Analysis and Applications - ISAAC 2001

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Publisher : Springer Science & Business Media
ISBN 13 : 1475737416
Total Pages : 316 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Analysis and Applications - ISAAC 2001 by : Heinrich G.W. Begehr

Download or read book Analysis and Applications - ISAAC 2001 written by Heinrich G.W. Begehr and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of survey articles gives and idea of new methods and results in real and complex analysis and its applications. Besides several chapters on hyperbolic equations and systems and complex analysis, potential theory, dynamical systems and harmonic analysis are also included. Newly developed subjects from power geometry, homogenization, partial differential equations in graph structures are presented and a decomposition of the Hilbert space and Hamiltonian are given. Audience: Advanced students and scientists interested in new methods and results in analysis and applications.

Computer Mathematics

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Publisher : World Scientific
ISBN 13 : 9789812704436
Total Pages : 314 pages
Book Rating : 4.7/5 (44 download)

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Book Synopsis Computer Mathematics by : Ziming Li

Download or read book Computer Mathematics written by Ziming Li and published by World Scientific. This book was released on 2003 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers some of the most recent and significant advances in computer mathematics. Researchers, engineers, academics and graduate students interested in doing mathematics using computers will find it good reading as well as a valuable reference.

Computer Algebra in Scientific Computing

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Publisher : Springer Science & Business Media
ISBN 13 : 3540289666
Total Pages : 513 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Computer Algebra in Scientific Computing by : Victor G. Ganzha

Download or read book Computer Algebra in Scientific Computing written by Victor G. Ganzha and published by Springer Science & Business Media. This book was released on 2005-08-30 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 8th International Workshop on Computer Algebra in Scientific Computing, CASC 2005, held in Kalamata, Greece in September 2005. The 41 revised full papers presented were carefully reviewed and selected from 75 submissions. The topics addressed in the workshop cover all the basic areas of scientific computing as they benefit from the application of computer algebra methods and software: algebraic methods for nonlinear polynomial equations and inequalities, symbolic-numeric methods for differential and differential-algebraic equations, algorithmic and complexity considerations in computer algebra, algebraic methods in geometric modelling, aspects of computer algebra programming languages, automatic reasoning in algebra and geometry, complexity of algebraic problems, exact and approximate computation, parallel symbolic-numeric computation, Internet accessible symbolic and numeric computation, problem-solving environments, symbolic and numerical computation in systems engineering and modelling, computer algebra in industry, solving problems in the natural sciences, numerical simulation using computer algebra systems, mathematical communication.

Algebraic and Symbolic Computation Methods in Dynamical Systems

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Publisher : Springer Nature
ISBN 13 : 3030383563
Total Pages : 320 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Algebraic and Symbolic Computation Methods in Dynamical Systems by : Alban Quadrat

Download or read book Algebraic and Symbolic Computation Methods in Dynamical Systems written by Alban Quadrat and published by Springer Nature. This book was released on 2020-05-30 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims at reviewing recent progress in the direction of algebraic and symbolic computation methods for functional systems, e.g. ODE systems, differential time-delay equations, difference equations and integro-differential equations. In the nineties, modern algebraic theories were introduced in mathematical systems theory and in control theory. Combined with real algebraic geometry, which was previously introduced in control theory, the past years have seen a flourishing development of algebraic methods in control theory. One of the strengths of algebraic methods lies in their close connections to computations. The use of the above-mentioned algebraic theories in control theory has been an important source of motivation to develop effective versions of these theories (when possible). With the development of computer algebra and computer algebra systems, symbolic methods for control theory have been developed over the past years. The goal of this book is to propose a partial state of the art in this direction. To make recent results more easily accessible to a large audience, the chapters include materials which survey the main mathematical methods and results and which are illustrated with explicit examples.

Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra

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Publisher : Springer Nature
ISBN 13 : 3030445593
Total Pages : 415 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra by : Veronika Pillwein

Download or read book Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra written by Veronika Pillwein and published by Springer Nature. This book was released on 2020-09-28 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is centered around the research areas of combinatorics, special functions, and computer algebra. What these research fields share is that many of their outstanding results do not only have applications in Mathematics, but also other disciplines, such as computer science, physics, chemistry, etc. A particular charm of these areas is how they interact and influence one another. For instance, combinatorial or special functions' techniques have motivated the development of new symbolic algorithms. In particular, first proofs of challenging problems in combinatorics and special functions were derived by making essential use of computer algebra. This book addresses these interdisciplinary aspects. Algorithmic aspects are emphasized and the corresponding software packages for concrete problem solving are introduced. Readers will range from graduate students, researchers to practitioners who are interested in solving concrete problems within mathematics and other research disciplines.

