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Carr G.S. — Formulas and Theorems in Pure Mathematics
Carr G.S. — Formulas and Theorems in Pure Mathematics



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Название: Formulas and Theorems in Pure Mathematics

Автор: Carr G.S.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Second Edition

Год издания: 1970

Количество страниц: 988

Добавлена в каталог: 07.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Potential of elliptic disc, law, $r^{-3}$      Q.14
Potential of homogeneous polyhedra      J.69
Potential, a related integral      L.45
Potential, cyclic-hyperbolic, tables      J.4 6 7 8 9
Potential, elliptic      J.47
Potential, Gauss's f. and theory      Z.84
Potential, gz. of first and second      L.79
Potential, history of      J.86
Potential, Jellett's eq. and ap.      Q.16
Potential, Newton's      M.11 13 16
Potential, one-valued      J.64
Potential, p.d.e of      C.90
Potential, Poncelet's ths      Z.3
Potential, surfaces      J.54
Potential, surfaces, conicoids, &c.      79
Potential, vector      Me.80
Pothenot's problem of the sphere      A.44 47 54
Power remainders      M.20
Powers and determinants, relation      Z.24
Powers of negative quantics      Me.73
Powers of polynomials      JP.15
Powers, angular functions, &c.      J.7
Prepotentials      P.75
Prime divisors of quartics      J.3
Prime factors of numbers      J.51 N.71 75
Prime-pairs      Me.79
PRIMES      349—378 A.2 19 AJ.7 fAn.69 C.ths13 49 50 f63 96 G.5 J.th12 th14 20 L.52 54 th79 LM.2 M.21 Me.41 N.46 56 Pr.5 Q.5
Primes in a composite number      C.32
Primes in ar.p      Z.6
Primes of a geo. form, limit of      C.74
Primes on that prime number $\lambda$ for which the class-number formed from the $\lambda th$ roots of unity is divisible by $\lambda$      Mo.74
Primes, $m^{2}+kn^{2}$ with k=20, 36, 44, 56, or 116, and n an odd number      L.65
Primes, calculation of      J.10
Primes, calculation of, in 1st million      M.25
Primes, distribution of, ap.of recurring series      C.82
Primes, division of a prime 4n+1 into sum of squares      J.50
Primes, division of a prime 4n+1 into sum of squares, ditto of 8n+3, 7n+2, and 7n+4      J.37
Primes, even number=sum of 2 odd primes(?)      E.10 N.79
Primes, Fibonacci's problem      LM.11
Primes, Fibonacci's problem of the following forms and theorems respecting them, $4m^{2}+5n^{2}$ with m odd      L.66
Primes, Fibonacci's problem of the following forms and theorems respecting them, 120k+31, 61, 79, or 109      L.61
Primes, Fibonacci's problem of the following forms and theorems respecting them, 12k+5      L.61 63
Primes, Fibonacci's problem of the following forms and theorems respecting them, 168k+43, 67, or 163      L.63
Primes, Fibonacci's problem of the following forms and theorems respecting them, 16k+11      L.60—62
Primes, Fibonacci's problem of the following forms and theorems respecting them, 16k+13      L.61
Primes, Fibonacci's problem of the following forms and theorems respecting them, 16k+3      L.61
Primes, Fibonacci's problem of the following forms and theorems respecting them, 16k+7      L.60 61
Primes, Fibonacci's problem of the following forms and theorems respecting them, 20k+3, 20k+7      L.63 64
Primes, Fibonacci's problem of the following forms and theorems respecting them, 24k+1, 5, or 7      L.61
Primes, Fibonacci's problem of the following forms and theorems respecting them, 24k+11 or 19      L.60
Primes, Fibonacci's problem of the following forms and theorems respecting them, 24k+13      L.61
Primes, Fibonacci's problem of the following forms and theorems respecting them, 40k+11 or 19      L.60
Primes, Fibonacci's problem of the following forms and theorems respecting them, 40k+27      L.61
Primes, Fibonacci's problem of the following forms and theorems respecting them, 40k+3      L.61
Primes, Fibonacci's problem of the following forms and theorems respecting them, 40k+7 or 23      L.60 61
Primes, Fibonacci's problem of the following forms and theorems respecting them, 6k+1      J.12
Primes, Fibonacci's problem of the following forms and theorems respecting them, 8k+1      L.61 62
Primes, Fibonacci's problem of the following forms and theorems respecting them, 8k+3      L.58 60 61 62
Primes, Fibonacci's problem of the following forms and theorems respecting them, 8k+5 or 7      L.60 61
Primes, Fibonacci's problem of the following forms and theorems respecting them: 4k+1, 4k+3      L.60
