Компьютерная алгебра
- Abbott, Bronstein, Mulders. Fast computation of integer determinans(9s).ps.gz (63.7К)
- Algebraic numbers
- Abbott. Recovery of algebraic numbers from p-adic calculations(T)(9s).djvu (238.5К)
- Bradford. Some results on the defect of algebraic numbers (SIGSAM1989)(T)(7s).djvu (157.5К)
- Cantor et al. Continued fraction algorithm for real algebraic numbers (MC 1972)(T)(8s).djvu (68.8К)
- Davenport, Trager. Factoring polynomials over algebraic domains (1981)(T)(6s).djvu (163.1К)
- Encarnacion. Factoring polynomials over algebraic numbers(T)(6s).djvu (166.2К)
- Johnson. Real algebraic number computation using intervals (ISSAC92)(T)(11s).djvu (250.1К)
- Kaltofen, Shoup. Fast polynomial factoring over high algebraic extensions(T)(5s).djvu (155.4К)
- Lecerf. Dynamic evaluation and real closure. Implementation in Axiom (1996)(42s).ps.gz (103.6К)
- Manocha, Canny. Multipolynomial resultant algorithms (JSC93)(T)(24s).djvu (519.9К)
- Mishra, Pedersen. Aritmetic with real algebraic numbers (1990)(T)(7s).djvu (189.6К)
- Monagan. Signature functions for computations with algebraic numbers(T)(6s).djvu (162.6К)
- Nauheim. Lifting for algebraic equations with bad reduction (JSC98)(T)(23s).djvu (163.2К)
- Pohst. Validated computing in algebraic number fields (JSC 1997)(T)(9s).djvu (70.1К)
- Rioboo. Faster real algebraic numbers (ISSAC02)(T)(21s).djvu (151.3К)
- Rioboo. Real algebraic closure of ordered field, in Axiom (ISSAC92)(T)(10s).djvu (202.2К)
- Rump. Sign of algebraic numbers (ACMSAC76)(T)(4s).djvu (65.0К)
- Sakkalis T. Signs of algebraic numbers(L)(T)(3s).djvu (87.1К)
- Shoup. Fast polynomial factorization over finite field(36s).ps.gz (103.7К)
- Strzebonski. Computing with complex algebraic numbers. JSC 1997(T)(10s).djvu (75.3К)
- Trevisan. Practical factorization of polynomials over finite fields(T)(10s).djvu (237.8К)
- Weinberger, Rothshild. Factoring polynomials over algebraic numbers 1976(T)(16s).djvu (215.0К)
- Yun. Algebraic algorithms using p-adic numbers(T)(12s).djvu (211.5К)
- CAS systems
- Bosma et al. Magma algebra system I. User language (JSC 1997)(T)(31s).djvu (232.2К)
- Buchberger. CAS not an end of mathematics(7s).pdf (871.6К)
- Cooperman. STAR MPI parallel library to interactive symbolic algebra(7s).ps.gz (43.5К)
- Cooperman. Semantic matching for computer algebra(T)(3s).djvu (112.5К)
- Fateman, Caspi. Parsing TeX into mathematics(T)(25s).djvu (152.9К)
- Fateman, Hayden. Speeding up symbolic mathematics(6s).ps.gz (44.4К)
- Fateman. Design and construction of CAS (94)(11s).ps.gz (45.3К)
- Fateman_Problem_solving_with_CAS(29s).pdf (148.6К)
- Fickas. Design issues in rule-based systems(T)(8s).djvu (355.6К)
- Hayes-Roth. Rule-based systems(T)(12s).djvu (552.8К)
- Kazimierczak. Approach to natural language processing using rules(T)(8s).djvu (291.5К)
- Lewis. Comparison of CAS (maple code).txt.gz (38.1К)
- Lewis. Comparison of polynomial CAS(6s).ps.gz (55.2К)
- M. Wester#s 1994 CAS Test suite in Mupad(23s).ps.gz (51.9К)
- M. Wester. CAS Benchmark 1999(40s).ps.gz (219.3К)
- Maxima documentation(279s).pdf (867.1К)
- Noro. Risa-asir - a CAS(T)(10s).djvu (162.5К)
- Problem solving with Maple, a handbook (1998)(157s).ps.gz (599.6К)
- Problem solving, calculus with Maple (1998) (mws).zip (277.1К)
- SACLIB 1.1 manual(79s).ps.gz (144.4К)
- Schreiner. PACLIB, parallel functional programming for CAS(318s).ps.gz (828.6К)
- Unsolved problems in CAS(T)(29s).djvu (241.0К)
- Using Maple in Calculus(40s).ps.gz (143.4К)
- Using Maple in linear algebra (notes)(66s).ps.gz (115.1К)
- Zimmer. SIMATH, a CAS for number theory (ISSAC 1997)(T)(11s).djvu (261.4К)
- Cohen H. (ed.) Algorithmic number theory (Proc. ANTS-II, Springer 1996)(selected papers)(L)(T)(54s).djvu (936.1К)
- Complex variable
- Aslaksen. Complex analysis and CAS 1, exponentials 1996(T)(8s).djvu (40.5К)
- Aslaksen. Complex analysis and CAS 2, using Corless notation(T)(8s).djvu (42.3К)
- Bradford. Simplification of multiple-valued functions (DISCO92, LNCS 721)(L)(T)(5s).djvu (90.3К)
- Corless et al. Arccoth need not be uncouth(27s).ps.gz (95.6К)
- Corless et al. Branch cuts for trigonometrics(24s).ps.gz (87.2К)
- Corless et al. Lambert W function(32s).ps.gz (97.4К)
- Corless et al. Reasoning about complex elementary functions(12s).ps.gz (70.2К)
- Corless, Jeffrey. Graphing Riemann surfaces(T)(C)(7s).djvu (246.0К)
- Corless, Jeffrey. Unwinding number(8s).ps.gz (72.1К)
- Corless. Exercises on W function(1s).ps.gz (15.8К)
- CorlessJeffreyKnuth. Sequence of series for the Lambert W function(10s).ps.gz (94.6К)
- Davenport et al. Defining branch cuts for trig and other functions(27s).ps.gz (95.6К)
- Dingle, Fateman. Branch cuts in computer algebra(8s).ps.gz (54.1К)
- Computer algebra in scientific computing (CASC1999) TOC(L)(T)(3s).djvu (38.4К)
- Computer algebra in scientific computing (CASC2000) TOC(L)(T)(3s).djvu (37.1К)
- Davenport J.H. (ed.) Proc. EUROCAL 87 (selected papers)(LNCS 378, 1987)(L)(T)(30s).djvu (620.6К)
- Determining zero
- Burnikel et al. A strong computable separation bound for arithmetic expressions with radicals (Algorithmica 2000)(13s).pdf (83.0К)
- Chow. What is a closed-form number(11s).ps.gz (61.7К)
- Hur, Davenport. Exact zero determination for algebraic numbers(T)(6s).djvu (78.5К)
- Johnson S.C. Problem of recognizing zero (JACM 18, 559) (1971)(T)(7s).djvu (86.6К)
- Johnson S.C. Problem of recognizing zero (preprint)(T)(4s).djvu (59.1К)
- Langley, Richardson. What can we do with a solution (cca2002)(14s).ps.gz (102.0К)
- Richardson D. Simplified method for recognizing zero in constants (ISSAC95)(T)(6s).djvu (158.8К)
- Richardson, El-Sonbaty. Zero recognition of polynomial terms(11s).ps.gz (68.0К)
- Richardson, Fitch. Identity of elementary functions and constants (ISSAC94)(T)(6s).djvu (160.8К)
- Richardson, Langley. Some obervations about familiar numbers (2002)(14s).ps.gz (55.3К)
- Richardson. How to recognize zero (JSC24, 1997)(T)(19s).djvu (139.3К)
- Richardson. Recognizing zero(23s).ps.gz (93.9К)
- Richardson. Testing the uniformity conjecture(23s).ps.gz (89.3К)
- Richardson. Testing the uniformity conjecture.dvi.gz (33.9К)
- Richardson. The elementary constant problem (ISSAC92)(T)(9s).djvu (199.2К)
- Richardson. The uniformity conjecture(21s).ps.gz (91.6К)
- Richardson. The uniformity conjecture.dvi.gz (31.5К)
- Shackell, Van der Hoeven. Complexity bounds for zero-testing of polynomials(15s).ps.gz (157.2К)
- Van der Hoeven. Automatic numerical expansions 1994(14s).ps.gz (59.2К)
