Description Of Singular A Computer Algebra System For Singularity Theory Algebraic Geometry And Commutative Algebra PDF Download
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Author | : Gert-Martin Greuel |
Publisher | : |
Total Pages | : |
Release | : 1999 |
Genre | : |
ISBN | : |
Download Description of SINGULAR: A Computer Algebra System for Singularity Theory, Algebraic Geometry and Commutative Algebra Book in PDF, ePub and Kindle
Author | : Gert-Martin Greuel |
Publisher | : Springer Science & Business Media |
Total Pages | : 601 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3662049635 |
Download A Singular Introduction to Commutative Algebra Book in PDF, ePub and Kindle
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 | : Gert-Martin Greuel |
Publisher | : Springer |
Total Pages | : 604 |
Release | : 2018-09-18 |
Genre | : Mathematics |
ISBN | : 3319968270 |
Download Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics Book in PDF, ePub and Kindle
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 | : Wolfram Decker |
Publisher | : Springer |
Total Pages | : 396 |
Release | : 2017-03-29 |
Genre | : Mathematics |
ISBN | : 3319288296 |
Download Singularities and Computer Algebra Book in PDF, ePub and Kindle
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 | : Wolfram Decker |
Publisher | : Springer Science & Business Media |
Total Pages | : 331 |
Release | : 2006-03-02 |
Genre | : Mathematics |
ISBN | : 3540289925 |
Download Computing in Algebraic Geometry Book in PDF, ePub and Kindle
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 | : Shihoko Ishii |
Publisher | : Springer |
Total Pages | : 236 |
Release | : 2018-09-21 |
Genre | : Mathematics |
ISBN | : 4431568379 |
Download Introduction to Singularities Book in PDF, ePub and Kindle
This book is an introduction to singularities for graduate students and researchers. Algebraic geometry is said to have originated in the seventeenth century with the famous work Discours de la méthode pour bien conduire sa raison, et chercher la vérité dans les sciences by Descartes. In that book he introduced coordinates to the study of geometry. After its publication, research on algebraic varieties developed steadily. Many beautiful results emerged in mathematicians’ works. First, mostly non-singular varieties were studied. In the past three decades, however, it has become clear that singularities are necessary for us to have a good description of the framework of varieties. For example, it is impossible to formulate minimal model theory for higher-dimensional cases without singularities. A remarkable fact is that the study of singularities is developing and people are beginning to see that singularities are interesting and can be handled by human beings. This book is a handy introduction to singularities for anyone interested in singularities. The focus is on an isolated singularity in an algebraic variety. After preparation of varieties, sheaves, and homological algebra, some known results about 2-dimensional isolated singularities are introduced. Then a classification of higher-dimensional isolated singularities is shown according to plurigenera and the behavior of singularities under a deformation is studied. In the second edition, brief descriptions about recent remarkable developments of the researches are added as the last chapter.
Author | : Michael F. Atiyah |
Publisher | : CRC Press |
Total Pages | : 140 |
Release | : 2018-03-09 |
Genre | : Mathematics |
ISBN | : 0429973268 |
Download Introduction To Commutative Algebra Book in PDF, ePub and Kindle
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 | : Gert-Martin Greuel |
Publisher | : Springer Science & Business Media |
Total Pages | : 482 |
Release | : 2007-02-23 |
Genre | : Mathematics |
ISBN | : 3540284192 |
Download Introduction to Singularities and Deformations Book in PDF, ePub and Kindle
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 Igorevich Arnolʹd |
Publisher | : Cambridge University Press |
Total Pages | : 88 |
Release | : 1991-05-31 |
Genre | : Mathematics |
ISBN | : 9780521422802 |
Download The Theory of Singularities and Its Applications Book in PDF, ePub and Kindle
In this book, which is based on lectures given in Pisa under the auspices of the Accademia Nazionale dei Lincei, the distinguished mathematician Vladimir Arnold describes those singularities encountered in different branches of mathematics. He avoids giving difficult proofs of all the results in order to provide the reader with a concise and accessible overview of the many guises and areas in which singularities appear, such as geometry and optics; optimal control theory and algebraic geometry; reflection groups and dynamical systems and many more. This will be an excellent companion for final year undergraduates and graduates whose area of study brings them into contact with singularities.
Author | : Christoph Lossen |
Publisher | : Cambridge University Press |
Total Pages | : 412 |
Release | : 2006-04-06 |
Genre | : Computers |
ISBN | : 9780521683098 |
Download Singularities and Computer Algebra Book in PDF, ePub and Kindle
A collection of articles giving overviews and open questions in singularities and their computational aspects.