Primes, general formula for      C.63
Primes, irreducibility of $1+x+...+x^{p-1}$, when p is a prime      J.29 67 L.50 N.49
Primes, law of reciprocity between two, analogue      J.9
Primes, logarithms of (2 to 109)      page 6
Primes, number in a given quantity      Mo.59
Primes, number infinite      357 Mo.78
Primes, number of digits in their reciprocals      Pr.22 23
Primes, number within given limits      A.64 C.95 M.2 Z.5
Primes, product of n, th      N.74
Primes, relative      349—350 355 358 373 J.70 L.49
Primes, tables of, $M\equiv a^{\alpha}b^{\beta}$ for a prime or composite modulus      Q.9
Primes, tables of, from $10^{8}$ to 100001699, of 153 of the 10th million, of cube roots of to 31 places      Me.78
Primes, tables of, from $10^{8}$ to 100001699, of 153 of the 10th million, of sums of reciprocals and their powers      Pr.33
Primes, totality of within given limits      AJ.4 L.52
Primes, transformation of linear forms of into quadratic forms      C.87
Primes, up to $10^{9}$      M.3
Primitive numbers      thC.74
Primitive roots      C.64 JP.11 fL.54 taJ.45
Primitive roots of binomial eqs.      thsL.40 N.52
Primitive roots of primes      J.49
Primitive roots of primes and their residues      Me.85
Primitive roots of unity      C.92
Primitive roots of unity, Abel's theorem      An.56
Primitive roots of unity, divisors of functions of periods of      C.92
Primitive roots of unity, period, Jacobi's method      C.70
Primitive roots, product of, for an odd modulus      J.31
Primitive roots, sum of, for an odd modulus      J.31
Primitive roots, sum of, for an odd modulus, table, for primes below 200      Mem.38
Primitive roots, table of, for primes from 3 to 101      J.9
Principal axes of a body      5926 5960 5972 5977 J.5 JP.15 L.47 N.46
Prism: volume of      A.6
Prismatoids      A.39
Prismatoids, volume of      Z.23
Prismoids      A.39
probability      309 A.12 19 47 C.65 97 CP.9 E.27 30 G.17 I.15 J.26 30 33 34 36 42 50 L.79 N.51 73 Z.2
Probability of hypothesis after the event      324 Mel.3
Probability problems      A.61 64 CD.6
Probability problems in analysis      J.6
Probability problems on decisions of majorities      L.38 42
Probability problems, de l'aiguille, &c.      L.60
Probability problems, duration of life      CM.4
Probability problems, E. all the volumes      G.16 L.37 Me.4 6 Q.9
Probability problems, rouge et noir      J.67
Probability theorems: Bernoulli's      LM.5 P.62 TE.9 21
Probability, drawing black and white      I.14 L.41
Probability, errors in Laplace      p.279
Probability, errors in Laplace and Poisson      p.209 CP.6
Probability, games      A.11
Probability, games, head and tail      C.94
Probability, local      P.68 exE.7
Probability, notation      LM.12
Probability, position of double stars      Pr.10
Probability, principal term in the expansion of a factorial formed from a large number of factors      C.19
Probability, random lines      Pr.16
Probability, random lines, E. frequently. repeated trials      317—321 C.94
Probability, statistics      L.38
Probability, testimony and judgment      TE.21
Products continued      Me.77
Products of 2 sums of 4 squares (Euler)      Q.16 17
Products of 4 consecutive integers      N.62
Products of differences      thQ.15
Products of inertia      5906
Products of linear factors      C.9
Products of n quantities in terms of sums of powers      Me.71
Products, infinite, convergency of      A.21
Products, infinite, convergency of, transf. of      C.17
Products, systems of      L.56
Progressions      79—93 An.64 C.20 G.6 7 11
Progressions of higher order      G.12
Progressions with n=a fraction      N.42
Projection      1075 4921 A.3 6 12 prsJ.70 Q.21 pr13
Projection and new geometry      A.1
Projection of a cubic surface      M.5
Projection of a curved surface on a plane      J.67
Projection of an ellipsoid on a plane      J.59
Projection of conics      4921—4935 A.66 J.37 86
Projection of curves      J.66 Z.13
Projection of curves, loci of centres      A.6
Projection of curves, on spheres      Q.14
Projection of curves, tangents to      cnL.37
Projection of figures in one plane      A.1
Projection of Gauss      Mel.2
Projection of one line on another      5529
Projection of one line on another, on a plane      A.6
Projection of ruled quartics      M.2
Projection of shadows      N.56
Projection of skew hyperboloid      Me.75