- Van der Hoeven. Complexity bounds for zero-test algorithms(14s).ps.gz (155.1К)
- Van der Hoeven. Witness for zero-testing(12s).ps.gz (130.0К)
- Van der Hoeven. Zero-test algorithms for functions(14s).ps.gz (155.2К)
- Wang. Undecidability of zeros of elementary functions(T)(4s).djvu (72.5К)
- Diophantine equations
- Aardal, Hurkens, Lenstra. Solving a system of diophantine equations with bounds on the variables (1998)(20s).ps.gz (80.1К)
- Bennett. Solving families of simultaneous Pell equations(5s).ps.gz (63.2К)
- Blankinship. Algorithm 288, Solution of linear Diophantine systems (CACM 1966)(T)(1s).djvu (63.5К)
- Cucker et al. Algorithm for diophantine equations in one variable. JSC 1999(T)(9s).djvu (70.7К)
- Guisti et al. Lower bounds for diophantine approximations (JPAA1997)(T)(41s).djvu (508.9К)
- Mulders, Storjohann. Solving linear diophantine systems (ISSAC99)(T)(8s).djvu (321.3К)
- Peck. Algorithm 139, solutions of Diophantine equation (CACM 1962)(T)(8s).djvu (239.7К)
- Poulakis, Voskos. Genus 0 diophantine equations with 2 valuations (JSC2002)(T)(13s).djvu (99.8К)
- Poulakis, Voskos. Solution of genus 0 Diophantine equations (JSC2000)(T)(10s).djvu (84.5К)
- Stroeker, Tzanakis. Computing all integer solutions of general elliptic equation (2000)(9s).ps.gz (75.6К)
- Stroeker, Tzanakis. Computing all integer solutions of genus 1 equation(T)(20s).djvu (220.4К)
- Stroeker, de Weger. Solving elliptic diophantine equations. General cubic case (1999)(28s).ps.gz (160.1К)
- Tzanakis. Solution of two Pell equations(20s).ps.gz (114.7К)
- Tzanakis. Solving elliptic diophantine equations. Quartic eqs.(1994)(32s).ps.gz (148.6К)
- Feinsilver, Schott. Computing the adjoint representation of Lie group. JSC 1998(T)(10s).djvu (59.3К)
- Filaseta, Schinzel. Irreducibility and GCD algorithms for sparse polynomials(14s).pdf (105.3К)
- Fortuna et al. Computing the topology of orientable real algebraic surfaces (JSC03)(T)(22s).djvu (196.5К)
- Freire et al. Symbolic computation of center manifolds (ISSAC1988)(L)(T)(7s).djvu (207.5К)
- Gil. Jordan form of matrices(T)(8s).djvu (207.6К)
- Groebner bases
- Apel, Klaus. Data representation in FELIX (DISCO92)(2 pages with Groebner basis examples)(L)(T)(2s).djvu (36.6К)
- Bachmann, Schoenemann. Monomial representations for Groebner bases (ISSAC98)(T)(8s).djvu (125.8К)
- Bikker. Bezout#s method for computing the resultant (1995)(21s).ps.gz (76.7К)
- Bronstein. Gsolve - faster Groebner bases solver(T)(3s).djvu (85.3К)
- Caboara M. Optimization of basic algorithms in commutative algebra (phd thesis, 1998)(118s).dvi.gz (222.2К)
- Caboara M. Optimization of basic algorithms in commutative algebra (phd thesis, 1998)(118s).ps.gz (395.7К)
- Caboara, Kreuzer, Robbiano. Efficient computation of minimal set of critical pairs in Groebner bases (2003)(27s).dvi.gz (47.1К)
- Caboara, Kreuzer, Robbiano. Efficient computation of minimal set of critical pairs in Groebner bases (2003)(27s).ps.gz (139.5К)
- Caboara. Dynamic algorithm for Groebner bases (ISSAC93)(T)(9s).djvu (234.4К)
- Chyzak. Fonctions holonome et calcul formel (PhD Thesis, fr)(230s).ps.gz (509.3К)
- Chyzak. Groebner bases and symbolic summation and integration(34s).ps.gz (229.2К)
- Chyzak. Holonomic functions in computer algebra (slides, talk)(99s).ps.gz (216.5К)
- Chyzak. Holonomic systems and automatic proofs of identities. RR-2371(64s).ps.gz (196.9К)
- Chyzak. Seminar on computer algebra (1999, 2000)(154s).ps.gz (702.0К)
- Collins. Multivariate polynomial resultants(T)(18s).djvu (256.4К)
- Corless, Gianni, Trager. Factorization of polynomial systems (ISSAC97)(T)(8s).djvu (229.0К)
- Corless. Lecture notes on Groebner bases(6s).ps.gz (63.2К)
- Czapor. Heuristic selection strategy for Groebner bases (ISSAC91)(T)(10s).djvu (184.3К)
- Czichowski. Groebner bases and integration of rational functions (JSC 1995)(T)(5s).djvu (96.4К)
- Faugere. New efficient algorithm for Groebner bases (JPAA1999)(T)(28s).djvu (406.8К)
- Fortuna, Gianni, Trager. Radical of polynomial ideals over arbitrary fields (ISSAC01)(T)(5s).djvu (235.7К)
- Gerdt. Relation between Pommaret and Janet bases (CASC2000)(L)(T)(8s).djvu (202.6К)
- Gianni, Trager. GCDs and factoring multivariate polynomials using Groebner bases (EUROCAL85)(L)(T)(2s).djvu (45.5К)
- Giovini et al. Selection strategies in Buchberger algorithm (ISSAC91)(T)(6s).djvu (168.8К)
- Giovini et al. Sugar cube selection strategies for Buchberger algorithm (ISSAC91)(7s).ps.gz (54.8К)
- Goebel, Maier. Remarks on comprehensive Groebner and SAGBI bases (CASC2000)(L)(T)(7s).djvu (191.7К)
- Hemmecke. Loesung der Systemen mit kontinuerlichen Symmetrien (phd thesis) (de)(67s).pdf (408.9К)
- Hubert. General solution of ordinary differential equation (ISSAC96)(T)(7s).djvu (173.6К)
- Kahoui. Elementary subresultants theory. JSC2003(12s).pdf (135.9К)
- LaScala. Buchberger algorithm for complexes (ISSAC94)(T)(5s).djvu (133.1К)
- Lakshman. Complexity of Groebner basis of radical ideal (1990)(T)(9s).djvu (205.7К)
- Lecerf. Resolution des systemes algebriques (phd these)(fr)(216s).ps.gz (600.8К)
- Mandache. Groebner bases computation and Gaussian elimination (phd thesis)(89s).ps.gz (169.5К)
- Marche. Rewriting, Knuth-Bendix and Groebner bases computations(16s).ps.gz (55.7К)
- Marinari et al. Groebner duality and multiplicities in polynomial systems(T)(13s).djvu (314.1К)
- Marinari, Moeller, Mora. Groebner duality and multiplicities in polynomial systems (ISSAC95)(13s).ps.gz (95.9К)
- Marinari, Moeller, Mora. Multiplicities in polynomial systems (TAMS96)(30s).ps.gz (139.5К)
- Minimair. Resultants of composed polynomials (phd thesis, 2001)(148s).ps.gz (285.4К)
- Mora T. Applaying Macaulay#s Trick to write Groebner basis (J.Appl.Alg, 2003)(13s).ps.gz (83.3К)
- Mora T. Eagon, Northcott, Groebner (1998)(14s).ps.gz (69.2К)
- Mora, Moeller, Traverso. Groebner bases using syzygies (ISSAC92)(9s).ps.gz (67.7К)
- Mora, Rossi. Hilbert function for primary ideal 1995(15s).ps.gz (73.5К)
- Mora. Introduction to commutative and noncommutative Groebner bases (1994)(28s).ps.gz (127.1К)
- Mora. Polynomial system solving survey 1994(23s).ps.gz (93.3К)
- Moses, Yun. The EZ polynomial GCD algorithm(T)(8s).djvu (158.1К)
- Richardson D. Zero structure theorem for exp-polynomials (ISSAC93)(T)(8s).djvu (160.1К)
- Saxena T. Variable elimination using resultants (Ph. D. thesis 1997)(179s).ps.gz (263.9К)
- Smirnov A. An Algorithm to Construct Groebner Bases for Solving Integration by Parts Relations (arXiv hep-ph_0602078, 2006)(10s).pdf (128.8К)
