as well as a proof of Bezout's Theorem.
| 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.
