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| Авторизация |
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| Поиск по указателям |
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| Goursat E. — A course in mathematical analysis. Volume 2, part 2: Differential equations |
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| Предметный указатель |
Substitutions linear equations, canonical form 252 48; 48;
Substitutions linear equations, system of linear equations, canonical form 165 61;
Substitutions linear equations, Wronskian 129 47
Successive approximations 62 27
Successive approximations, analytic functions 66 29; 37; 64
Successive approximations, Cauchy — Lipschitz method 61 27; 30; 30
Successive approximations, Cauchy'sfirst proof 68 30; 30
Successive approximations, coefficients functions of a parameter 65 Note
Successive approximations, Lindelof's addition 62 27
Successive approximations, linear equations 64 28
Successive approximations, Lipschitz condition 68 30; 94
Successive approximations, non-analytic integrals 175 64
Successive approximations, real variables 61 27; 27; 30; 150 65
Successive approximations, star 67 29
Surfaces, conoids 220 ex.
Surfaces, conoids, developable 240 82; 86; ex.
Surfaces, conoids, ellipsoid 41 Note
Surfaces, conoids, focal 209 74; 77
Surfaces, conoids, helicoids 220 ex. 83
Surfaces, conoids, orthogonal 223 77
Surfaces, conoids, parallel 289 ex.
Surfaces, conoids, ruled 280 ex. ex.
Surfaces, conoids, tubular 240 ex. ex.; "Envelopes"
Symbolic polynomial 113 41; 42; 43
Symbolic polynomial, divisor 114 41
Symbolic polynomial, greatest common divisor 113 41
Systems of differential equations 60 26; 31; Note
Systems of differential equations, covariant 80 Note
Systems of differential equations, existence theorem see "Existence theorem"
Systems of differential equations, first integrals see "First integrals"
Systems of differential equations, general integral 57 26
Systems of differential equations, integral curve 60 26
Systems of differential equations, invariant integrals see "Invariant integrals"
Systems of differential equations, multipliers 74 31; 32; 33
Systems of differential equations, singular integrals 208 74; "Systems
Systems of homogeneous linear equations 152 56
Systems of homogeneous linear equations, (D'Alembert's method) 161 58
Systems of homogeneous linear equations, adjoint system 156 57; 62
Systems of homogeneous linear equations, auxiliary equation 158 58
Systems of homogeneous linear equations, canonical form 161 59; 61; 65
Systems of homogeneous linear equations, constant coefficients 157 58; 58
| Systems of homogeneous linear equations, fundamental system of integrals 153 56
Systems of homogeneous linear equations, periodic coefficients 164 61; 62
Systems of homogeneous linear equations, reducible systems 165 62
Systems of homogeneous linear equations, relation to Jacobi's equation 163 60
Systems of homogeneous linear equations, substitutions 165 61
Systems of non-homogeneous linear equations 154 56
Systems of non-homogeneous linear equations, Cauchy's method 154
Systems of non-homogeneous linear equations, existence theorem 50 23
Systems of non-homogeneous linear equations, independent equations 265 88
Systems of non-homogeneous linear equations, X[Y(f)]-Y[X(f)] 266 88;
Systems of partial differential equations of first order 272 90
Systems of partial differential equations, homogeneous linear equations of the first oiMer 265 88
Systems of partial differential equations, normal form, general existence theorem 283 94; "Involutory
Tannery 139
Taylor 35 18
Total differential equations 51 24; 78; 83; 91
Total differential equations, Bertrand's method 232 80; ex.
Total differential equations, completely integrable 52 24; 78
Total differential equations, existence theorem 51 24
Total differential equations, geometric interpretation 227 78
Total differential equations, integral surface 227 78
Total differential equations, Mayer's method 229 79
Total differential equations, method of integration 225 78; 80
Total differential equations, Pdx + Qdy + Rdz = 0 230 80;
Trajectories 13 7; 7; 17; 36
Transcendental critical points 197
Transformations 82 32; 32;
Transformations of complete systems 267
Transformations, admitting a group of 89 96
Transformations, covariants 80 Note
Transformations, Cremona 198
Transformations, extended group of 94
Transformations, identical 88 34; 36
Transformations, infinitesimal 86 34; 36; 36;
Transformations, inverse 89 34
Tresse 286 94
Tubular surfaces 240 ex. ex.
Unicursal quartic 19 ex. 72
Variation of constants 107 89;
Weierstrass 45 21; 48
Weierstrass's elementary divisors 132
wronskian 129 47
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