- Szanto. Complexity of Wu-Ritt decomposition(T)(11s).djvu (268.2К)
- Wang D. Prime decomposition of radicals of polynomial ideals (1998)(T)(8s).djvu (165.6К)
- Windsteiger. Groebner bases and syzygy completion (master-thesis)(152s).ps.gz (207.5К)
- Winkler, Buchberger et al. Algorithm 628. Groebner bases for polynomial ideals(T)(13s).djvu (142.6К)
- Ilyin, Kryukov. Symbolic simplification of tensor expressions(T)(5s).djvu (100.5К)
- Integration
- Abbott. Solving the Risch differential equation (EUROCAL87)(L)(T)(2s).djvu (77.5К)
- Adamchik, Marichev. Integration of hypergeometric-type functions(T)(13s).djvu (197.2К)
- Almquist, Zeilberger. Method of differentiating under the integral sign (JSC1990)(L)(T)(11s).djvu (219.8К)
- Bertrand. Computation of hyperelliptic integrals(T)(5s).djvu (114.3К)
- Bronstein, Petkovsek. Intro to pseudo-linear algebra(29s).ps.gz (94.8К)
- Bronstein, Salvy. Full partial fraction decomposition(T)(4s).djvu (77.1К)
- Bronstein. Algorithm for integration of elementary functions (Eurocal87, LNCS 378)(L)(T)(4s).djvu (140.0К)
- Bronstein. Bibliography (from math.sci.net)(T)(11s).djvu (66.3К)
- Bronstein. Fast reduction of the Risch differential equation (ISSAC88, LNCS 358)(L)(T)(5s).djvu (124.3К)
- Bronstein. Formulas for series computations (AAECC1992)(L)(T)(7s).djvu (205.5К)
- Bronstein. Integration and diff. equations in CAS (tutorial, 1992)(17s).ps.gz (71.5К)
- Bronstein. Integration of elementary functions (JSC1990)(L)(T)(29s).djvu (959.3К)
- Bronstein. Lazy Hermite reduction (integration of algebraic functions)(16s).ps.gz (121.6К)
- Bronstein. Linear ODEs, breaking through order 2 barrier (ISSAC92)(7s).ps.gz (51.6К)
- Bronstein. SUM-It, a computer algebra library (96)(13s).ps.gz (75.2К)
- Bronstein. Symbolic integration tutorial (ISSAC98)(35s).ps.gz (146.0К)
- Bronstein. The transcendental Risch differential equation (JSC1990)(L)(T)(6s).djvu (179.3К)
- Bronstein. Unification of Liouvillian extensions (AAECC1990)(L)(T)(11s).djvu (358.2К)
- Carlson. Symbolic integration of elliptic integrals. JSC 1999(T)(15s).djvu (107.4К)
- Cherry, Caviness. Integration in finite terms with special functions (EUROSAM84)(L)(T)(5s).djvu (189.8К)
- Cherry. Integration in finite terms with error function (JSC 1985)(L)(T)(11s).djvu (284.9К)
- Davenport J.H. On the integration of algebraic functions (LNCS 102, Springer, 1981)(T)(199s).djvu (1.0М)
- Davenport, Trager. Parallel Risch algorithm II(T)(7s).djvu (99.6К)
- Davenport. y# + fy = g (EUROSAM84)(L)(T)(6s).djvu (175.3К)
- Diaz-Toca. Squarefree decomp. of polynomials with parameter and integration(T)(19s).djvu (118.2К)
- Fateman. Improving exact integrals from CAS(T)(15s).djvu (93.1К)
- Geddes. Risch-Norman integration method(T)(6s).djvu (144.1К)
- Horowitz. Algorithms for partial fraction decomposition and integration of rational functions(T)(17s).djvu (228.1К)
- Jeffrey et al. Integration of signum, piecewise functions(7s).ps.gz (48.7К)
- Jeffrey, Rich. Evaluation of trig integrals with discontinuities(T)(12s).djvu (143.2К)
- Jeffrey, Rich. Recursive integration of piecewise functions(T)(5s).djvu (63.8К)
- Jeffrey. Rectifying transform, integration of trigonometrics. JSC 1997(T)(11s).djvu (85.3К)
- Jirstrand M. Some finiteness issues in differential algebraic systems theory (1994)(16s).ps.gz (99.0К)
- Kaltofen. A note on the Risch differential equation (EUROSAM84)(L)(T)(5s).djvu (182.9К)
- Knowles. Integration of transcendental Liouvillian functions. Part 1 (JSC1992)(L)(T)(10s).djvu (382.9К)
- Knowles. Integration of transcendental functions. JACM 1986(T)(6s).djvu (115.0К)
- Knowles. Integration with error functions, part II. JSC 1993(T)(13s).djvu (242.3К)
- Lazard, Rioboo. Integration of rational functions, a new formula (JSC1990)(T)(2s).djvu (82.0К)
- Lazard, Rioboo. Integration of rational functions. Rational computation of logarithmic part (JSC 1990)(L)(T)(2s).djvu (59.5К)
- Marchisotto, Zakeri. Invitation to integration in finite terms (Coll.Math.J. 25, p295, 1994)(600dpi)(T)(14s).djvu (170.4К)
- Moses. Historic approaches to symbolic integration(T)(13s).djvu (224.2К)
- Moses. Introduction to the Risch algorithm(T)(4s).djvu (78.8К)
- Moses. Symbolic integration (phd thesis)(T)(268s).djvu (2.1М)
- Moses. Towards a general theory of special functions(T)(5s).djvu (103.9К)
- Mulders. Subresultans and Trager formula in integration. JSC 1997(T)(6s).djvu (42.0К)
- Norman. Critical pair completion integration algorithm(T)(5s).djvu (187.2К)
- Piquette J.C. Symbolic evaluation of indefinite integrals containing special functions (J.Symb.Comp.11, p231, 1991)(T)(19s).djvu (299.1К)
- Rosenlicht M. On Liouville#s theory of elementary functions (Pacif.J.Math. 65, p485, 1976)(600dpi)(T)(8s).djvu (137.7К)
- Singer, Saunders, Caviness. Extension of Liouville#s theorem on integration (SIAM J Comp 1985).pdf)(L)(T)(13s).djvu (422.4К)
- Takayama. Groebner bases, integration, transcendental functions (ISSAC90)(T)(5s).djvu (117.2К)
- Trager. Algebraic factoring and integration of rational functions(T)(8s).djvu (248.2К)
- Trager. Integration of algebraic functions (phd thesis)(T)(83s).djvu (633.6К)
- Ulmer, Weil. Note on Kovacic algorithm (JSC1996)(T)(22s).djvu (172.2К)
- Ulmer. Liouvillian solutions of 3rd order ODEs (JSC2003)(T)(35s).djvu (275.2К)
- Vermaseren J. Introduction to FORM language (DESY course, free web version, 2005)(41s).ps.gz (107.0К)
- Vermaseren J. The FORM version of MINCER for massless three-loop Feynman diagrams (DESY course, free web version, 2005)(13s).ps.gz (75.1К)
- Wang. P-adic algorithm for univariate partial fractions(T)(6s).djvu (133.7К)
- Wang. Symbolic definite integration (1971)(T)(191s).djvu (1.1М)
- Yakubovich, Luchko. Integrals and series wrt parameters of hypergeoms(T)(10s).djvu (137.0К)
- Yun. Analysis of square-free decomposition algorithms(T)(10s).djvu (115.1К)
- van Hoeij. Minimal polynomial of Abel solution to ODE(11s).ps.gz (69.1К)
- Janssen R. (ed.) Trends in computer algebra. Proc. Neuenahr 1987 (selected papers)(LNCS 296)(L)(T)(48s).djvu (938.0К)
- Jones. Exposition of undecidability (1974)(T)(16s).djvu (225.7К)
- Kavian et al. Application of genetic algorithms for tensor manipulation 1997(T)(8s).djvu (216.4К)
- Kavian et al. MapleTensor progress report 1996(T)(8s).djvu (172.7К)
- Leclerc. Algebraic combinatorics with maple and ace(7s).ps.gz (89.0К)
- Lie symmetries
- Carminati, Vu. Lie symmetries in symbolic computation(T)(22s).djvu (147.8К)
- Hereman and Goektash. Integrable systems and Lie symmetries (chapter from Wiley book)(31s).ps.gz (112.1К)
