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Bronstein M. — Symbolic integration 1. Transcendental functions
Bronstein M. — Symbolic integration 1. Transcendental functions



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Название: Symbolic integration 1. Transcendental functions

Автор: Bronstein M.

Аннотация:

Symbolic Integration I is destined to become the standard reference work in the field. Manuel Bronstein is a leading expert on this topic and his book is the first to treat the subject both comprehensively and in sufficient detail - incorporating new results along the way. The book addresses mathematicians and computer scientists interested in symbolic computation, developers and programmers of computer algebra systems as well as users of symbolic integration methods. Many algorithms are given in pseudocode ready for immediate implementation, making the book equally suitable as a textbook for lecture courses on symbolic integration.


Язык: en

Рубрика: Computer science/Компьютерная алгебра/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 299

Добавлена в каталог: 11.11.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Airy function      170
Bossel function      169 170
CanonicalRepresentation      101
Coefficient lifting      78 101 144
ConstantSystem      221
Content      25
CoupledDECancelExp      258
CoupledDECancelPrim      256
CoupledDECancelTan      261
Deflation      26 28 43 247
Derivation      73
Derivation induced      76
Differential      266
Differential extension      77
Differential field      73
Differential ring      73
Elementary extension      129 278 289
Elementary function      129
Elementary integral      129
Elementary monomial      129
Error function      241
Euclidean      10
Euclidean algorithm      10
Euclidean algorithm, extended      10
Euclidean division      8
Euclidean polynomial remainder sequence      22
Exponential extension      129
Exponential integral      241
Exponential monomial      129
ExtendedEuclidean      11-14
Extension, elementary, real      281
Factorization, irreducible      4
Factorization, prime      4
Factorization, split-squarefree      99 149
Factorization, splitting      97 98 100 101 144 178 180 214 242 247
Factorization, squarefree      28 39 41 42 45 51 55 71 99 134 148 178
FullPartialFraction      58
Gr$\ddot{o}$bner basis      53
HalfExtendedEuclidean      11 13
Hermite reduction      40 41 43 71 134 171
HermiteReduce      40 41 44 135
Hilbert's Nullstellensatz      8 88
HorovitzCstrogradsky      46
Hyperexponential extension      125 288
Hypertangent extension      159
Indicia! equation      124
IntegrateHyperexponential      159
IntegrateHyperexponentialPolynomial      157
IntegrateHypertangent      167
IntegrateHypertangentPolynomial      162
IntegrateHypertangentReduced      165
IntegrateNonLinearNoSpecial      169
IntegratePrimitive      155
IntegratePrimitivePolynomial      154
IntegrateRationalFunction      52 59
IntegrateRealRationalFunction      70
IntRationalLogPart      48 51 54
LaurentSeries      57
LimitedlntegrateReduce      244
LinearConstraints      219
Liouville's theorem      138 140 141 150 174
Liouvillian extension      125
Liouvillian extension, log-explicit      289
Liouvillian monomial      127
Logarithmic derivative identity      74 102 265
Logarithmic derivative of a radical      95
Logarithmic extension      129
Logarithmic integral      148 150 154 241
Logarithmic monomial      129
LogToAtan      63
LogToReal      69
Monomial      89
Monomial, arctangent      281
Monomial, arctangent, elementary      129
Monomial, exponential      129 278 281
Monomial, hyperexponential      125 156 160 161 172 173 184 196 208 216 224 246 254 257
Monomial, hypertangent      159 172 173 187 210 217 240 254 260
Monomial, Liouvillian      127
Monomial, logarithmic      129 278 281
Monomial, nonlinear      89 93 122 136 137 151 168 197 209 225 238 258
Monomial, primitive      125 153 171-173 184 190 207 216 223 241 255
Monomial, primitive, nonsimple      289
Monomial, real      281
Monomial, tangent      159 281
Newton - Leibniz - Bernoulli algorithm      36 58
Normal polynomial      90
ParametricLogarithmicDerivative      249
ParamPolyRischDENoCancel1      230
ParamPolyRischDENoCancel2      234
ParamRdeBoundDegreeBase      224
ParamRdeBoundDegreeExp      225
ParamRdeBoundDegreeNonLinear      225
ParamRdeBoundDegreePrim      223
ParamRdeNomalDenominator      215
ParamRdeSpecialDenomExp      217
ParamRdeSpecialDenomTan      218
ParSPDE      227
Partial fraction decomposition      15 16 36 39 47 54
PartialFraction      15 17
Polar multiplicity      134
PolyDivide      8
Polynomial remainder sequence      21
Polynomial, Euclidean      22
Polynomial, fundamental theorem      22
Polynomial, primitive      22
Polynomial, subresultant      23 49-51 148
PolynomialReduce      137
PolyPseudoDivide      9
PolyRischDECancelExp      209
PolyRischDECancelPrim      208
PolyRischDECancelTan      211
PolyRischDENoCancel1      204
PolyRischDENoCancel2      205
PolyRischDENoCancel3      206
Primitive extension      125 241
Primitive monomial      125 153 171-173 184 190 207 216 223 241 255
Primitive monomial, nonsimple      289
Primitive part      25
Primitive polynomial      25
Primitive polynomial remainder sequence      22
RdeBoundDegreeBase      195
RdeBoundDegreeExp      196
RdeBoundDegreeNonLinear      197
RdeBoundDegreePrim      194
RdeNormalDenominator      181
RdeSpecialDenomExp      186
RdeSpecialDenomTan      188
Real field      65
Real integration      59 159 172 173 187 210 217 240 260
Real structure theorem      284
Reduced function      101
Remainder      113
Residue      116 143
ResidueReduce      147 149
Risch differential equation      177
Risch differential equation, parametric      213
Risch structure theorem      279
Risch structure theorem, real      284
Rosenlicht's theorem      276
Rothstein - Trager resultant      47 67 71 122 144 172 173
Rothstem - Caviness theorem      289
Similarity      22 50
Simple function      101
SPDE      199
Special polynomial      90
Special polynomial of the first kind      96
SplitFactor      98
SplitSquarefreeFactor      100
Squarefree      29 32
Squarefree factorization      28 39 41 42 45 51 55 71 99 134 148 178
Squarefree polynomial      28
Subresultant      24
Sylvester matrix      18 19
Tangent extension      159
Tangent monomial      159
Value map at a point      110
Value map at infinity      114
ValueAtlnfinity      116
Weak normalization      177
WeakNormalizer      179
wronskian      71 86
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