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Eurocal 87


Eurocal 87
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Eurocal 87


Eurocal 87
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Author : James H. Davenport
language : en
Publisher: Springer Science & Business Media
Release Date : 1989-08-09

Eurocal 87 written by James H. Davenport and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-08-09 with Computers categories.


This is the sixth in a series of conference proceedings of international conferences on computer algebra held in Europe. All the preceding ones have also been published as Lecture Notes in Computer Science. They contain original research material not published elsewhere, and a few invited lectures summarising the state of the art. Computer algebra is the science of using computers to do algebraic calculations, rather than the purely arithmetic calculations which we all know computers can do. These calculations may be polynomial-like calculations - one thread of the conference was devoted to polynomial algorithms - or may relate to other areas of mathematics such as integration, the solution of differential equations, or geometry - a second thread was devoted to those topics. The calculations can be applied in a wide range of scientific and engineering subjects, and in branches of mathematics. Physics has benefitted especially from these calculations, and the proceedings contain many papers on this, and also papers on applications in computer aided design and robotics, to name but a few other applications. The third thread of the proceedings was devoted to these applications and to the computer algebra systems which perform these calculations.



Eurocal 87


Eurocal 87
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Author : James H. Davenport
language : en
Publisher:
Release Date : 2014-01-15

Eurocal 87 written by James H. Davenport and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




General Relativity And Gravitational Physics Proceedings Of The 9th Italian Conference


General Relativity And Gravitational Physics Proceedings Of The 9th Italian Conference
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Author : Ruggiero De Ritis
language : en
Publisher: World Scientific
Release Date : 1991-08-28

General Relativity And Gravitational Physics Proceedings Of The 9th Italian Conference written by Ruggiero De Ritis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-08-28 with Science categories.


This is the proceedings of the 9th conference in this series. In addition to papers presented at the conference proper, it contains some papers delivered at Peter G Bergmann's 75th Birthday meeting (Capri, 24 Sept 1990). Among the subjects covered are cosmology and astrophysics, both theoretical and experimental.



An Introduction To Gr Bner Bases


An Introduction To Gr Bner Bases
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Author : Ralf Fröberg
language : en
Publisher: John Wiley & Sons
Release Date : 1997-10-07

An Introduction To Gr Bner Bases written by Ralf Fröberg and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-10-07 with Mathematics categories.


Grobner-Basen werden von Mathematikern und Informatikern zunehmend fur eine breite Palette von Anwendungen genutzt, in denen die algorithmische algebraische Geometrie eine Rolle spielt. Hier werden Grobner-Basen von einem konstruktiven, wenig abstrakten Standpunkt aus behandelt, wobei nur geringe Vorkenntnisse in linearer Algebra und komplexen Zahlen vorausgesetzt werden; zahlreiche Beispiele helfen bei der Durchdringung des Stoffes. Mit einer Ubersicht uber aktuell erhaltliche relevante Softwarepakete.



Polynomial Algorithms In Computer Algebra


Polynomial Algorithms In Computer Algebra
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Author : Franz Winkler
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Polynomial Algorithms In Computer Algebra written by Franz Winkler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


For several years now I have been teaching courses in computer algebra at the Universitat Linz, the University of Delaware, and the Universidad de Alcala de Henares. In the summers of 1990 and 1992 I have organized and taught summer schools in computer algebra at the Universitat Linz. Gradually a set of course notes has emerged from these activities. People have asked me for copies of the course notes, and different versions of them have been circulating for a few years. Finally I decided that I should really take the time to write the material up in a coherent way and make a book out of it. Here, now, is the result of this work. Over the years many students have been helpful in improving the quality of the notes, and also several colleagues at Linz and elsewhere have contributed to it. I want to thank them all for their effort, in particular I want to thank B. Buchberger, who taught me the theory of Grabner bases nearly two decades ago, B. F. Caviness and B. D. Saunders, who first stimulated my interest in various problems in computer algebra, G. E. Collins, who showed me how to compute in algebraic domains, and J. R. Sendra, with whom I started to apply computer algebra methods to problems in algebraic geometry. Several colleagues have suggested improvements in earlier versions of this book. However, I want to make it clear that I am responsible for all remaining mistakes.



Gr Bner Bases And Applications


Gr Bner Bases And Applications
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Author : Bruno Buchberger
language : en
Publisher: Cambridge University Press
Release Date : 1998-02-26

Gr Bner Bases And Applications written by Bruno Buchberger and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-02-26 with Mathematics categories.