Automated Deduction in Geometry

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Publisher : Springer
ISBN 13 : 354031363X
Total Pages : 221 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Automated Deduction in Geometry by : Hoon Hong

Download or read book Automated Deduction in Geometry written by Hoon Hong and published by Springer. This book was released on 2006-02-08 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the thoroughly refereed post-proceedings of the 5th International Workshop on Automated Deduction in Geometry, ADG 2004, held at Gainesville, FL, USA in September 2004. The 12 revised full papers presented aurvey current issues theoretical and methodological topics as well as applications thereof - in particular automated geometry theorem proving, automated geometry problem solving, problems of dynamic geometry, and an object-oriented language for geometric objects.

Computer Algebra Handbook

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Publisher : Springer Science & Business Media
ISBN 13 : 3642558267
Total Pages : 656 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Computer Algebra Handbook by : Johannes Grabmeier

Download or read book Computer Algebra Handbook written by Johannes Grabmeier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Handbook gives a comprehensive snapshot of a field at the intersection of mathematics and computer science with applications in physics, engineering and education. Reviews 67 software systems and offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education.

Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond

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Publisher : Cambridge University Press
ISBN 13 : 1316381382
Total Pages : 833 pages
Book Rating : 4.3/5 (163 download)

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Book Synopsis Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond by : Teo Mora

Download or read book Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond written by Teo Mora and published by Cambridge University Press. This book was released on 2016-04-01 with total page 833 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modular Algorithms in Symbolic Summation and Symbolic Integration

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Publisher : Springer Science & Business Media
ISBN 13 : 3540240616
Total Pages : 232 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Modular Algorithms in Symbolic Summation and Symbolic Integration by : Jürgen Gerhard

Download or read book Modular Algorithms in Symbolic Summation and Symbolic Integration written by Jürgen Gerhard and published by Springer Science & Business Media. This book was released on 2004-12 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together two streams of computer algebra: symbolic summation and integration on the one hand, and fast algorithmics on the other hand. In symbolic integration and summation, not too many algorithms with analyzed run times are known, and until now the mathematically oriented world of integration and summation and the computer science world of algorithm analysis have not had much to say to each other. The progress presented in this work towards overcoming this situation is threefold: - a clear framework for algorithm analysis with the appropriate parameters is provided, - modular algorithmic techniques are introduced in this area, and - almost optimal algorithms are presented for the basic problems.

Solving Polynomial Equation Systems

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Publisher : Cambridge University Press
ISBN 13 : 1107109639
Total Pages : 833 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Solving Polynomial Equation Systems by : Teo Mora

Download or read book Solving Polynomial Equation Systems written by Teo Mora and published by Cambridge University Press. This book was released on 2003 with total page 833 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers extensions of Buchberger's Theory and Algorithm, and promising recent alternatives to Gröbner bases.

Symbolic-Numeric Computation

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Publisher : Springer Science & Business Media
ISBN 13 : 3764379839
Total Pages : 391 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Symbolic-Numeric Computation by : Dongming Wang

Download or read book Symbolic-Numeric Computation written by Dongming Wang and published by Springer Science & Business Media. This book was released on 2007-01-22 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: The growing demand of speed, accuracy, and reliability in scientific and engineering computing has been accelerating the merging of symbolic and numeric computations. These two types of computation coexist in mathematics yet are separated in traditional research of mathematical computation. This book presents 27 research articles on the integration and interaction of symbolic and numeric computation.

Computer Algebra in Scientific Computing

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Publisher : Springer
ISBN 13 : 364232973X
Total Pages : 374 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Computer Algebra in Scientific Computing by : Vladimir P. Gerdt

Download or read book Computer Algebra in Scientific Computing written by Vladimir P. Gerdt and published by Springer. This book was released on 2012-08-30 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 14th International Workshop on Computer Algebra in Scientific Computing, CASC 2012, held in Maribor, Slovenia, in September 2012. The 28 full papers presented were carefully reviewed and selected for inclusion in this book. One of the main themes of the CASC workshop series, namely polynomial algebra, is represented by contributions devoted to new algorithms for computing comprehensive Gröbner and involutive systems, parallelization of the Gröbner bases computation, the study of quasi-stable polynomial ideals, new algorithms to compute the Jacobson form of a matrix of Ore polynomials, a recursive Leverrier algorithm for inversion of dense matrices whose entries are monic polynomials, root isolation of zero-dimensional triangular polynomial systems, optimal computation of the third power of a long integer, investigation of the complexity of solving systems with few independent monomials, the study of ill-conditioned polynomial systems, a method for polynomial root-finding via eigen-solving and randomization, an algorithm for fast dense polynomial multiplication with Java using the new opaque typed method, and sparse polynomial powering using heaps.

