INDEX 



313 



PAGE 



Maxima and minima 152 



Mehler's integrals 193 



Minor of determinant 14 



Multinomial theorem 120 



Multiplication of determinants 12 



Multiple roots of algebraic equations . . 5 



N 



Neoid 53 



Neumann's expansion, zonal har- 

 monics 194 



Newton's interpolation formula 22 



method for roots of equations 7 



theorem on roots of algebraic equa- 

 tions 2 



Normal to plane curves 36 



Numbers, Bernoulli's 140 



Euler's 141 



Numerical series. 140 



Numerical solution of differential equa- 



tions. 



Oblate spheroidal coordinates 107 



Operational methods 210 



Orthogonal curvilinear coordinates .... 100 



II function, Gauss's 133 



Parabola 45 



Parabolic coordinates 107 



Parabolic cylinder coordinates 105 



Parabolic spiral 53 



Parallelepipedon, volume of 92 



Partial fractions 20 



Particular integral 167 



Pedal curves 40 



Pendulum 247 



Permutations and combinations 17 



Plane 53 



Plane curves ; 36 



polar coordinates 41 



Plane geometry 34 



Points of inflexion 39, 42 



Polar coordinates 32, 101 



Plane curves 41 



Polar subtangent 37 



subnormal 37 



normal 37 



tangent 37 



Polar vector 95 



PAGE 



Polynomial 2 



Bernoullian 25 



series ng 



Principal normal to space curves 58 



Products, finite of circular functions. . 84 



limiting values of 152 



of two series no 



Progressions 26 



Prolate spheroidal coordinates 107 



Quadratic equations 9 



Quadriplanar coordinates 33 



R 



Raabe's test 109 



Radius of curvature, plane curves. . . 38, 42 



space curves 58 



surfaces 55 



Radius, of torsion 59 



Reciprocal determinants 14 



Resolution into partial fractions 20 



Reversion of series 116 



Rodrigues' formula 193 



Roots of algebraic equations 2 



transcendental equations 84 



Rot 93 



Routh's rule. . 6 



Scalar product. . . 91 



Schlomilch's expansion, Bessel func- 

 tions 201 



Series, finite, circular functions 81 



infinite 109 



special finite 26 



numerical 140 



of Bessel functions 201 



hypergeometric 209 



of zonal harmonics 194 



Simpson's method 221 



Singular points 41 



Skew determinants 14 



Skew-symmetrical determinants 15 



Solid geometry 53 



Space curves 57 



Spherical polar coordinates 101 



Spherical triangles 78 



Spheroidal coordinates 107 



Spiral of Archimedes 52 



Stirling's formula 28 