Projection of solids      Man.84
Projection of surface of tetrahedron on a sphere      J.70
Projection of surfaces on a plane      M.5
Projection of the sphere      1090 AJ.2
Projection of two rectangular lines      4934
Projection, central      G.13
Projection, central and parallel, of quadrics into circles      A.52
Projection, central, derivation from orthogonal      A.62
Projection, gauche      N.66
Projection, map: Mercator's      1093 A.50 G.18 JP.24 N.79
Projection, orthogonal      1087
Projection, plagiographic      A.8
Projection, stereographic      1090 A.30—32 L.42 54
Projective and perspectivity of higher degree in planes      J.42
Projective correspondence between two planes and two spaces      G.22
Projective equations of a surface, relation to tg.e      E.2
Projective figures on a quadric      A.18
Projective generation of alg. surfaces      A.1 2
Projective generation of alg. surfaces, of curve forms      An.14 J.54 M.25 Z.18
Projective geometry      A.8 An.75 At.75 78 G.12—14 17 J.8 M.17 18
Projective geometry and P.D. eqs.      A.1
Projective geometry, loci and envelopes      G.19
Projective geometry, ths      N.77
Projective geometry, ths of Cremona      G.13 14 thZ.11
Projective point series      J.91
Proportion      68 A.8 G.6 13 TE.4
Pseudosfera      G.10
Ptolemy's theorem      A.2 67 At.19 J.13 LM.12
Ptolemy's theorem, ext. to ellipse      A.30
Ptolemy's theorem, inverse of      A.5
Pure mathematics, address by H.J.S. Smith, F.R.S.      LM.8
Pyramid and higher n-drons      prsA.9
Pyramid and prism sections, collineation, &c.      A.9
Pyramid, vertices of      A.2
Pyramid: triangular      A.1 3 21 28 32 36 J.3 volA.14
Pythagorean Theorem      A.11 17 20 24 gzJ.26 N.62
Pythagorean theorem, spherical analogue      A.44 N.52
Pythagorean triangles      taA.1 E.20
Quadrangle      prA.55 C.95
Quadrangle and groups of conics      A.1
Quadrangle metrical and kinematical properties      C.95
Quadrangle of chords and tangents      A.2
Quadrangle of two intersecting conics, area      LM.8
Quadrangle, differential relation of sides      Me.77
Quadrangle, dualism in the metric relations on the sphere and in the plane      Z.6
Quadratic equations      45 A.24
Quadratic equations with imaginary coefficients      A.8
Quadratic equations, graphic solution      Me.76
Quadratic equations, real roots of      J.61
Quadratic equations, solution by continued fractions      L.40
Quadratic equations, solution by successive approximation      N.74
Quadratic forms      trA.15 Ac.7 C.85 J.27 f39 54 56 76 86 L.51 73 M.6 23 Mo.68 74 thsAn.54 J.53 M.20 Z.16 19 see
Quadratic forms, Dirichlet's method      Mo.64
Quadratic forms, having one at least of the extreme coefficients odd      L.67 69
Quadratic forms, Kronecher's      L.64
Quadratic forms, multiplication of      An.60
Quadratic forms, number of the genera of      J.56
Quadratic forms, number which belong to a real determinant in the theory of complex numbers      J.27
Quadratic forms, odd powers of sq. root of $1-2\eta U+\eta^{2}$      Mel.5
Quadratic forms, positive      A.11
Quadratic forms, reduction of      J.39 L.48 56 57
Quadratic forms, relation, anal. investigation      Z.14
Quadratic loci, intersection of      AJ.6
Quadratrix      5338
Quadratrix of a curve      C.76
Quadratrix, tangent, cn      N.76
Quadrature      5871—5883 A.26 An.50 CD.ths5 9 E.6 J.34 L.54 Mem.24 41 N.42 f55 54 N.75 TI.1
Quadrature by lines of equal slope      5881
Quadrature from integrals of differentials in two variables      M.4
Quadrature of a small geodesic triangle, Gauss's th      J.16 58
Quadrature of the circle      Me.74 Pr.7 20
Quadrature with equal coefiicients, f.      C.90
Quadrature, approximate      C.95 N.58
Quadrature, Cote's method      N.56
Quadrature, Gauss's method      A.32 C.84 90 J.gn55 56
Quadrature, Laplace's formula, f.d.c      3778
Quadrature, quadrics      CD.1 L.63
Quadrature, quadrics, formed by intersecting cylinders      An.65
Quadrature, sphero-conic      J.14
Quadratures which depend upon an extended class of d.e with rational coefficients      C.92
Quadric cones      5590 5618 5654 5697 N.66
Quadric cones, locus of vertex      C.52
Quadric cones, through six points      C.52
Quadric functions or forms      A.13 38 C.44 55 78 89 95 J.47 JP.28
Quadric functions or forms in coefficients and in indeterminate complexes      J.24
Quadric functions or forms in n variables      Me.2
