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Symbolic Computation

Symbolic Computation
Author: Edward L. Green
Publisher: American Mathematical Soc.
Total Pages: 252
Release: 2001
Genre: Mathematics
ISBN: 9780821856222

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This volume presents the proceedings from the research conference, ''Symbolic Computation: Solving Equations in Algebra, Analysis, and Engineering,'' held at Mount Holyoke College (MA). It provides an overview of current research in symbolic computation as it applies to the solution of polynomial systems. The conference brought together pure and applied mathematicians, computer scientists, and engineers, who use symbolic computation to solve systems of equations or who develop thetheoretical background and tools needed for this purpose. Within this general framework, the conference focused on several themes: systems of polynomials, systems of differential equations, noncommutative systems, and applications.


Symbolic Computation

Symbolic Computation
Author: Edward L. Green
Publisher:
Total Pages: 240
Release: 2001
Genre: Algebra
ISBN: 9780821878767

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Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering

Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering
Author: Edward L. Green
Publisher: American Mathematical Soc.
Total Pages: 250
Release: 2001
Genre: Mathematics
ISBN: 0821826794

Download Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering Book in PDF, ePub and Kindle

This volume presents the proceedings from the research conference, Symbolic Computation: Solving Equations in Algebra, Analysis, and Engineering, held at Mount Holyoke College, USA. It provides an overview of contemporary research in symbolic computation as it applies to the solution of polynomial systems. The conference brought together pure and applied mathematicians, computer scientists, and engineers, who use symbolic computation to solve systems of equations or who develop the theoretical background and tools needed for this purpose. Within this general framework, the conference focused on several themes: systems of polynomials, systems of differential equations, noncommutative systems, and applications.


Symbolic Computation

Symbolic Computation
Author: Robert Grossman
Publisher: SIAM
Total Pages: 191
Release: 1989-01-01
Genre: Technology & Engineering
ISBN: 9781611971033

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This is a monograph that describes current research efforts in the application of symbolic computation to several areas, including dynamical systems, differential geometry, Lie algebras, numerical analysis, fluid dynamics, perturbation theory, control theory, and mechanics. The chapters, which illustrate how symbolic computations can be used to study various mathematical structures, are outgrowths of the invited talks that were presented at the NASA-Ames Workshop on The Use of Symbolic Methods to Solve Algebraic and Geometric Problems Arising in Engineering. More than 100 people participated in the two-day conference, which took place in January 1987 at the NASA-Ames Research Center in Moffett Field, California. The field of symbolic computation is becoming increasingly important in science, engineering, and mathematics. The availability of powerful computer algebra systems on workstations has made symbolic computation an important tool for many researchers.


Numerical and Symbolic Scientific Computing

Numerical and Symbolic Scientific Computing
Author: Ulrich Langer
Publisher: Springer Science & Business Media
Total Pages: 361
Release: 2011-11-19
Genre: Mathematics
ISBN: 3709107946

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The book presents the state of the art and results and also includes articles pointing to future developments. Most of the articles center around the theme of linear partial differential equations. Major aspects are fast solvers in elastoplasticity, symbolic analysis for boundary problems, symbolic treatment of operators, computer algebra, and finite element methods, a symbolic approach to finite difference schemes, cylindrical algebraic decomposition and local Fourier analysis, and white noise analysis for stochastic partial differential equations. Further numerical-symbolic topics range from applied and computational geometry to computer algebra methods used for total variation energy minimization.


Symbolic and Algebraic Computation

Symbolic and Algebraic Computation
Author: Patrizia Gianni
Publisher: Springer Science & Business Media
Total Pages: 564
Release: 1989-08-23
Genre: Computers
ISBN: 9783540510840

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The ISSAC'88 is the thirteenth conference in a sequence of international events started in 1966 thanks to the then established ACM Special Interest Group on Symbolic and Algebraic Manipulation (SIGSAM). For the first time the two annual conferences "International Symposium on Symbolic and Algebraic Computation" (ISSAC) and "International Conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes" (AAECC) have taken place as a Joint Conference in Rome, July 4-8, 1988. Twelve invited papers on subjects of common interest for the two conferences are included in the proceedings and divided between this volume and the preceding volume of Lecture Notes in Computer Science which is devoted to AAECC-6. This book contains contributions on the following topics: Symbolic, Algebraic and Analytical Algorithms, Automatic Theorem Proving, Automatic Programming, Computational Geometry, Problem Representation and Solution, Languages and Systems for Symbolic Computation, Applications to Sciences, Engineering and Education.


Computer Algebra Handbook

Computer Algebra Handbook
Author: Johannes Grabmeier
Publisher: Springer Science & Business Media
Total Pages: 656
Release: 2012-12-06
Genre: Computers
ISBN: 3642558267

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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.


Artificial Intelligence and Symbolic Computation

Artificial Intelligence and Symbolic Computation
Author: Jaques Calmet
Publisher: Springer Science & Business Media
Total Pages: 280
Release: 2006-09-13
Genre: Computers
ISBN: 3540397280

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This book constitutes the refereed proceedings of the 8th International Conference on Artificial Intelligence and Symbolic Computation, AISC 2006, held in Beijing, China in September 2006. The 18 revised full papers presented together with 4 invited papers were carefully reviewed and selected from 39 submissions. Based on heuristics and mathematical algorithmics, artificial intelligence and symbolic computation are two views and approaches for automating (mathematical) problem solving. The papers address all current aspects in the area of symbolic computing and AI: mathematical foundations, implementations, and applications in industry and academia. The papers are organized in topical sections on artificial intelligence and theorem proving, symbolic computation, constraint satisfaction/solving, and mathematical knowledge management.


Solving Polynomial Equations

Solving Polynomial Equations
Author: Alicia Dickenstein
Publisher: Springer Science & Business Media
Total Pages: 433
Release: 2005-04-27
Genre: Computers
ISBN: 3540243267

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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.


Algebraic Geometry and Geometric Modeling

Algebraic Geometry and Geometric Modeling
Author: Mohamed Elkadi
Publisher: Springer Science & Business Media
Total Pages: 252
Release: 2006-11-02
Genre: Mathematics
ISBN: 3540332758

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This book spans the distance between algebraic descriptions of geometric objects and the rendering of digital geometric shapes based on algebraic models. These contrasting points of view inspire a thorough analysis of the key challenges and how they are met. The articles focus on important classes of problems: implicitization, classification, and intersection. Combining illustrative graphics, computations and review articles this book helps the reader gain a firm practical grasp of these subjects.