- Hereman. Painleve test for ODEs(5s).ps.gz (38.1К)
- Hereman. Symbolic methods and software overview for Lie symmetry analysis(60s).ps.gz (189.2К)
- Reid et al. Lie symmetry commutation relations for PDEs(T)(6s).djvu (159.8К)
- Limits, asymptotics
- Fateman. Computing multiple-scale asymptotic expansions(T)(7s).djvu (120.3К)
- Geddes, Gonnet. Computing symbolic limits using hierarchical series (ISSAC1988)(L)(T)(3s).djvu (91.2К)
- Gorin E.A. Asimptoticheskie svojstva mnogochlenov neskol#kih peremennyh (1991)(ru)(L)(T)(14s).djvu (708.2К)
- Gourdon, Salvy. Effective asymptotics for linear recurrences (Discr.Math.153, p145, 1996)(T)(19s).djvu (158.9К)
- Gourdon, Salvy. Effective asymptotics of linear recurrences(14s).ps.gz (73.8К)
- Gruntz. New algorithm for computing asymptotic series(T)(6s).djvu (107.9К)
- Gruntz. Symbolic limits in a CAS (Ph.D. thesis)(152s).ps.gz (293.4К)
- Hardy G. Asymptotic solution of ODE (ProcLMS 1912)(L)(T)(10s).djvu (254.3К)
- Hardy G. Properties of log-exp functions (ProcLMS 1912)(L)(T)(20s).djvu (465.4К)
- McCormack et al. Asymptotics of linear differential systems. JSC 1997(T)(13s).djvu (89.3К)
- Richardson D. Solution of the identity problem for integral exponential functions (Zeitschr.f.math.Logik 15, p333, 1969)(T)(8s).djvu (87.4К)
- Richardson. Asymptotic expansion of exp-log functions(5s).pdf (529.8К)
- Richardson. Asymptotic expansion of exp-log functions(T)(5s).djvu (118.1К)
- Salvy B. Fonctions generatrices et asymptotique automatique (INRIA report RR-0967, 1989)(fr)(T)(125s).djvu (883.8К)
- Salvy, Shackell. Asymptotic expansions of functional inverses(10s).ps.gz (64.3К)
- Salvy, Shackell. Asymptotics of inverse functions. JSC 1999(T)(21s).djvu (156.5К)
- Salvy, Shackell. Asymptotics of two variable implicit functions(21s).ps.gz (104.4К)
- Salvy, Shackell. Asymptotics with oscillating coefficients(17s).ps.gz (102.9К)
- Salvy. Asymptotic expansion of functional inverses(T)(8s).djvu (153.8К)
- Salvy. Asymptotic of implicit functions(6s).ps.gz (32.6К)
- Salvy. Asymptotique automatique (une chapitre)(fr). RR-3707(25s).ps.gz (252.3К)
- Salvy. Examples of automatic asymptotics. RT-0114(19s).ps.gz (67.4К)
- Salvy. Fast computation of some asymptotics(11s).ps.gz (62.6К)
- Salvy. General asymptotic scales and CAS(14s).ps.gz (60.8К)
- Sanchez. Method of multiple scales and asymptotic solutions (JSC96)(T)(8s).djvu (54.6К)
- Schackell J. Extensions of asymptotic fields via meromorphic functions (J.London Math.Soc.52, p356, 1995)(400dpi)(T)(19s).djvu (222.6К)
- Schmidt. Asymptotic approximation of one Fourier integral (MC 1978)(T)(13s).djvu (89.6К)
- Shackell J. Growth orders occurring in expansions of Hardy-field solutions of algebraic differential equations (Ann.Inst.Fourier 45, p183, 1995)(600dpi)(T)(40s).djvu (334.3К)
- Shackell J. Limits of Liouvillian functions (Proc. London Math.Soc.72, p124, 1996)(400dpi)(T)(33s).djvu (430.6К)
- Shackell, Salvy. Asymptotic forms and algebraic diff. equations (JSc 1995)(T)(9s).djvu (187.4К)
- Shackell. Algorithms for limits and asymptotics(4s).ps.gz (30.2К)
- Shackell. Asymptotic forms and algebraic differential equations(10s).ps.gz (77.7К)
- Shackell. Star products and asymptotic growth ACM 1997(T)(8s).djvu (281.9К)
- Shakell J. Asymptotic estimation of oscillating functions (ISSAC1988)(L)(T)(5s).djvu (251.9К)
- Van der Hoeven. Algorithms for asymptotics I(14s).ps.gz (66.4К)
- Van der Hoeven. Algorithms for asymptotics II(11s).ps.gz (54.9К)
- Van der Hoeven. Fast evaluation of holonomic functions in singularities(27s).ps.gz (131.8К)
- Van der Hoeven. Fast evaluation of holonomic functions(22s).ps.gz (104.3К)
- Van der Hoeven. Generic asymptotic expansions(21s).ps.gz (88.6К)
- Winitzki. Uniform approximations of transcendental functions (LNCS)(10s).pdf (172.8К)
- Wong, McClure. Method of asymptotic evaluation of some multiple integrals (MC 1981)(T)(14s).djvu (133.1К)
- van der Hoeven. On the computation of limsups (JPAA 1997)(T)(14s).djvu (165.2К)
- Mahajan M., Vinay V. Determinant.. combinatorics, algorithms, and complexity (1997)(T)(28s).djvu (189.2К)
- Matrix generators for orthogonal groups JSC 1998(T)(10s).djvu (72.2К)
- Monagan. In-place arithmetic for polynomials over Zn (DISCO92)(L)(T)(7s).djvu (162.0К)
- Mueller-Quade, Steinwandt. Basic algorithms for rational function fields (JSC1999)(T)(28s).djvu (210.3К)
- Physics applications
- Broadhurst, Kreimer. Renormalization automated by Hopf algebra (JSC99)(T)(20s).djvu (146.4К)
- Caprasse, Hans. Renormalization group for YM theories with massive fermions (JMP 1987)(T)(7s).djvu (126.8К)
- Caprasse. Renormalisation group and function iterations (JSC 1990)(L)(T)(7s).djvu (148.7К)
- Gusynin, Kornyak. Computation of Seeley-DeWitt-Gilkey coefficients (JSC94)(T)(12s).djvu (189.7К)
- Pohst M. (ed.) Algorithmic methods in algebra and number theory (JSC 4, 1987. AP, 1987)(K)(ISBN 012559190X)(T)(131s).djvu (1.5М)
- Pohst M. (ed.) Algorithmic methods in algebra and number theory (JSC 4, 1987. AP, 1987)(L)(T)(66s).djvu (1.4М)
- Polynomial factorization
- Beckermann, Labahn. Euclidean algorithm for numerical polynomial GCD. JSC 1998(T)(24s).djvu (205.5К)
- Beckermann, Labahn. Numerical polynomials relatively prime JSC 1998(T)(13s).djvu (92.5К)
- Canny et al. Optimal condition for number of roots in polynomial system(T)(7s).djvu (140.9К)
- Collins, Encarnacion. Improved factoring of polynomials(14s).ps.gz (53.2К)
- Collins, Krandick. Hybrid method for polynomial real roots (ISSAC93)(T)(6s).djvu (119.9К)
- Collins, Krandick. Infallible polynomial complex root isolation (ISSAC92)(T)(6s).djvu (148.8К)
- Collins, Krandick. Tangent-secant method for polynomial complex roots (ISSAC96)(T)(5s).djvu (106.0К)
- Corless et al. Absolute factorization of multivariate polynomials (ISSAC2002)(T)(9s).djvu (119.1К)
- Flajolet P., Gourdon X., Panario D. Complete analysis of a polynomial factorization algorithm over finite fields (J.Algorithms 40, p37, 2001)(45s).pdf (262.7К)
- Galligo. Numerical primality test for bivariate polynomials(T)(8s).djvu (254.2К)
- Galligo. Real factorization of multivariate integer polynomials(JMSci 2002)(T)(8s).djvu (72.4К)
- Gottfert. Acceleration of Niederreiter factorization in characteristic 2 (MC 1994)(T)(10s).djvu (88.3К)
- Kaltofen
- Canny et al. Faster multivariate resultant 1989(8s).ps.gz (52.9К)
- Cantor, Kaltofen. Fast multivariate polynomial multiplication(9s).ps.gz (44.1К)
- Diaz et al. Algebraic algorithms 1999(39s).ps.gz (170.7К)
