Description Of Singular A Computer Algebra System For Singularity Theory Algebraic Geometry And Commutative Algebra
Download Description Of Singular A Computer Algebra System For Singularity Theory Algebraic Geometry And Commutative Algebra full books in PDF, epub, and Kindle. Read online free Description Of Singular A Computer Algebra System For Singularity Theory Algebraic Geometry And Commutative Algebra ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
| 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 | : Christoph Lossen |
| Publisher | : Cambridge University Press |
| Total Pages | : 412 |
| Release | : 2006-04-06 |
| Genre | : Computers |
| ISBN | : 9780521683098 |
A collection of articles giving overviews and open questions in singularities and their computational aspects.
| Author | : Wolfram Decker |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 331 |
| Release | : 2006-03-02 |
| Genre | : Mathematics |
| ISBN | : 3540289925 |
This book provides a quick access to computational tools for algebraic geometry, the mathematical discipline which handles solution sets of polynomial equations. Originating from a number of intense one week schools taught by the authors, the text is designed so as to provide a step by step introduction which enables the reader to get started with his own computational experiments right away. The authors present the basic concepts and ideas in a compact way.
| Author | : Michael F. Atiyah |
| Publisher | : CRC Press |
| Total Pages | : 140 |
| Release | : 2018-03-09 |
| Genre | : Mathematics |
| ISBN | : 0429973268 |
First Published in 2018. This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read by students who have had a first elementary course in general algebra. On the other hand, it is not intended as a substitute for the more voluminous tracts such as Zariski-Samuel or Bourbaki. We have concentrated on certain central topics, and large areas, such as field theory, are not touched. In content we cover rather more ground than Northcott and our treatment is substantially different in that, following the modern trend, we put more emphasis on modules and localization.
| 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 | : 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 | : Ruud Pellikaan |
| Publisher | : Cambridge University Press |
| Total Pages | : 611 |
| Release | : 2017-11-02 |
| Genre | : Computers |
| ISBN | : 0521817110 |
Graduate-level introduction to error-correcting codes, which are used to protect digital data and applied in public key cryptosystems.
| Author | : Vladimir P. Gerdt |
| Publisher | : Springer |
| Total Pages | : 419 |
| Release | : 2017-09-07 |
| Genre | : Computers |
| ISBN | : 3319663208 |
This book constitutes the proceedings of the 19th International Workshop on Computer Algebra in Scientific Computing, CASC 2017, held in Beijing, China, in September 2017. The 28 full papers presented in this volume were carefully reviewed and selected from 33 submissions. They deal with cutting-edge research in all major disciplines of Computer Algebra.
| 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 | : 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.
