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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
Taylor's theorem for an imaginary variable      Me.79
Taylor's theorem, a transformation of      C.78
Taylor's theorem, analogues of      J.6
Taylor's theorem, convergence of      C.60 74—76 J.28 L.73
Taylor's theorem, Cox's proof      CD.6
Taylor's theorem, deductions      G.12
Taylor's theorem, kinematic meaning of      J.36
Taylor's theorem, reduced forms of      C.84
Taylor's theorem, remainder      1503 An.59 C.13 J.17 N.60 63 Z.4
Terminology      LM.14
Ternary bilinear forms      G.21
Ternary cubics      AJ.2 3 C.56 90 CD.1 J.39 55 JP.31 32 L.58 M.1 4 9
Ternary cubics as four cubes      LM.10
Ternary cubics in factors      An.76 Q.7
Ternary cubics, parameter of the canonical transf.      LM.12
Ternary cubics, reduction to canonical form      C.81
Ternary cubics, transformation of      J.63
Ternary forms      At.68 G.1 9 18
Ternary forms with vanishing functional determinants      M.18
Ternary forms, order of discriminant      LM.3
Ternary quadric forms      At.65 C.92 94 96 G.5 8 J.20 40 70 77
Ternary quadric forms and corresponding hyperfuchsian functions      Ac.5
Ternary quadric forms, indefinite      J.47
Ternary quadric forms, indefinite, with 2 conjug. indeterminates      C.68
Ternary quadric forms, representation by a square      An.75
Ternary quadric forms, simultaneous system      J.80
Ternary quadric forms, table of reduced positive      J.41
Ternary quadric forms, transf. of      71 78 79 L.59 77 P.67
Ternary quartic forms      C.56 An.82 M.17 20
Terquem's th.      Q.4
Tesselation pr.      LM.2
Tesseral harmonic analogues      CP.13
Tetradrometry, differential f.      A.34 Z.5
Tetragon, analogue in space      CD.7
Tetrahedroid      J.87
tetrahedron      907 A.3 16 23 51 56 J.65 LM.4 Me.62 66 82 Mel.2 N.pr74 80 81 Q.5
Tetrahedron and 2 quadrics      Q.8
Tetrahedron and four spheres      LM.12
Tetrahedron and quadric      CD.8 thN.71
Tetrahedron of given surface      J.83
Tetrahedron theorems      A.9 10 31 N.61 66 Q.3 5
Tetrahedron with edges touching a sphere      N.74
Tetrahedron with opposite edges at right angles      Me.82
Tetrahedron with opposite edges, equal      N.79
Tetrahedron, 6 dihedral angles of, eq.      N.46 67
Tetrahedron, determined from coordinates of vertices      J.73
Tetrahedron, geo      Z.27
Tetrahedron, homologous      J.56
Tetrahedron, two      M.19
Tetrahedron, volume      5569 A.45 57 LM.2 N.67 Z.11
Tetrahedron, volume and normal, relation      N.54
Tetrahedron, volume and surface in c.c and g.c      A.53 CD.8 N.68
Tetratops      A.69
Theoretical value function      J.55
Theta-functions      Ac.3 C.ths90 J.61 66 74 M.17 Me.ap78 P.80 82 thsZ.12
Theta-functions as a definite integral      Me.76
Theta-functions in two variables      C.92 J.84 M.14 24
Theta-functions, addition theory      J.88 89 LM.13
Theta-functions, analogues of      C.93
Theta-functions, ap. to right line and triangle      A.3
Theta-functions, argument      J.73 4thM.14 M.16
Theta-functions, characteristic of, complex      AJ.6 C.88 J.28
Theta-functions, characteristic of, th. of Riemann      J.88
Theta-functions, double      LM.9 Q.