- Diaz, Kaltofen. Computing GCDs of polynomials using black box 1995(8s).ps.gz (93.7К)
- Diaz, Kaltofen. FoxBox, polynomial manipulation using black box 1998(8s).ps.gz (56.8К)
- Freeman et al. Dagwood, polynomials with straight-line programs(26s).ps.gz (51.4К)
- Kaltofen - hybrid methods symnum(17s).pdf (173.3К)
- Kaltofen, Lobo. Factoring high-degree polynomials by black box 1994(9s).ps.gz (81.2К)
- Kaltofen, Shoup. Factorization of polynomials over high algebraic extensions of finite fields 1997(5s).ps.gz (78.2К)
- Kaltofen, Shoup. Subquadratic-time factoring of polynomials over finite fields 1998(28s).ps.gz (152.5К)
- Kaltofen, Trager. Computing with polynomials as black boxes 1990(20s).ps.gz (80.3К)
- Kaltofen, Villard. Complexity of computing determinants 2001(15s).pdf (266.6К)
- Kaltofen. Complexity of polynomial factorization (phd thesis, 1982)(101s).pdf (367.5К)
- Kaltofen. Computing with polynomials by straight-line programs 2. Sparse factorization 1985(17s).pdf (55.5К)
- Kaltofen. Factorization of polynomials using straight-line programs 1989 (31s).ps.gz (90.8К)
- Kaltofen. Fast parallel polynomial irreducibility test 1985 (17s).ps.gz (45.4К)
- Kaltofen. GCD of polynomials using straight-line programs 1988(43s).ps.gz (121.6К)
- Kaltofen. Lecture notes on symbolic integration 1984(38s).ps.gz (172.3К)
- Kaltofen. On the Risch diff. equation 1984(8s).ps.gz (67.2К)
- Kaltofen. Parallel Coppersmith-Wiedemann algorithm for sparse systems 1995(32s).ps.gz (117.7К)
- Kaltofen. Parallel algebraic algorithm design notes 1989(5s).ps.gz (30.9К)
- Kaltofen. Parallel computation of polynomial GCDs 1989(9s).ps.gz (84.8К)
- Kaltofen. Polynomial factorization 1982-1986(26s).ps.gz (74.2К)
- Kaltofen. Polynomial factorization 1987-1991(20s).ps.gz (80.9К)
- Kaltofen. Polynomial factorization survey 1982(21s).ps.gz (53.4К)
- Kaltofen. Reduction of bivariate to univariate factorization 1982(18s).ps.gz (35.8К)
- Kaltofen. Reduction to bivariate and univariate polynomial factorization 1985(27s).ps.gz (85.4К)
- vzGathen, Kaltofen. Probabilistic factorization of polynomials over finite fields 1985(13s).ps.gz (36.4К)
- Kaltofen. Polynomial reduction to 2 variables(T)(6s).djvu (91.9К)
- Karmarkar, Lakshman. Approximate GCDs of polynomials JSC 1998(T)(14s).djvu (99.3К)
- Landau. Polynomial-time algorithms for Galois groups (EUROSAM84)(L)(T)(7s).djvu (136.5К)
- Lopatinskij. Razlozhenie polinomial#noj matricy na mnozhiteli (1956)(ru)(L)(T)(2s).djvu (51.3К)
- Lucks. New algorithm for fast integer polynomial factorization (ISSAC1986)(T)(5s).djvu (234.5К)
- McCallum. Testing bivariate polynomials for reducibility. JSC 1997(T)(27s).djvu (202.3К)
- Mignotte, Glesser. On the smallest divisor of integer polynomials (JSC94)(T)(6s).djvu (102.0К)
- Musser. Multivariate polynomial factorization(JACM 1975)(T)(18s).djvu (347.8К)
- Niederreiter, Gottfert. On new factorization algorithm for polynomials over finite fields (MC 1995)(T)(8s).djvu (80.4К)
- Niederreiter. Factoring polynomials over finite fields with diff. equations and bases (MC 1994)(T)(13s).djvu (110.8К)
- Ragot. Sur le factorisation absolue des polynomes (these, 1997)(fr)(T)(138s).djvu (705.8К)
- Shamir. Generation of hard to factor multivariate polynomials (ACM 1993)(T)(9s).djvu (142.5К)
- Viry. Factorization of polynomials in Fp[x] (JSC 1993)(T)(21s).djvu (397.2К)
- Wang, Rothschild. Factoring multivariate polynomials over integers (MC 1975)(T)(17s).djvu (152.1К)
- Wang. Factoring multivariate polynomials over algebraic number fields (MC 1976)(T)(14s).djvu (127.7К)
- Wang. Improved multivariate polynomial factoring algorithm (MC 1978)(T)(18s).djvu (153.1К)
- Yokoyama et al. Determining solvability of polynomial over integers (ISSAC90)(T)(8s).djvu (209.3К)
- Yokoyama. Modular method for computing Galois groups of polynomials (JPAA 1999)(T)(20s).djvu (280.7К)
- Proceedings EUROSAM 1984 (selected papers)(SIGSAM, ACM)(L)(T)(84s).djvu (1.5М)
- Proceedings EUROSAM 1984 contents(L)(T)(4s).djvu (89.8К)
- Proceedings ISSAC
- Buchberger B. (ed.) Proceedings EUROCAL#85, vol.1 (LNCS 203, Springer, 1985)(T)(238s).djvu (2.3М)
- Calmet J. (ed.) Computer algebra (Proc. EUROCAM-82, LNCS 144, Springer, 1982)(T)(311s).djvu (2.6М)
- Canny J. Generalized characteristic polynomial (ISSAC1988)(L)(T)(4s).djvu (189.1К)
- Caviness B.F. (ed.) Proceedings EUROCAL#85, vol.2 (LNCS 204, Springer, 1985)(T)(666s).djvu (6.2М)
- Davenport J.H.(ed.) Proceedings EUROCAL#87 (LNCS 378, 1989)(T)(506s).djvu (5.2М)
- Fitch J. (ed.) Proceedings EUROSAM#84 (LNCS 174, Springer, 1984)(T)(407s).djvu (3.5М)
- Gianni P. (ed.) Proc. ISSAC 88 (selected papers)(LNCS 358, 1988)(L)(T)(58s).djvu (1.2М)
- Ng E.W. (ed.) Symbolic and algebraic computation (Proc. EUROSAM, LNCS 72, Springer, 1979)(T)(572s).djvu (4.9М)
- Proceedings ISSAC 1988 (Rome) (ACM)(T)(555s).djvu (5.7М)
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- Proceedings ISSAC 1990 (Tokyo) (ACM)(T)(293s).djvu (7.7М)
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- Proceedings ISSAC 1991 (Bonn) (ACM)(T)(448s).djvu (9.4М)
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- Proceedings ISSAC 1992 (Berkeley) (ACM)(T)(405s).djvu (8.9М)
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- Proceedings ISSAC 1993 (Kiev) (ACM)(T)(312s).djvu (6.3М)
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- Proceedings ISSAC 1994 (Oxford) (ACM)(T)(358s).djvu (8.7М)
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- Proceedings ISSAC 1995 (Montreal) (ACM)(T)(308s).djvu (7.4М)
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- Proceedings ISSAC 1999 (Vancouver) (ACM)(T)(275s).djvu (10.2М)
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- Proceedings ISSAC 2008 (ACM)_TOC.html.gz (10.1К)
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- README.ISSAC.txt (511.0Б)
- README.Proceedings_ISSAC.txt (530.0Б)
- van Hulzen J.A. (ed.) Computer algebra (Proc. EUROCAM-83, LNCS 162, Springer, 1983)(T)(317s).djvu (2.4М)
- Quantifier elimination
- Dolzmann. Local quantifier elimination(9s).pdf (185.2К)
- Dolzmann. Simplification of quantifier-free formulae. JSC 1997(T)(24s).djvu (174.1К)
- Nguyen et al. PALMINI, fast Boolean minimization(T)(7s).djvu (246.1К)
- Richardson. Elimination of infinitesimal quantifiers (JPAA 1999)(T)(19s).djvu (239.4К)
- Sturm T. Lineare Quantorelimination in bewerteten Koerpern (Diplomarbeit, 1995)(49s).ps.gz (188.6К)
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- Weispfenning. Complexity of problems in archimedean ordered groups (EUROCAL85)(L)(T)(2s).djvu (45.7К)
