Literatura o obliczeniach symbolicznych
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Factorization of multivariate polynomials over finite fields
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M. Bronstein,
Symbolic integration tutorial
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kopia lokalna
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B. Buchberger,
Groebner bases: a short introduction for systems theorists
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B. F. Caviness, On canonical forms and simplification, J. Assoc.
Computing Machinery 17 (1970), 385-396
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G. E. Collins. Subresultants and reduced polynomial remainder
sequences. Journal of the ACM, 14 (1967) 128-142
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J. H. Davenport,
The Difficulties of Definite Integration
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J.H. Davenport, Y. Siret, E. Tournier,
Computer Algebra -- Systems and Algorithms for Algebraic Computation
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J. von zur Gathen and E. Kaltofen,
Factoring multivariate polynomials over finite fields.
Math. Comput. 45 (1985) 251-261
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R. J. Fateman,
Essays in algebraic simplification
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J-Ch. Faugere,
A new efficient algorithm for computing Groebner bases (F4)
- J. Gerhard,
Fast Modular Algorithms for Squarefree Factorization
and Hermite Integration
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On computing limits in a symbolic manipulation system
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D. J. Jeffrey, G. Labahn, M. v. Mohrenschildt, A. D. Rich,
Integration of the signum, piecewise and related Functions
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D. J. Jeffrey, A. D. Rich,
Recursive integration of piecewise-continuous functions
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D. J. Jeffrey, A. D. Rich,
Simplifying square roots of square roots by denesting
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E. Kaltofen,
Greatest common divisors of polynomials given by straight-line
programs.
J. ACM, 35 (1988) 231-264
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E. Kaltofen and V. Shoup,
Fast polynomial factorization over high algebraic extensions of
finite fields,
In Proc. 1997 Internat. Symp. Symbolic Algebraic Comput.
(ISSAC'97) pages 184-188
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E. Kaltofen and V. Shoup,
Subquadratic-time factoring of polynomials over finite fields,
Math. Comput., 67 (1998) 1179-1197
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- E. R. Kolchin, Differential Algebra and Algebraic Groups
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D. E. Knuth, Sztuka programowania, tom 2, Algorytmy seminumeryczne
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Mathematics, rozdziaĆ IX. Integration in finite terms
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M. M. Maza,
Integration of triangular sets methods in Aldor
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B. Naylor,
Polynomial GCD using straight line program representation
- M. Petkovsek, H.S. Wilf, D. Zeilberger, A=B,
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- M. J. Prelle, M. F. Singer, Elementary first integrals
of differential equations, Trans. AMS 279 (1983) 215-229
- D. Richardson, Some unsolvable problems involving elementary
functions of a real variable, J. of Symbolic Logic 33 (1968), 511-520
- D. Richardson,
How to recognize zero
- R. H. Risch, The problem of integration in finite terms, Trans. AMS
139 (1969) 167-189
- R. H. Risch, The solution of the problem of integration in finite
terms, Bull. Amer. Math. Soc. 76 (1970) 605-608
- R. H. Risch, Implicitly elementary integrals, Proc. AMS
57 (1976) 1-7
- R. H. Risch, Algebraic properties of
the elementary functions of analysis, Amer. J. Math. 101 (1979), 743-759
- M. Rosenlicht, On Liouville's theory of elementary functions,
Pacific J. Math 65 (1976) 485-492
- C. K. Yap, "Fundamental Problems in Algorithmic Algebra",
Oxford University Press, 1999.
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