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D-Finite Functions

Posted By: AvaxGenius
Date: 9 Nov 2023 04:54:38
D-Finite Functions

D-Finite Functions by Manuel Kauers
English | PDF (True) | 2023 | 699 Pages | ISBN : 3031346513 | 16.6 MB

Defined as solutions of linear differential or difference equations with polynomial coefficients, D-finite functions play an important role in various areas of mathematics. This book is a comprehensive introduction to the theory of these functions with a special emphasis on computer algebra algorithms for computing with them: algorithms for detecting relations from given data, for evaluating D-finite functions, for executing closure properties, for obtaining various kinds of “explicit” expressions, for factoring operators, and for definite and indefinite symbolic summation and integration are explained in detail.
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Rational Algebraic Curves: A Computer Algebra Approach (Repost)

Posted By: AvaxGenius
Date: 23 Mar 2023 18:23:16
Rational Algebraic Curves: A Computer Algebra Approach (Repost)

Rational Algebraic Curves: A Computer Algebra Approach by J. Rafael Sendra , Franz Winkler , Sonia Pérez-Díaz
English | PDF (True) | 2008 | 273 Pages | ISBN : 3540737243 | 3.68 MB

Algebraic curves and surfaces are an old topic of geometric and algebraic investigation. They have found applications for instance in ancient and m- ern architectural designs, in number theoretic problems, in models of b- logical shapes, in error-correcting codes, and in cryptographic algorithms. Recently they have gained additional practical importance as central objects in computer-aided geometric design. Modern airplanes, cars, and household appliances would be unthinkable without the computational manipulation of algebraic curves and surfaces. Algebraic curves and surfaces combine fas- nating mathematical beauty with challenging computational complexity and wide spread practical applicability.
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Algebraic Informatics

Posted By: AvaxGenius
Date: 25 Oct 2022 08:37:55
Algebraic Informatics

Algebraic Informatics: 9th International Conference, CAI 2022, Virtual Event, October 27–29, 2022, Proceedings by Dimitrios Poulakis, George Rahonis
English | EPUB | 2022 | 233 Pages | ISBN : 3031196848 | 19.3 MB

This book constitutes the proceedings of the 9th International Conference on Algebraic Informatics, CAI 2022, held as virtual event, in October 27–29, 2022.
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Algebraic Informatics

Posted By: AvaxGenius
Date: 23 Oct 2022 01:11:46
Algebraic Informatics

Algebraic Informatics: 9th International Conference, CAI 2022, Virtual Event, October 27–29, 2022, Proceedings by Dimitrios Poulakis, George Rahonis
English | PDF | 2022 | 233 Pages | ISBN : 3031196848 | 4.1 MB

This book constitutes the proceedings of the 9th International Conference on Algebraic Informatics, CAI 2022, held as virtual event, in October 27–29, 2022.
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Algorithmic Algebraic Combinatorics and Gröbner Bases (Repost)

Posted By: AvaxGenius
Date: 20 Jun 2022 01:22:32
Algorithmic Algebraic Combinatorics and Gröbner Bases (Repost)

Algorithmic Algebraic Combinatorics and Gröbner Bases by Mikhail Klin
English | PDF | 2009 | 315 Pages | ISBN : 3642019595 | 3.8 MB

This collection of tutorial and research papers introduces readers to diverse areas of modern pure and applied algebraic combinatorics and finite geometries with a special emphasis on algorithmic aspects and the use of the theory of Gröbner bases.
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Clifford Algebras with Numeric and Symbolic Computations

Posted By: AvaxGenius
Date: 9 Jun 2022 14:46:46
Clifford Algebras with Numeric and Symbolic Computations

Clifford Algebras with Numeric and Symbolic Computations by Rafał Abłamowicz
English | PDF | 1996 | 328 Pages | ISBN : 0817639071 | 27.6 MB

Clifford algebras are at a crossing point in a variety of research areas, including abstract algebra, crystallography, projective geometry, quantum mechanics, differential geometry and analysis. For many researchers working in this field in ma- thematics and physics, computer algebra software systems have become indispensable tools in theory and applications.
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Symmetry Analysis of Differential Equations with Mathematica®

Posted By: AvaxGenius
Date: 21 Feb 2022 22:24:46
Symmetry Analysis of Differential Equations with Mathematica®

Symmetry Analysis of Differential Equations with Mathematica® by Gerd Baumann
English | PDF | 2000 | 532 Pages | ISBN : 0387985522 | 61.5 MB

The purpose of this book is to provide the reader with a comprehensive introduction to the applications of symmetry analysis to ordinary and partial differential equations. The theoretical background of physics is illustrated by modem methods of computer algebra. The presentation of the material in the book is based on Mathematica 3.0 note­ books. The entire printed version of this book is available on the accompanying CD.
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Emergent Properties in Natural and Artificial Dynamical Systems

Posted By: AvaxGenius
Date: 24 Dec 2021 16:27:39
Emergent Properties in Natural and Artificial Dynamical Systems

Emergent Properties in Natural and Artificial Dynamical Systems by M.A. Aziz-Alaoui
English | PDF | 2006 | 277 Pages | ISBN : 3540348220 | 17.1 MB

An important part of the science of complexity is the study of emergent properties arising through dynamical processes in various types of natural and artificial systems. This is the aim of this book, which is the outcome of a discussion meeting within the first European conference on complex systems.
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Algorithms for Computer Algebra

Posted By: AvaxGenius
Date: 14 Nov 2021 10:54:52
Algorithms for Computer Algebra

Algorithms for Computer Algebra by K. O. Geddes
English | PDF | 1992 | 593 Pages | ISBN : 0792392590 | 20.2 MB

Algorithms for Computer Algebra is the first comprehensive textbook to be published on the topic of computational symbolic mathematics. The book first develops the foundational material from modern algebra that is required for subsequent topics. It then presents a thorough development of modern computational algorithms for such problems as multivariate polynomial arithmetic and greatest common divisor calculations, factorization of multivariate polynomials, symbolic solution of linear and polynomial systems of equations, and analytic integration of elementary functions.
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Intelligent Computer Mathematics (Repost)

Posted By: AvaxGenius
Date: 25 Jul 2021 01:48:30
Intelligent Computer Mathematics (Repost)

Intelligent Computer Mathematics: 12th International Conference, CICM 2019, Prague, Czech Republic, July 8–12, 2019, Proceedings by Cezary Kaliszyk
English | EPUB | 2019 | 307 Pages | ISBN : 3030232492 | 15.5 MB

This book constitutes the refereed proceedings of the 12th International Conference on Intelligent Computer Mathematics, CICM 2019, held in Prague, Czech Republic, in July 2019.
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Algorithmic and Symbolic Combinatorics: An Invitation to Analytic Combinatorics in Several Variables

Posted By: AvaxGenius
Date: 22 Dec 2020 18:04:05
Algorithmic and Symbolic Combinatorics: An Invitation to Analytic Combinatorics in Several Variables

Algorithmic and Symbolic Combinatorics: An Invitation to Analytic Combinatorics in Several Variables by Stephen Melczer
English | PDF | 2021 | 426 Pages | ISBN : 3030670791 | 5.7 MB

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.
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Singularities and Computer Algebra: Festschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday

Posted By: AvaxGenius
Date: 9 Sep 2020 01:02:41
Singularities and Computer Algebra: Festschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday

Singularities and Computer Algebra: Festschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday by Wolfram Decker
English | PDF(Repost),EPUB | 2017 | 396 Pages | ISBN : 3319288288 | 14 MB

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.
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