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- Radicals
- Borodin et al. Decreasing the nesting depth of square roots (JSC 1985)(L)(T)(11s).djvu (284.5К)
- Borodin et al. Decreasing the root nesting (JSC 1985)(L)(T)(11s).djvu (525.1К)
- Caviness, Fateman. Simplification of unnested radicals(T)(10s).djvu (212.8К)
- Jeffrey, Rich. Simplifying square roots of square roots(13s).ps.gz (58.7К)
- Landau S. A note on Zippel denesting (preprint 1990)(6s).ps.gz (36.3К)
- Landau S. Galois groups and solvability in radicals (phd thesis 1983)(T)(75s).djvu (953.0К)
- Landau S. How to tangle with a nested radical (preprint 1991)(16s).ps.gz (56.9К)
- Landau S. Simplification of nested radicals (1990 preprint)(34s).ps.gz (100.6К)
- Landau S. Simplification of nested radicals (SIAM J Comp. 1992)(T)(26s).djvu (334.4К)
- Osipov. Uproshchenie vlozhennyh veshchestvennyh radikalov (ru)(T)(10s).djvu (60.0К)
- Smedley. Radical simplification using algebraic extension fields (EUROCAL87)(L)(T)(2s).djvu (70.8К)
- Zippel. Simplification of radicals (JSC 1985)(L)(T)(11s).djvu (303.3К)
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- Arnon D.S., Buchberger B. Algorithms in real algebraic geometry (JSC 5, 1988. AP, 1988)(K)(T)(278s).djvu (4.9М)
- Collins. Quantifier elimination for real closed fields by CAD (LNCS 33, p. 134, 1975)(L)(T)(25s).djvu (435.6К)
- Dolzmann, Sturm, Weispfenning. Real quantifier elimination in practice, survey (TR MIP-9720, 1997)(25s).ps.gz (123.6К)
- Gonzalez-Campos, Gonzalez-Vega. Computing the CAD adapted to a set of equalities(CASC2000)(L)(T)(8s).djvu (228.2К)
- Hong H. Improvement of the projection operator in cylindrical algebraic decomposition (ISSAC90)(T)(4s).djvu (133.5К)
- Sturm T. Real quantifier elimination in geometry (phd diss., 1999)(140s).ps.gz (472.5К)
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- Salvy. Algorithms seminar 1995-1996. RR-2992(150s).ps.gz (460.1К)
- Salvy. Algorithms seminar 1997-1998. RR-3504(187s).ps.gz (654.6К)
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- Schwartz. Fast probabilistic verification of polynomial identities(T)(17s).djvu (282.7К)
- Series
- Bernstein. Composing power series over finite rings. JSC 1998(T)(3s).djvu (28.5К)
- Brent, Kung. Fast algorithms for manipulating power series (rpb045)(JACM 1978)(T)(15s).djvu (238.2К)
- Brent, Kung. Fast algorithsm for composition and reversion of power series (Proc. Waterloo 1977)(rpb039)(T)(11s).djvu (181.5К)
- Brent, Kung. Fast composition and reversion of power series (rpb029)(L)(T)(5s).djvu (67.5К)
- Brent, Traub. Complexity of composition of power series (rpb050)(Siam J Comp 1980)(T)(13s).djvu (272.2К)
- Kung, Traub. Series for algebraic functions can be computed fast (JACM 1978)(T)(16s).djvu (231.6К)
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- Simplification
- Bronstein. Simplification of real elementary functions(T)(5s).djvu (166.7К)
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- Decomposition
- Barton, Zippel. Polynomial decomposition algorithms (JSC 1985)(L)(T)(6s).djvu (144.6К)
- Dragan M. Decomposing large sparse systems of nonlinear equations (2001)(T)(9s).djvu (63.8К)
- Gutierrez, Recio. Implementation of rational function decomposition (ISSAC92)(T)(6s).djvu (147.3К)
- Gutierrez, Rubio. CADECOM, software for functional decomposition (CASC2000)(L)(T)(8s).djvu (175.7К)
- Klueners. Univariate and bivariate polynomial decompositions. JSC 1999(T)(9s).djvu (75.9К)
- Rubio. Functional decomposition (ext.abs.)(T)(3s).djvu (15.5К)
- Weiss. Homogeneous decomposition of polynomials (ISSAC92)(T)(6s).djvu (120.5К)
- Zippel. Rational function decomposition (ISSAC1991)(T)(6s).djvu (162.9К)
- von zur Gathen, Gutierrez, Rubio. On multivariate polynomial decomposition(CASC1999)(L)(T)(9s).djvu (204.6К)
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- von zur Gathen. Decomposition of polynomials, wild case (JSC10, 1990)(16s).pdf (751.4К)
- von zur Gathen. Decomposition of polynomials, wild case (JSC10, 1990)(T)(16s).djvu (149.9К)
- von zur Gathen. Functional decomposition of polynomials. the tame case. (JSC1990)(T)(19s).djvu (299.9К)
- Fateman. Essays in algebraic simplification (phd thesis)(T)(195s).djvu (1.5М)
- Fischer, Warsitz. Complexity of derivatives generated by symbolic differentiation(CASC2000)(L)(T)(9s).djvu (194.6К)
- Gutierrez, Recio. Advances in simplification of sin-cos polynomials (JSC1998)(T)(40s).djvu (294.7К)
- Karr. Canonical forms of rational exponential expressions(EUROCAL85)(L)(T)(6s).djvu (270.8К)
- Koepf. Simplification of trigonometry(9s).ps.gz (39.8К)
- Manssur L., Portugal R. Group-theoretic Approach for Symbolic Tensor Manipulation.. II. Dummy (arXiv math-ph_0107032, 2001)(14s).pdf (113.8К)
- Moses. Algebraic simplification for the perplexed(T)(23s).djvu (329.0К)
- Peeters K. A field-theory motivated approach to symbolic computer algebra (arXiv cs.SC_0608005, 2006)(12s).pdf (137.1К)
- Portugal R. Algorithmic simplification of tensor expressions (J.Phys.A 32, p7779, 1999)(11s).pdf (65.8К)
- Portugal R. An Algorithm to Simplify Tensor Expressions (arXiv gr-qc_9803023, 1998)(18s).pdf (174.2К)
- Portugal R., Svaiter B. Group-theoretic Approach for Symbolic Tensor Manipulation.. I. Free (arXiv math-ph_0107031, 2001)(10s).pdf (102.2К)
- Singer et al. Computing algebraic functions using log and exp 1995(9s).ps.gz (36.6К)
- Wavrik. Simplification of matrix expressions by rewriting(39s).ps.gz (84.0К)
- Smith. Symbolic derivatives without recursion (CACM 8, 1965)(T)(3s).djvu (140.8К)
- Solving ODEs
- Abramov, Bronstein, Petkovcek. Polynomial solutions to linear operator equations(T)(7s).djvu (158.2К)
- Abramov, Petkovsek. Dalambertian solutions to linear ODEs(T)(6s).djvu (130.0К)
- Barkatou M. Rational Newton algorithm for linear ODEs (ISSAC1988)(L)(T)(7s).djvu (180.3К)
- Barkatou. Rational solutions of linear ODE systems(T)(21s).djvu (159.2К)
- Baumann. Solution of ODEs with MathLie (CASC1999)(L)(T)(12s).djvu (225.4К)
- Bronstein et al. Polynomial solutions of linear ODEs(7s).ps.gz (48.7К)
- Bronstein, Fredet. Solving linear ODEs using exp integrals (1999)(14s).ps.gz (95.2К)
- Bronstein, Lafaille. Solutions of linear ODEs in special functions (ISSAC2002)(T)(6s).djvu (77.4К)
- Bronstein. Computer algebra algorithms for linear ODE and difference equs. (ECM)(T)(15s).djvu (112.9К)
- Bronstein. Factorization of linear ODE (Math.Comp.Sim. 1996)(L)(T)(2s).djvu (58.5К)
