Table of Contents

  • Introduction of Computer Algebra(English postscript)

  • Fundamental Algorithms (English postscript)

  • The Euclidean Algorithm (English postscript)

  • Applications of the Euclidean Algorithm (English postscript)

  • Modular Algorithm and Interpolation (English postscript)

  • The Resultant and GCD Computation (English postscript)

  • Fast Multiplication (English postscript)

  • Newton Iteration (English postscript)

  • Fast Polynomial Evaluation and Interpolation (English postscript)

  • Fast Euclidean Algorithm (English postscript)

  • Fast Linear Algebra (English postscript)

  • Fourier Transform and Image Compression (English postscript)

  • Factoring Polynomials over Finite Fields (English postscript)

  • Hensel Lifting and Factoring Polynomials (English postscript)

  • Monomial Orderings and the Division Algorithm (English postscript)

  • Fast Linear Algebra (English postscript)

    Results of Rump's Problem

  • n=8

  • n=11

  • n=13

    • Maple Demo ( Maple Demonstration)