Cover image for Computer Mathematics : Proceedings of the Fifth Asian Symposium (Ascm 2001).
Computer Mathematics : Proceedings of the Fifth Asian Symposium (Ascm 2001).
Title:
Computer Mathematics : Proceedings of the Fifth Asian Symposium (Ascm 2001).
Author:
Shirayanagi, Kiyoshi.
ISBN:
9789812799661
Personal Author:
Physical Description:
1 online resource (241 pages)
Series:
Lecture Notes Series on Computing ; v.9

Lecture Notes Series on Computing
Contents:
CONTENTS -- Preface -- Invited Talks -- Finding All the Solutions of Cyclic 9 Using Grobner Basis Techniques -- On the Complexity of Computing Determinants (Extended Abstract) -- Papers -- Investigating the Growth of Length of Intermediate Expressions in Polynomial Sequences Using a Maple Program -- Giesbrecht's Algorithm the HFE Cryptosystem and Ore's p8-polynomials -- Solution of a Linear Differential Equation in the Form of Power Series and its Application -- A New Algorithm for Real Roots of a Zero-Dimensional System by a Linear Separating Map -- On the Specification for Solvers of Polynomial Systems -- On the Construction of a PSE for GCD Computation -- OMEI: An Open Mathematical Engine Interface -- Polynomial Solutions of Algebraic Differential Equations -- The Design and Implementation of OpenXM-RFC 100 and 101 -- FIGUE: Mathematical Formula Layout with Interaction and MathML Support -- Symbolic-Numeric Computations of Wu's Method: Comparison of the Cut-off Method and the Stabilization Techniques -- An Inductive Approach to Formalizing Notions of Number Theory Proofs -- Application of Grobner Basis and Quantifier Elimination in Engineering Design: An Introduction for Engineers -- JavaMath: An API for Internet Accessible Mathematical Services -- Deformation of Double Cusp Singularity on an Irreducible Quartic Curve by Using the Computer Algebra System Risa/Asir -- A Generalized Algorithm for Computing Characteristic Sets -- Deciding Inclusion of Differential Quasi-Algebraic Varieties -- Action Refinement for Timed LOTOS -- Symbolic Computation and Abundant New Families of Exact Solutions for the Coupled Modified KdV-KdV Equation.

Exact Analytical Solutions to a Set of Coupled Nonlinear Differential Equations Using Symbolic Computation -- An Effective Algorithm for Isolating the Real Solutions of Semi-Algebraic Systems and its Applications -- C-D Integrable System and Computer Aided Solver for Differential Equations -- Author Index.
Abstract:
This volume covers some of the most recent and significant advances in computer mathematics, including algebraic, symbolic, numeric and geometric computation, automated mathematical reasoning, mathematical software and computer-aided geometric design. Researchers, engineers, academics and graduate students interested in doing mathematics using computers will find this volume good reading and a valuable reference. Contents: Solution of a Linear Differential Equations in the Form of Power Series and Its Application (T Kitamoto); On the Specification for Solvers of Polynomial Systems (D Lazard); OMEI: An Open Mathematical Engine Interface (W Liao et al.); Polynomial Solutions of Algebraic Differential Equations (Y Ma & X-S Gao); FIGUE: Mathematical Formula Layout with Interaction and MathML Support (H Naciri & L Rideau); An Inductive Approach to Formalizing Notions of Number Theory Proofs (T M Rasmussen); A Generalized Algorithm for Computing Characteristic Sets (D Wang); Action Refinement for Timed LOTOS (J Wu); Exact Analytical Solutions to a Set of Coupled Nonlinear Differential Equations Using Symbolic Computation (R-X Yao & Z-B Li); and other papers. Readership: Researchers, engineers, academics and graduate students in numerical & computational mathematics, theoretical computer science, mathematical modeling, analysis & differential equations, software engineering/programming, algebra & number theory, and logic.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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