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- Bronstein. Solutions of ODEs in radicals (1985)(T)(2s).djvu (16.7К)
- Bronstein. Solutions of ODEs in their coeff field. JSC 2000(T)(37s).djvu (297.0К)
- Bronstein. Solving linear ODEs in exponential integrals(7s).ps.gz (90.0К)
- Cheb-Terrab, Roche. Integrating factors for 2nd order ODes. JSC 1999(T)(19s).djvu (138.2К)
- Davenport, Singer. Elementary and Liouvillian solutions of ODEs (JSC 1986)(L)(T)(13s).djvu (442.9К)
- Della Dora, Richard-Jung. Library for integration and reduction of nonlinear ODEs (CASC2000)(L)(T)(9s).djvu (214.4К)
- Fakler. Algorithms for solving linear ODEs(11s).ps.gz (33.7К)
- Galligo. Ideals of differential operators (EUROCAL85)(L)(T)(5s).djvu (149.9К)
- Galois theory
- Berman. Computing Galois groups of certain ODEs (phd thesis)(T)(157s).djvu (707.1К)
- Compoint, Singer. Computing Galois groups of completely reducible ODEs 1998(22s).ps.gz (91.6К)
- Cormier et al. Computing Galois groups of polynomials through ODEs 2000(51s).ps.gz (361.1К)
- Hessinger. Galois groups of 4th order ODEs (phd thesis)(141s).ps.gz (286.2К)
- Singer, van der Put. Differential Galois theory 2002-06(478s).ps.gz (1.5М)
- Vanderput. Differential Galois theory and ODEs(12s).ps.gz (38.0К)
- van Hoeij. Factorization of differential operators with power series coeffs. JSC 1997(30s).pdf (420.8К)
- van der Put. Galois theory of differential equations. JSC 1999(33s).pdf (325.6К)
- Grigoriev. Complexity of factoring and GCD of linear differential operators (JSC1990)(L)(T)(16s).djvu (617.3К)
- Hovanskij A.G. Razreshimost# differencial#nyh uravnenij (obzornyj doklad, 1994)(ru)(22s).ps.gz (69.9К)
- Kovacic. Algorithm for solving 2nd order linear DE (JSC 1986)(L)(T)(21s).djvu (501.9К)
- Linchuk. Factorization of functional differential equations(T)(11s).djvu (69.1К)
- Man. Solutions of 1st order ODEs with Prelle-Singer. JSC 1993(T)(21s).djvu (419.7К)
- Miller. Reducible and irreducible linear ODEs (thesis, 1932)(L)(T)(9s).djvu (276.0К)
- Petkovcek, Salvy. Hypergeometric solutions to linear ODEs(T)(7s).djvu (150.1К)
- Pflugel. Exponential solutions of 1st order ODE systems(T)(8s).djvu (249.4К)
- Risch. Solution of problem of integration in finite terms (Bull. AMS 1970)(L)(T)(3s).djvu (165.8К)
- Ritt. Integral functions obtained by compounding polynomials (Bull. AMS 1933v39)(L)(T)(4s).djvu (98.4К)
- Ritt. Integration in finite terms of linear ODEs of 2nd order (Bull. AMS 1927v33)(L)(T)(4s).djvu (90.8К)
- Ritt. Transendency of certain functions of Poincare (Math.Ann. 1925)(T)(13s).djvu (226.5К)
- Rubel, Singer. Differential algebraic elimination theorem (ProcAMS 1985)(T)(7s).djvu (66.2К)
- Rubel. Solutions of algebraic ODEs (JDE1983)(L)(T)(7s).djvu (173.9К)
- Rubel. Universal differential equation (BAMS1981)(L)(T)(3s).djvu (88.5К)
- Schmidt. Heuristic solving of 1st order ODEs(T)(12s).djvu (265.5К)
- Schwarz. Factorization of linear ODE(T)(9s).djvu (211.3К)
- Singer, Ulmer. Kovacic-style algorithm for 3rd order ODEs 2001(25s).ps.gz (88.8К)
- Singer, Ulmer. Symbolic solutions of 2nd and 3rd order ODE(37s).ps.gz (120.0К)
- Singer. Algebraic solutions of linear ODEs (Queens papers, 1979)(L)(T)(23s).djvu (537.1К)
- Singer. Elementary solutions of ODEs (PacJMath1975)(L)(T)(7s).djvu (161.0К)
- Singer. Formal solutions of ODEs (JSC 1990)(L)(T)(19s).djvu (971.9К)
- Singer. Liouvillian solutions of ODEs with Liouvillian coefficients (JSC1991)(L)(T)(12s).djvu (417.2К)
- Soleev, Yarmuhamedov. Newton polyhedra and reversible systems of ODEs (CASC2000)(L)(T)(5s).djvu (124.1К)
- Tsarev. Enumerate all factorizations of a linear ODE(T)(6s).djvu (176.3К)
- Willis. Extensible 2nd order ODE solver 2001(T)(5s).djvu (60.3К)
- van Hoeij et al. Liouvillina solutions of ODEs of 3rd and higher order. JSC 1999(T)(21s).djvu (168.1К)
- van Hoeij. Factorization of differential operators with rational coefficients. JSC 1997(T)(25s).djvu (203.4К)
- van der Waall. Lame equations with finite monodromy (phd thesis)(T)(151s).djvu (807.6К)
- Solving PDEs
- Baldwin et al. Traveling wave solutions of PDEs using tanh, cn(36s).ps.gz (222.0К)
- De Jager, Van Asch. Symbolic solutions for a class of PDEs. JSC 1996(T)(10s).djvu (66.6К)
- Wolf. Symbolic integration of exact PDEs. JSC 2000(T)(11s).djvu (78.6К)
- Solving equations
- Chistov. Polynomial-time computation of the dimension of algebraic varieties (JSC1996)(T)(25s).djvu (207.1К)
- Corless et al. Singular value decomposition for polynomial systems (ISSAC95)(T)(13s).djvu (311.7К)
- Davenport J.H. Solving systems of polynomials.. theory and practice (Calculemus slides)(L)(T)(59s).djvu (135.2К)
- Durand, Hoffmann. Analytic solution of geometric constraints (JSC00)(T)(27s).djvu (191.9К)
- Fateman. Solutions of algebraic and ODEs by Newton and Hensel iteration(6s).ps.gz (39.8К)
- Fateman. y=z2w, or why CAS cannot solve equations(10s).ps.gz (37.4К)
- Fix et al. Implicitization of rational parametric surfaces (JSC96)(T)(8s).djvu (60.6К)
- Gaal. Resolution of polynomial inequality in 2 variables. JSC 1993(T)(9s).djvu (173.7К)
- Gao, Chou. Solving parametric algebraic systems (ISSAC92)(T)(7s).djvu (148.3К)
- Greuel. Applications of CAS to alg. geometry and symbolic-numerical solving (2000)(17s).ps.gz (102.5К)
- Guisti, Lecerf, Salvy. Groebner free alternative for polynomial system solving (2000)(51s).ps.gz (180.8К)
- Hanrot. Algorithmic solvability in radicals(T)(8s).djvu (349.2К)
- Henson, Rubel, Singer. Algebraic properties of the ring of exp-polynomials (Compl.Var.1989)(L)(T)(11s).djvu (273.1К)
- Huber, Sturmfels. Polyhedral method for solving sparse polynomial systems (MC 1995)(T)(16s).djvu (143.2К)
- Jeffrey et al. Rational solutions of transcendental equations(6s).ps.gz (59.5К)
- Jirstrand M. Algebraic methods in modeling, design and control (phd thesis)(1996)(154s).ps.gz (622.1К)
- Jirstrand M. Introduction to cylindrical algebraic decomposition (1995)(40s).ps.gz (275.5К)
- Jirstrand M. Introduction to cylindrical algebraic decomposition (1995)(T)(40s).djvu (202.3К)
- Kalkbrener. Euclidean algorithm for triangular representation of algebraic varieties (JSC93)(T)(25s).djvu (474.8К)
- Kozen, Landau, Zippel. Decomposition of algebraic functions (JSC1996)(T)(12s).djvu (89.5К)
- Kozen, Landau. Polynomial decomposition algorithm (JSC 1989)(T)(12s).djvu (135.0К)
- Lazard. Solving systems of algebraic equations (ACM SIGSAM 2001)(T)(27s).djvu (365.9К)
- Lecerf G. Alternative rewriting methods for solving algebraic systems (phd thesis, 2001)(en)(fr)(216s).ps.gz (600.8К)