Theta-functions, double, and 16 nodal quartic surface      J.83 85 87 88
Theta-functions, formula of Riemann      J.93
Theta-functions, Jacobian, num. value      M.7 11
Theta-functions, modular integrals      trAn.52 54 J.71
Theta-functions, multiplication of      LM.1 M.17
Theta-functions, quadruple      AJ.6 J.83
Theta-functions, reduction of, from two variables to one      C.94
Theta-functions, representation of      M.6 Z.11
Theta-functions, transf. of      A.1 An.79 J.32 L.80 M.25
Theta-functions, transf. of, linear      Me.84 Q.21
Theta-functions, triple      J.87
Theta-series, constant factors of      J.98 Me.81
Theta-series, constant factors of, n-tuple      J.48
Three-bar curves      5430 LM.7 9 Me.76
Three-bar curves, triple generation of      Me.83
Toothed wheels      cnTE.28
Topology with tables      M.19 24
Tore and bi-tangent sphere      N.74
Tore, section of      G.10 N.59 61 64 65
Tore, section of, circular      56 65
Toroid      A.8
Toroid, rectif. &c.      A.9 N.44
Toroidal functions      P.81 Pr.31
Torse and curve      Q.11
Torse and sphere      G.12
Torse, circumscribing two quadrics      Me.72
Torse, depending on elliptic functions      Q.14
Torse, sextic      CP.11 Q.14
Torsion      A.19 62 65 J.60
Torsion of evolute      5754
Torsion of involute      5753
Torsion, angle of      5725
Torsion, constant      L.42
Torsion, inflected, infinite and suspended      5739 N.45
Tortuous curves      5721 Ac.2 C.19 43 58 cn62 G.4 5 21 J.16 59 93 JP.2 18 L.50 th51 52 M.5 19 th25 Mo.82 N.60 No.79 Q.4 5 7
Tortuous curves and developable surfaces      CD.5 L.45 M.13
Tortuous curves and right line method      5743
Tortuous curves on a one-fold hyperboloid      C.53
Tortuous curves with a max. or min. property      Mem.13
Tortuous curves with circular and spherical curvature in a constant ratio      L.51
Tortuous curves with coordinates rational functions of a parameter      M.3
Tortuous curves with homog. coordinates      Q.3
Tortuous curves with loops      M.18
Tortuous curves with the same polar surface, d.e      C.78
Tortuous curves, approximate coordinates of a point near the origin in terms of the arc      5755
Tortuous curves, circular curvature of      5722 An.60 CD.9 J.60 JP.15 Q.6
Tortuous curves, circular curvature of, locus of centre of do.      5741 5748—5750
Tortuous curves, cn. upon ruled cubics and quartics      C.53
Tortuous curves, cubic      J.27 80 M.20 Z.27
Tortuous curves, cubics      An.58 59 G.45 L.57
Tortuous curves, cubics, four tangents      M.13
Tortuous curves, cubics, of 3rd class      J.56
Tortuous curves, definitions      5721
Tortuous curves, determined from relation of curvature and torsion      A.65
Tortuous curves, elements of arc      N.73
Tortuous curves, generation of      C.94 L.83
Tortuous curves, generation of, by two pencils of corresponding right lines      G.23
Tortuous curves, quadrics      J.20
Tortuous curves, quartics      C.54
Tortuous curves, quartics, 1st species      J.93
Tortuous curves, quartics, cn. of two      C.53
Tortuous curves, quartics, intersection of quadrics      C.54
Tortuous curves, quintics      C.54 58
Tortuous curves, radii of curvature and torsion      5739 L.48 Mem.18
Tortuous curves, sextics, classification of      C.76
Tortuous curves, singularities of      C.67 J.42
Tortuous curves, spherical curvature      5728 5740 5747 A.19
Tortuous curves, the loci of similar osculating ellipsoids, d.e of same      C.78
Tortuous curves, triple, and their parallels      A.65
Tractrix      5279
Tractrix, area      E.35
Trajectory      5246 Mo.80
Trajectory of 3 homofocal conics      An.64
Trajectory of a displaced line; oscul. plane, &c.      C.70 76
Trajectory of a tortuous curve      L.43
Trajectory of meridian of surface of revolution      L.46
Trajectory, surface of points of an invariable figure whose displacement is subject to 4 conditions      C.76 77
Transcendental arithmetic      J.29
Transcendental curves      5250 An.76 M.22
Transcendental equations      C.5 59 72 94 G.6 10 J.22 L.38 N.55 56
Transcendental equations without a root      J.73
Transcendental equations, mechanical solution      CP.4
