The art of computer programming, volume 1 (3rd ed.): fundamental algorithms
The art of computer programming, volume 1 (3rd ed.): fundamental algorithms
The art of computer programming, volume 3: (2nd ed.) sorting and searching
The art of computer programming, volume 3: (2nd ed.) sorting and searching
A Subroutine for Computations with Rational Numbers
Journal of the ACM (JACM)
Subresultants and Reduced Polynomial Remainder Sequences
Journal of the ACM (JACM)
On Canonical Forms and Simplification
Journal of the ACM (JACM)
On Euclid's Algorithm and the Computation of Polynomial Greatest Common Divisors
Journal of the ACM (JACM)
On Euclid's Algorithm and the Theory of Subresultants
Journal of the ACM (JACM)
The Calculation of Multivariate Polynomial Resultants
Journal of the ACM (JACM)
Integer Arithmetic Algorithms for Polynomial Real Zero Determination
Journal of the ACM (JACM)
On the Problem of Recognizing Zero
Journal of the ACM (JACM)
Symbolic integration: the stormy decade
Communications of the ACM
Modular arithmetic and finite field theory: A tutorial
SYMSAC '71 Proceedings of the second ACM symposium on Symbolic and algebraic manipulation
Chinese remainder and interpolation algorithms
SYMSAC '71 Proceedings of the second ACM symposium on Symbolic and algebraic manipulation
Exact solution of linear equations
SYMSAC '71 Proceedings of the second ACM symposium on Symbolic and algebraic manipulation
Algorithms for partial fraction decomposition and rational function integration
SYMSAC '71 Proceedings of the second ACM symposium on Symbolic and algebraic manipulation
Algorithms for exact polynomial root calculation
Algorithms for exact polynomial root calculation
Algorithms for exact solution of systems of linear equations with polynomial coefficients
Algorithms for exact solution of systems of linear equations with polynomial coefficients
Algorithms for polynomial factorization.
Algorithms for polynomial factorization.
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This paper describes a graduate course curriculum, currently being taught, in the area of symbolic mathematical computation. The subject area is described and is then followed by a description of the courses. A bibliography for each course is also given. The relationship of the symbolic mathematical computation curriculum to an overall Computer Science curriculum is discussed. Ph.D. theses which have been written are listed and some topics for future research are outlined. The paper ends with a summary of the strengths and weakensses of the curriculum.