Comprehensive account of theory and applications of Gröbner bases, co-edited by the subject's inventor.



Advances In Discrete And Computational Geometry


Advances In Discrete And Computational Geometry
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Author : Bernard Chazelle
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Advances In Discrete And Computational Geometry written by Bernard Chazelle and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.


This volume is a collection of refereed expository and research articles in discrete and computational geometry written by leaders in the field. Articles are based on invited talks presented at the AMS-IMS-SIAM Summer Research Conference, "Discrete and Computational Geometry: Ten Years Later", held in 1996 at Mt. Holyoke College (So.Hadley, MA). Topics addressed range from tilings, polyhedra, and arrangements to computational topology and visibility problems. Included are papers on the interaction between real algebraic geometry and discrete and computational geometry, as well as on linear programming and geometric discrepancy theory.



Computer Algebra In Physical Research Memorial Volume For N N Govorun Proceedings Of The Iv International Conference


Computer Algebra In Physical Research Memorial Volume For N N Govorun Proceedings Of The Iv International Conference
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Author : V A Rostovtsev
language : en
Publisher: #N/A
Release Date : 1991-12-11

Computer Algebra In Physical Research Memorial Volume For N N Govorun Proceedings Of The Iv International Conference written by V A Rostovtsev and has been published by #N/A this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-12-11 with categories.


Professor Nicholas N Govorun, corresponding member of the USSR Academy of Sciences, was the principal organizer of the precedent meetings held at Dubna (1979, 1983, 1985). Unfortunately, he passed away in 1989. This volume is to honor his support in Computer Algebra.This is perhaps the only meeting of the entire soviet union computer algebra community and foreign scientists. The meeting presented scientific results, plans for research facilities, and status reports of the basic areas of investigations. The fields covered include computer algebra systems and general algorithms as well as applied algorithms, programs and results in computer algebra applications (mainly in physics).



Effective Polynomial Computation


Effective Polynomial Computation
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Author : Richard Zippel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Effective Polynomial Computation written by Richard Zippel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.


Effective Polynomial Computation is an introduction to the algorithms of computer algebra. It discusses the basic algorithms for manipulating polynomials including factoring polynomials. These algorithms are discussed from both a theoretical and practical perspective. Those cases where theoretically optimal algorithms are inappropriate are discussed and the practical alternatives are explained. Effective Polynomial Computation provides much of the mathematical motivation of the algorithms discussed to help the reader appreciate the mathematical mechanisms underlying the algorithms, and so that the algorithms will not appear to be constructed out of whole cloth. Preparatory to the discussion of algorithms for polynomials, the first third of this book discusses related issues in elementary number theory. These results are either used in later algorithms (e.g. the discussion of lattices and Diophantine approximation), or analogs of the number theoretic algorithms are used for polynomial problems (e.g. Euclidean algorithm and p-adic numbers). Among the unique features of Effective Polynomial Computation is the detailed material on greatest common divisor and factoring algorithms for sparse multivariate polynomials. In addition, both deterministic and probabilistic algorithms for irreducibility testing of polynomials are discussed.



Elimination Methods


Elimination Methods
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Author : D. Wang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Elimination Methods written by D. Wang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


The development of polynomial-elimination techniques from classical theory to modern algorithms has undergone a tortuous and rugged path. This can be observed L. van der Waerden's elimination of the "elimination theory" chapter from from B. his classic Modern Algebra in later editions, A. Weil's hope to eliminate "from algebraic geometry the last traces of elimination theory," and S. Abhyankar's sug gestion to "eliminate the eliminators of elimination theory. " The renaissance and recognition of polynomial elimination owe much to the advent and advance of mod ern computing technology, based on which effective algorithms are implemented and applied to diverse problems in science and engineering. In the last decade, both theorists and practitioners have more and more realized the significance and power of elimination methods and their underlying theories. Active and extensive research has contributed a great deal of new developments on algorithms and soft ware tools to the subject, that have been widely acknowledged. Their applications have taken place from pure and applied mathematics to geometric modeling and robotics, and to artificial neural networks. This book provides a systematic and uniform treatment of elimination algo rithms that compute various zero decompositions for systems of multivariate poly nomials. The central concepts are triangular sets and systems of different kinds, in terms of which the decompositions are represented. The prerequisites for the concepts and algorithms are results from basic algebra and some knowledge of algorithmic mathematics.