Quadric functions or forms in n variables, disappearance of products      N.55
Quadric functions or forms with two series of variables      C.94
Quadric functions or forms, arith 32, positive 99      algL.74 Mo.58 see
Quadric functions or forms, bipartite      P.58
Quadric functions or forms, equivalence of      C.93
Quadric functions or forms, quaternary      An.59 L.54 M.5 13
Quadric functions or forms, quaternary, whose det. < 0      C.96
Quadric functions or forms, quaternary, whose det. < 0 and corresponding groups of hyperabelians      C.98
Quadric functions or forms, reduction of      C.91 93 96 G.5
Quadric functions or forms, reduction of, to sum of squares      Mel.5
Quadric functions or forms, represented by others      C.93
Quadric functions or forms, transf. of      C.86 CD.4 G.1 LM.16 N.66 Q.17
Quadric functions or forms, transf. of, invariability in number of pos. and neg. squares      J.53
Quadric functions or forms, transf. of, reciprocal      J.50
Quadric surfaces      5582—5703 A.3 4 12 16 45 56 An.52 geo60 At.51 C.76 CD.3 G.13 14 J.1 18 38 f42 63 69 89 JP.6 L.39 43 50 M.2 23 geoMe.74 N.56 57 58 59 60 61 77 Z.5 cn13
Quadric surfaces and their umbilics      C.54
Quadric surfaces of constant sectional area      N.43
Quadric surfaces of revolution      N.72 81
Quadric surfaces of revolution, through 5 points      66 79
Quadric surfaces through 12 points      G.17 22
Quadric surfaces through 9 points or under 8 conditions      C.62
Quadric surfaces through 9 points or under 9 conditions      A.17 CD.4 J.24 62 68 L.58 59 Q.8 Z.25
Quadric surfaces through a twisted quintic curve      E.38
Quadric surfaces without foci      L.36
Quadric surfaces, analogy with conics      Me.72
Quadric surfaces, anharmonic section of      G.12
Quadric surfaces, bifocal chords of      CD.5
Quadric surfaces, central equations      5599—5672
Quadric surfaces, central sections      5650
Quadric surfaces, central sections, area      5650
Quadric surfaces, central sections, axes      5651
Quadric surfaces, central sections, locus of focus      N.66
Quadric surfaces, centre, coordinates of      5690 A.16
Quadric surfaces, circular sections      5596 5601 5606 5619 C.43 CD.1 CM.1 E.30 J.47 65 71 85 N.51
Quadric surfaces, common enveloping cone      G.6
Quadric surfaces, condition for a cone      5699
Quadric surfaces, conjugate diameters      5637 N.42 61
Quadric surfaces, conjugate diameters, parallel      G.1
Quadric surfaces, conjugate diameters, parallelopiped on them      vol.5648
Quadric surfaces, conjugate diameters, parallelopiped on them, do. of reciprocals of the perpendiculars on its faces      5644
Quadric surfaces, conjugate diameters, parallelopiped on them, sum of squares of areas of its faces      5645
Quadric surfaces, conjugate diameters, rectangular system      L.58
Quadric surfaces, conjugate diameters, sum of squares of their reciprocals      5643
Quadric surfaces, conjugate diameters, sum of squares of their reciprocals, ditto of their projections on a line or plane      5646
Quadric surfaces, construction and classification by projective figures      A.9
Quadric surfaces, correlation of points and planes on      CD.5
Quadric surfaces, cubature of      6126—6165 A.14
Quadric surfaces, diameters      5677 5688
Quadric surfaces, diametral plane      5636 gn.eq 5689
Quadric surfaces, director-sphere of      Q.8
Quadric surfaces, duplicate      CD.6
Quadric surfaces, enveloping cones of      5664—5672 5697
Quadric surfaces, equation between the coeffs.      J.45
Quadric surfaces, focales, a property from the theory of      L.45
Quadric surfaces, general eq.      5673 CD.5 CM.4 LM.12 13 M.1 Me.64
Quadric surfaces, general eq., coefficients      A.1
Quadric surfaces, general eq., condition for a cone      5699
Quadric surfaces, general eq., condition for a sphere      Q.2
Quadric surfaces, generation      5607—5624 N.47 75
Quadric surfaces, generation, Jacobi's      J.73
Quadric surfaces, homofocal      L.60
Quadric surfaces, indices of points, lines, and planes, theory      N.70
Quadric surfaces, intersection of three      5661 J.73 TN.69
Quadric surfaces, intersection of two      5660 C.64 G.6 M.15 Q.10
Quadric surfaces, intersection of two, parameter representation of      M.15
Quadric surfaces, intersection of two, ruled      N.83
Quadric surfaces, intersection of two, tangent to      LM.13
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