Transcendental equations, separation of roots by "compteurs logarithmiques"      C.44
Transcendental functions      1401 A.37 C.86 J.3 th9 20 L.51 see
Transcendental functions and definite integrals      P.57
Transcendental functions of alg. differentials      J.23 L.44
Transcendental functions which result from the repeated integration of rational fractions      J.30
Transcendental functions whose derivatives are determined by cubic eqs., summation of the same      J.11
Transcendental functions, arithmetical properties      M.22
Transcendental functions, classification of      L.37
Transcendental functions, connected with elliptic      C.17
Transcendental functions, decomposition into factors by calculus of residues      C.32
Transcendental functions, expansion of      J.16
Transcendental functions, integral      C.94 95 G.23 J.98
Transcendental functions, reduction of      Me.72
Transcendental functions, squares of      Me.72
Transcendental functions, theorem of Sturm      L.36
Transformation by series doubly infinite      An.56
Transformation formulae      J.32
Transformation in geometry      C.71 J.67 JP.25
Transformation in geometry, descriptive      G.13 Z.9
Transformation in rational space      An.73 LM.3
Transformation of $\tan^{-1} \surd \frac{a - c}{c + x} +$ symmet. y, z      CD.9
Transformation of coordinates      pl.4048 cb.5574—5581 A.13 A.26 CM.1 J.2 JP.7 N.63
Transformation of coordinates in 3 dimensions      A.13 Q.2 J.8
Transformation of coordinates, rectangular into elliptic      Mel.4
Transformation of curves      L.49 50
Transformation of differential equations      Me.82
Transformation of equations      A.40 N.64
Transformation of equations of a characteristic eq. by a discriminant      An.56
Transformation of equations, 3 variables      G.5
Transformation of equations, quadric      CM.2 N.75 M.23
Transformation of equations, simultaneous      Q.11
Transformation of figures in a plane      A.4 N.64 77
Transformation of figures in a plane in space      C.94 95 96 N.79 80
Transformation of figures in a plane, double reciprocal by normals to a sphere      C.56
Transformation of functions      An.50
Transformation of functions by substitution      Mem.31
Transformation of functions in an inf. series      A.3
Transformation of functions, $(ay - bx)^{2} + (bz - cy)^{2} + (cx - az)^{2}$      CM.1 2
Transformation of functions, quadric      Q.2
Transformation of functions, quadric, quadric differential      J.70
Transformation of functions, two variables      Mem.11
Transformation of powers into binomial coefficients      No.75
Transformation of product of n factors      An.51
Transformation of rectilineal space coordinates      J.63
Transformation of surfaces      M.21 N.69 Q.12
Transformation of symbolic functions into isotropic means      C.43
Transformation of variables      G.5 No.78
Transformation, bilinear      M.2
Transformation, birazionale      G.7
Transformation, birazionale, of 6th deg. in 3 dimensions      LM.15
Transformation, contact      M.8
Transformation, Cremona's      M.4
Transformation, homograpbic plane      L.61
Transformation, linear      582 1794 CD.1 6 CM.3 4 M.2 Mo.84
Transformation, linear, groups of      M.12 16
Transformation, methods of      C.92
Transformation, methods of, which preserve an invariable relation between derivatives of the same order      C.82 L.76
Transformation, methods of, which preserve the lines of curvature      C.92
Transformation, modulus of      1604
Transformation, orthogonal      584 1799
Transformation, orthogonal, for equations of dynamics      C.67
Transformation, plane      M.5
Transformation, plane and in space      G.16
Transformation, quadratic, of an elliptic differential      M.7
Transformation, reciprocal      C.92 G.17 N.64 82 83
Transformation, rectangular      LM.14
Transformation, space, for representation of alg. surfaces      M.3
Transformation, Tschirnhausen's      An.58 P.62 65 Pr.11 14
Transformation, Tschirnhausen's, ext. to quintics and higher      E.1 4 J.58
Transformation, unimodular      1605
Transitive function of 24 quantities      L.73
Transitive function, doubly, of 5 or 6 variables      C.21 22
