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Book Categories |
Preface | ||
List of Contributors | ||
Ch. 1 | The Characteristic Set Method and Its Applications | 3 |
Ch. 2 | Some Algorithms for Zero Decomposition of Polynomial Systems | 43 |
Ch. 3 | The Eigenvalue Approach to Polynomial System Solving | 75 |
Ch. 4 | Solving the Yang-Baxter Equation by Wu's Method | 95 |
Ch. 5 | Wu's Method for Automated Geometry Theorem Proving and Discovering | 125 |
Ch. 6 | Mechanical Theorem Proving in Differential Geometry | 147 |
Ch. 7 | Points Elimination Methods for Geometric Problem Solving | 175 |
Ch. 8 | Clifford Algebra Approaches to Mechanical Geometry Theorem Proving | 205 |
Ch. 9 | Proving by Examples | 231 |
Ch. 10 | Search Methods Revisited | 253 |
Ch. 11 | First-Order Polynomial Based Theorem Proving | 273 |
Ch. 12 | Greatest Common Right Divisors, Least Common Left Multiples, and Subresultants of Ore Polynomials | 2ä |
Ch. 13 | Algebraic Factorization and GCD Computation | 3ä |
Ch. 14 | Conversion Between Implicit and Parametric Representations of Algebraic Varieties | 3ä |
Ch. 15 | Centers, Foci, and Limit Cycles for Polynomial Differential Systems | 36ä |
Ch. 16 | Exact Solitary Wave Solutions of Non-linear Evolution Equations | 389 |
Ch. 17 | Applications of Mechanical Methods to Partial Differential Equations | 409 |
Ch. 18 | Equation Solving in Robotics and Mechanisms | 433 |
Ch. 19 | Blending Several Implicit Algebraic Surfaces | 461 |
Ch. 20 | Geometric Theorem Provers and Algebraic Equation Solvers | 491 |
References | 507 | |
Index | 541 |
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