- Li, Sauer, Yorke. Cheater#s homotopy. Solving systems of polynomial equations (SIAM JNA 1989)(T)(12s).djvu (128.7К)
- Maignan. Real sine-polynomial equations(T)(8s).djvu (146.5К)
- Maignan. Resolution reelle des systemes algebro-elementaires (these, 2000)(fr)(T)(143s).djvu (738.5К)
- Maignan. Solving exponential-polynomial systems of equations(T)(7s).djvu (89.6К)
- Mourrain. Isolated roots of algebraic equations matrix methods. JSC 1998(T)(24s).djvu (192.3К)
- Pau, Schicho. Quantifier elimination and CAD for trigonometric polynomials (JSC2000)(T)(13s).djvu (104.0К)
- Richardson D. Solution of elementary systems of equations in a box in Rn (ISSAC96)(T)(7s).djvu (183.6К)
- Roach. Numeric-symbolic nonlinear equation solving(T)(7s).djvu (146.4К)
- Rouillier, El Din. Real solutions of positive-dimensional algebraic systems (JSC2002)(T)(18s).djvu (135.9К)
- Schicho. Rational parametrization of surfaces (JSC1998)(T)(29s).djvu (201.5К)
- Steinwandt. Decomposing systems of polynomial equations(CASC1999)(L)(T)(11s).djvu (285.7К)
- Strzebonsky. Solving systems of polynomial inequalities. JSC 2000(T)(10s).djvu (91.5К)
- Tran. Symbolic-numerical solution of real algebraic equations (JSC98)(T)(22s).djvu (156.9К)
- Wang. Elimination method for polynomial systems (JSC93)(T)(32s).djvu (949.9К)
- Woods. Efficient solution of systems of boolean equations(T)(5s).djvu (61.2К)
- Xia, Yang. Solving algebraic systems (JSC 2002)(T)(17s).djvu (131.0К)
- Special functions
- Eikenberry, Sorenson. Algorithms for Jacobi symbol. JSC 1998(T)(15s).djvu (103.7К)
- Frenkel D., Portugal R. Algebraic methods to compute Mathieu functions (J.Phys.A.Math.Gen.34, p3451, 2001)(11s).pdf (76.2К)
- Koepf. Algorithms for orthogonal polynomials(37s).ps.gz (153.9К)
- Koepf. CAS algorithms for orthogonal polynomials and special functions 2002(T)(20s).djvu (123.3К)
- Koepf. Efficient computation of orthogonal polynomials in CAS(20s).ps.gz (106.2К)
- Koepf. Identities for orthogonal polynomials and special functions(30s).ps.gz (99.0К)
- Koepf. Special functions (Mma package).m.gz (67.3К)
- Roach. Representations of hypergeometric function (ISSAC96)(8s).ps.gz (66.4К)
- von Mohrenshildt. Canonical form for piecewise functions. JSC 1998(T)(13s).djvu (94.4К)
- Stoutemeyer. Solving integral equations in CAS(T)(19s).djvu (270.3К)
- Summation
- Abramov, Petkovsek. Minimal decomposition of hypergeom sums(T)(8s).djvu (291.6К)
- Abramov,Geddes,Le. Algorithms for closed forms of sums(T)(2s).djvu (11.6К)
- Abramov. Termination of Zeilberger#s algorithm for hypergeom sums(T)(7s).djvu (88.6К)
- Bauer, Petkovcek. Multibase Gosper-type algorithms. JSC 1999(T)(26s).djvu (183.6К)
- Bergeron, Plouffe. Computing the generating function from first terms of series(6s).ps.gz (253.1К)
- Boeing, Koepf. Algorithms for q-hypergeometric summation in CAS(17s).ps.gz (127.9К)
- Boeing, Koepf. q-hypergeometric summation in CAS(T)(23s).djvu (159.5К)
- Boeing. Theorie zur q-hypergeom Summation(95s).ps.gz (365.1К)
- Chyzak. Summation of special functions and combinatorics (talk, slides)(63s).ps.gz (208.3К)
- Fateman, Kahan. Symbolic computation with divided differences(T)(23s).djvu (156.8К)
- Fokkink, et al. Fast computation of an alternating sum (1994)(600dpi)(T)(6s).djvu (51.0К)
- Fokkink, et al. Fast computation of an alternating sum (1994)(6s).pdf (109.3К)
- Hayden, Lamagna. Summation of binomial coeffs using hypergeometrics(T)(5s).djvu (154.0К)
- Karr. Summation in finite terms (JSC 1985)(L)(T)(7s).djvu (168.8К)
- Karr. Summation in finite terms 1981(T)(46s).djvu (586.3К)
- Koepf. Q-summation(16s).ps.gz (75.1К)
- Krattenthaler C., Srinavasa Rao K. Automatic generation of hypergeometric identities by the beta integral method (J.Comp.Appl.Math. 160, p.159, 2003)(15s).pdf (177.1К)
- Le. constructing minimal telescoper for sums 2001(T)(9s).djvu (124.2К)
- Man. Closed forms for symbolic summation. JSC 1993 (22s).pdf (612.6К)
- Man. Closed forms for symbolic summation. JSC 1993 (T)(22s).djvu (187.1К)
- Man. Closed forms for symbolic summation. JSC 1993(T)(22s).djvu (477.5К)
- Norton. Shortest linear recurrences. JSC 1999(T)(25s).djvu (184.1К)
- Paule. Recent developments in symbolic summation(30s).ps.gz (89.4К)
- Pirastu, Strehl. Rational summation and Gosper-Petkovsek representation. JSC 1995(20s).ps.gz (81.9К)
- Pirastu. Algorithms for rational function summation (Maple)(12s).ps.gz (68.0К)
- Pirastu. Rational function summation and Gosper-Petkovchek repr(21s).ps.gz (86.5К)
- Pirastu. Summation rationaler Funktionen. Diplom (de)(102s).ps.gz (190.7К)
- Ravenscroft, Lamagna. Symbolic summation with generating functions(T)(6s).djvu (152.2К)
- Riese. Contributions to q-hypergeometric summation (phd thesis)(103s).ps.gz (253.6К)
- Schneider. Implementation of Gosper-Karr#s symbolic summation algorithm(10s).ps.gz (45.0К)
- Sherman. Symbolic summation of Apery series (damaged)(T)(11s).djvu (46.2К)
- Singer. Solving difference equations in finite terms. JSC 1999(T)(21s).djvu (175.7К)
- Vermaseren J. Harmonic sums and Feynman integrals, hep-ph_9806280(31s).pdf (210.1К)
- Wolfram D.A. General solution for constant-coefficient difference equation (JSC2000)(T)(4s).djvu (28.2К)
- Zeilberger D. Holonomic system approach to special function identities (J.Comp.Appl.Math.32, p321, 1990)(48s).ps.gz (147.4К)
- Zhang. Algorithm for proving q-hypergeometric identities. JSC2003(11s).pdf (107.7К)
- Textbooks
- Ballarin C. Computer algebra and theorem proving (PhD thesis)(122s).ps.gz (300.5К)
- Calmet. Vorlesungen zur Computer-Algebra (de) (2sided)(136s).ps.gz (522.3К)
- Calmet. Vorlesungen zur Computer-Algebra (de)(271s).ps.gz (523.0К)
- Chee Yap. Fundamental problems of algorithmic algebra (draft dvi).zip (727.1К)
- Davenport et al. Calcul algebrique et formel (1995)(fr)(156s).ps.gz (458.3К)
- Hebisch. Skript zur Vorlesung Computer algebra 2002 (de)(T)(11s).djvu (54.1К)
- Hong. Computer algebra lectures (small part) (tex,ps).tgz (181.9К)
- Liska et al. Overview of CAS capabilities and algebraic algorithms(169s).ps.gz (238.7К)
- Richardson. M70 computer algebra lecture(25s).ps.gz (111.8К)
- Richardson. M70 computer algebra lecture.dvi.gz (35.5К)
- Singer. Lectures on computer algebra (pdfs).zip (463.4К)
- Wenzierl. Computer algebra algorithms for particle physics(56s).ps.gz (175.6К)
- Wenzierl. Computer algebra algorithms for particle physics.tex.gz (46.2К)
- Zimmermann P. Recherche de calcul formel et de arithmetique (fr)(53s).ps.gz (334.9К)
- Yan. Geobucket data structure for polynomials. (JSC 1998)(T)(9s).djvu (73.4К)