Solving Polynomial Equation Systems Iii Volume 3 Algebraic Solving
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Solving Polynomial Equation Systems Iii Volume 3 Algebraic Solving
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Author : Teo Mora
language : en
Publisher: Cambridge University Press
Release Date : 2015-08-07
Solving Polynomial Equation Systems Iii Volume 3 Algebraic Solving written by Teo Mora 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 2015-08-07 with Mathematics categories.
This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Gröbner bases, which allow one to manipulate the roots of the equation rather than just compute them. The book begins with the 'standard' solutions (Gianni–Kalkbrener Theorem, Stetter Algorithm, Cardinal–Mourrain result) and then moves on to more innovative methods (Lazard triangular sets, Rouillier's Rational Univariate Representation, the TERA Kronecker package). The author also looks at classical results, such as Macaulay's Matrix, and provides a historical survey of elimination, from Bézout to Cayley. This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers.
Solving Polynomial Equation Systems
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Author : Teo Mora
language : en
Publisher:
Release Date : 2015
Solving Polynomial Equation Systems written by Teo Mora and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Equations categories.
This third volume of four describes all the most important techniques, mainly based on Gröbner bases.
Solving Polynomial Equation Systems
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Author : Teo Mora
language : en
Publisher:
Release Date : 2015
Solving Polynomial Equation Systems written by Teo Mora and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with MATHEMATICS categories.
This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Gröbner bases, which allow one to manipulate the roots of the equation rather than just compute them. The book begins with the 'standard' solutions (Gianni-Kalkbrener Theorem, Stetter Algorithm, Cardinal-Mourrain result) and then moves on to more innovative methods (Lazard triangular sets, Rouillier's Rational Univariate Representation, the TERA Kronecker package). The author also looks at classical results, such as Macaulay's Matrix, and provides a historical survey of elimination, from Bézout to Cayley. This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers.
Solving Polynomial Equations
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Author : Alicia Dickenstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-04-27
Solving Polynomial Equations written by Alicia Dickenstein 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 2005-04-27 with Computers categories.
This book provides a general introduction to modern mathematical aspects in computing with multivariate polynomials and in solving algebraic systems. It presents the state of the art in several symbolic, numeric, and symbolic-numeric techniques, including effective and algorithmic methods in algebraic geometry and computational algebra, complexity issues, and applications ranging from statistics and geometric modelling to robotics and vision. Graduate students, as well as researchers in related areas, will find an excellent introduction to currently interesting topics. These cover Groebner and border bases, multivariate resultants, residues, primary decomposition, multivariate polynomial factorization, homotopy continuation, complexity issues, and their applications.
Solving Polynomial Equation Systems Iv Volume 4 Buchberger Theory And Beyond
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Author : Teo Mora
language : en
Publisher: Cambridge University Press
Release Date : 2016-04-01
Solving Polynomial Equation Systems Iv Volume 4 Buchberger Theory And Beyond written by Teo Mora 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 2016-04-01 with Mathematics categories.
In this fourth and final volume the author extends Buchberger's Algorithm in three different directions. First, he extends the theory to group rings and other Ore-like extensions, and provides an operative scheme that allows one to set a Buchberger theory over any effective associative ring. Second, he covers similar extensions as tools for discussing parametric polynomial systems, the notion of SAGBI-bases, Gröbner bases over invariant rings and Hironaka's theory. Finally, Mora shows how Hilbert's followers - notably Janet, Gunther and Macaulay - anticipated Buchberger's ideas and discusses the most promising recent alternatives by Gerdt (involutive bases) and Faugère (F4 and F5). This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers.
Solving Polynomial Equation Systems
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Author : Teo Mora
language : en
Publisher:
Release Date : 2015
Solving Polynomial Equation Systems written by Teo Mora and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
Equivalents Of The Riemann Hypothesis Volume 3 Further Steps Towards Resolving The Riemann Hypothesis
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Author : Kevin Broughan
language : en
Publisher: Cambridge University Press
Release Date : 2023-09-30
Equivalents Of The Riemann Hypothesis Volume 3 Further Steps Towards Resolving The Riemann Hypothesis written by Kevin Broughan 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 2023-09-30 with Mathematics categories.
This three-volume work presents the main known equivalents to the Riemann hypothesis, perhaps the most important problem in mathematics. Volume 3 covers new arithmetic and analytic equivalences from numerous studies in the field, such as Rogers and Tao, and presents derivations which show whether the Riemann hypothesis is decidable.
Solving Polynomial Equation Systems
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Author : Teo Mora
language : en
Publisher: Cambridge University Press
Release Date : 2003
Solving Polynomial Equation Systems written by Teo Mora 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 2003 with Mathematics categories.
Covers extensions of Buchberger's Theory and Algorithm, and promising recent alternatives to Gröbner bases.
Solving Polynomial Equation Systems Algebraic Solving
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Author : Teo Mora
language : en
Publisher:
Release Date : 2003
Solving Polynomial Equation Systems Algebraic Solving written by Teo Mora and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Equations categories.
An Invitation To Analytic Combinatorics
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Author : Stephen Melczer
language : en
Publisher: Springer Nature
Release Date : 2020-12-22
An Invitation To Analytic Combinatorics written by Stephen Melczer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-22 with Mathematics categories.
This book uses new mathematical tools to examine broad computability and complexity questions in enumerative combinatorics, with applications to other areas of mathematics, theoretical computer science, and physics. A focus on effective algorithms leads to the development of computer algebra software of use to researchers in these domains. After a survey of current results and open problems on decidability in enumerative combinatorics, the text shows how the cutting edge of this research is the new domain of Analytic Combinatorics in Several Variables (ACSV). The remaining chapters of the text alternate between a pedagogical development of the theory, applications (including the resolution by this author of conjectures in lattice path enumeration which resisted several other approaches), and the development of algorithms. The final chapters in the text show, through examples and general theory, how results from stratified Morse theory can help refine some of these computability questions. Complementing the written presentation are over 50 worksheets for the SageMath and Maple computer algebra systems working through examples in the text.