Computers and Mathematics

Table of Contents

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   Book Overview
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   Chapter 1 A Completion Procedure for Computing a Canonical Basis for a k -Subalgebra
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   Chapter 2 Summation of Harmonic Numbers
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   Chapter 3 Algorithm and Implementation for Computation of Jordan Form over A [ x 1 ,..., x m ]
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   Chapter 4 Fast Group Membership Using a Strong Generating Test for Permutation Groups
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   Chapter 5 Finite-Basis Theorems and a Computation-Integrated Approach to Obstruction Set Isolation
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   Chapter 6 Practical Determination of the Dimension of an Algebraic Variety
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   Chapter 7 A Computer Generated Census of Cusped Hyperbolic 3-Manifolds
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   Chapter 8 Classicality of Trigonal Curves of Genus Five
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    Chapter 9 Symmetric Matrices with Alternating Blocks
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    Chapter 10 Cohomology to Compute
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    Chapter 11 Use of symbolic methods in analyzing an integral operator
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    Chapter 12 Computer Algebraic Methods for Investigating Plane Differential Systems of Center and Focus Type
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    Chapter 13 An Example of Computer Enhanced Analysis
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    Chapter 14 An Algorithm for Symbolic Computation of Hopf Bifurcation
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    Chapter 15 Application of the REDUCE Computer Algebra System to Stability Analysis of Difference Schemes
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    Chapter 16 Signs of Algebraic Numbers
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    Chapter 17 Efficient Reduction of Quadratic Forms
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    Chapter 18 A Story About Computing with Roots of Unity
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    Chapter 19 Exact Algorithms for the Matrix-Triangularization Subresultant PRS Method
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    Chapter 20 Computation of Fourier Transforms on the Symmetric Group
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    Chapter 21 Integration in Finite Terms and Simplification with Dilogarithms: A Progress Report
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    Chapter 22 Why Integration is Hard
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    Chapter 23 Liouvillian Solutions of Linear Differential Equations with Liouvillian Coefficients
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    Chapter 24 Recipes for Classes of Definite Integrals Involving Exponentials and Logarithms
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    Chapter 25 Logic and Computation in MATHPERT: An Expert System for Learning Mathematics
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    Chapter 26 Representation of Inference in Computer Algebra Systems with Applications to Intelligent Tutoring
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    Chapter 27 Bunny Numerics
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    Chapter 28 Advanced Mathematics from an Elementary Viewpoint: Chaos, Fractal Geometry, and Nonlinear Systems
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    Chapter 29 Iterated Function Systems and the Inverse Problem of Fractal Construction Using Moments
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    Chapter 30 Working with ruled surfaces in solid modeling
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    Chapter 31 Using MACSyma to Calculate the Extrinsic Geometry of a Tube in a Riemannian Manifold
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    Chapter 32 Computer Algebra in the Theory of Ordinary Differential Equations of Halphen Type
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    Chapter 33 Symbolic Derivation of Equations for Mixed Formulation in Finite Element Analysis
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    Chapter 34 Semantics in Algebraic Computation
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    Chapter 35 Symbolic Computation with Symmetric Polynomials an Extension to MACSYMA
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    Chapter 36 Simultaneous Computations in Fields of Different Characteristics