Applications of Computer Algebra

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Publisher : Springer
ISBN 13 : 3319569325
Total Pages : 513 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Applications of Computer Algebra by : Ilias S. Kotsireas

Download or read book Applications of Computer Algebra written by Ilias S. Kotsireas and published by Springer. This book was released on 2017-07-26 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Applications of Computer Algebra (ACA) conference covers a wide range of topics from Coding Theory to Differential Algebra to Quantam Computing, focusing on the interactions of these and other areas with the discipline of Computer Algebra. This volume provides the latest developments in the field as well as its applications in various domains, including communications, modelling, and theoretical physics. The book will appeal to researchers and professors of computer algebra, applied mathematics, and computer science, as well as to engineers and computer scientists engaged in research and development.

Gröbner Bases in Symbolic Analysis

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Publisher : Walter de Gruyter
ISBN 13 : 9783110193237
Total Pages : 362 pages
Book Rating : 4.1/5 (932 download)

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Book Synopsis Gröbner Bases in Symbolic Analysis by : Markus Rosenkranz

Download or read book Gröbner Bases in Symbolic Analysis written by Markus Rosenkranz and published by Walter de Gruyter. This book was released on 2007 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains survey articles and original research papers, presenting the state of the art on applying the symbolic approach of Gröbner bases and related methods to differential and difference equations. The contributions are based on talks delivered at the Special Semester on Gröbner Bases and Related Methods hosted by the Johann Radon Institute of Computational and Applied Mathematics, Linz, Austria, in May 2006.

The Mathematica GuideBook for Symbolics

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Publisher : Springer Science & Business Media
ISBN 13 : 0387288155
Total Pages : 1490 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis The Mathematica GuideBook for Symbolics by : Michael Trott

Download or read book The Mathematica GuideBook for Symbolics written by Michael Trott and published by Springer Science & Business Media. This book was released on 2007-04-03 with total page 1490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides reader with working knowledge of Mathematica and key aspects of Mathematica symbolic capabilities, the real heart of Mathematica and the ingredient of the Mathematica software system that makes it so unique and powerful Clear organization, complete topic coverage, and an accessible writing style for both novices and experts Website for book with additional materials: http://www/MathematicaGuideBooks.org Accompanying DVD containing all materials as an electronic book with complete, executable Mathematica 5.1 compatible code and programs, rendered color graphics, and animations

The Numerical Solution of Systems of Polynomials Arising in Engineering and Science

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Publisher : World Scientific
ISBN 13 : 9812561846
Total Pages : 425 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis The Numerical Solution of Systems of Polynomials Arising in Engineering and Science by : Andrew John Sommese

Download or read book The Numerical Solution of Systems of Polynomials Arising in Engineering and Science written by Andrew John Sommese and published by World Scientific. This book was released on 2005 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by the founders of the new and expanding field of numerical algebraic geometry, this is the first book that uses an algebraic-geometric approach to the numerical solution of polynomial systems and also the first one to treat numerical methods for finding positive dimensional solution sets. The text covers the full theory from methods developed for isolated solutions in the 1980's to the most recent research on positive dimensional sets.

Computer Mathematics: Proceedings Of The Sixth Asian Symposium (Ascm'03)

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Publisher : World Scientific
ISBN 13 : 9814487090
Total Pages : 310 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Computer Mathematics: Proceedings Of The Sixth Asian Symposium (Ascm'03) by : Ziming Li

Download or read book Computer Mathematics: Proceedings Of The Sixth Asian Symposium (Ascm'03) written by Ziming Li and published by World Scientific. This book was released on 2003-03-12 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers some of the most recent and significant advances in computer mathematics. Researchers, engineers, academics and graduate students interested in doing mathematics using computers will find it good reading as well as a valuable reference.