Transitive function, reduction to intransitive      C.21
Transversals      967—974 A.13 18 27 30 56 CD.5 CM.1 J.8 G.22 Me.t.c68 75 N.43 48 TE.t.c24
Transversals of plane alg. curves      Z.19
Transversals of spherical triangle and quadrangle      A.45
Transversals of two points      A.66
Transversals, orthogonal      AJ.3
Transversals, parallel      A.13 57
Trees, analytical      AJ.4
Triads of once-paired elements      Q.9
triangle      700 A.17 19 22 29 33 36 43 cn46 61 G.21 J.50 M.geo17 Me.q.c62 N.42 43
Triangle and circle, ths.      A.9 40 47 60 Q.7 8 10
Triangle and circle, ths., and 3 concentric circles      Me.85
Triangle and circle, ths., of 3 intersecting circles      Q.21
Triangle and conic      N.70
Triangle and point      Q.5
Triangle and polars, circle      G.11
Triangle and polars, conic      Q.7
Triangle and polars, of mid-points of sides      t.cQ.8
Triangle and right line      A.59
Triangle of constant species      977
Triangle of reference in t.c      4006
Triangle, angles of      677 738—745 A.65 P.28
Triangle, angles of, difference      Q.8
Triangle, angles of, division      A.51 58
Triangle, angles of, sum      geo960 C.69 70
Triangle, area      707 4036—4041 A.45 57 CM.2 Mem.13
Triangle, bisectors of angles      709 742 932 4628—4630
Triangle, bisectors of sides      738 922i 951 4631 Mem.pr10 13
Triangle, central line      957 4644
Triangle, circle and parabola      Q.15
Triangle, construction of      960
Triangle, equilateral, sum of sqs. of distances of any point from its vertices      923 A.69 gz1094
Triangle, formed by joining the feet of bisectors of a triangle      A.64
Triangle, Gauss's equations for a plane triangle      A.5
Triangle, notation      4629 E.44
Triangle, orthocentre      952 4634
Triangle, pedal line of      Me.83
Triangle, perpendicular bisectors of sides      713 4639
Triangle, perpendiculars on sides      952 4633 Mem.13
Triangle, quadrisection of      Mem.9
Triangle, rational      A.51 56
Triangle, remarkable points of      955—959 see
Triangle, remarkable points of five      A.52 66 67 E.28 30 40
Triangle, remarkable points of four      A.47
Triangle, remarkable points of nine      LM.14 N.70 73 83 Z.11 15
Triangle, remarkable points of two      A.48
Triangle, scalenity of      Me.66 68
Triangle, sides of, bisectors      A.17
Triangle, sides of, containing conjugate poles with respect to four conics      An.69
Triangle, sides of, cubic eq. for in terms of $\triangle$, R, and r      J.20
Triangle, sides of, division of      A.63 N.83
Triangle, similar      C.79
Triangle, similar under 3 or 4 conditions      C.78
Triangle, six-point circle      Q.4 5
Triangle, solution of      718 859 A.3 51 J.44 TE.10
Triangle, symmetrical properties      A.57 Pr.11
Triangle, theorems      A.9 43 45 55 57 60 61 63 68 J.68 71 pr28 Q.9 t.c7 8 geo1 2 4
Triangle, theorems, relating to triangles of same perimeter under four other conditions      C.84
Triangular numbers      287 E.30 J.69 L.ths63
Triangular prism      th N.42
Triangular pyramid      At.19 No.pr32
Tricircular and tetraspheric geometry      An.77
Trigon. in t.c      4006
Trigonometry      600 A.1 2 8 11 13 30 G.13 extM.35
Trigonometry formulae      627 700 823 A.27 33 65 Me.81 gz1 N.46 77 80 geoQ.5 10
trigonometry functions      P.1796
Trigonometry functions in binomial factors      L.43
Trigonometry functions in factorials      A.43
Trigonometry functions in partial fractions and products      Z.13
Trigonometry functions, functions closely allied to      A.27
Trigonometry tables, cn      A.1 23 25
Trigonometry theorems      A.2 50 51 Q.pr7
Trigonometry theorems on $\left( 1 + \frac{ix}{a} \right) \left( 1 + \frac{ix}{b} \right) ...$      Q.15 16
Trigonometry theorems on product of 4 sines      Me.81
Trihedron about a parabola, locus of vertex      N.63
Trihedron and quadric      N.71
Trihedron and tetrahedron      A.57
Trilinear forms      C.92 93
Trilinear relation of plane systems      J.98
Triplicate-ratio circle      4754b E.40 42 43 44
Twist of a bar      Me.80
Twisted surface      see "Scrolls"
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