INDEX 



The numbers refer to pages. 



PAGE 



Absolute convergence 109 



Addition formulas, Elliptic Functions 250 



Algebraic equations 2 



Algebraic identities I 



Alternating series no 



Archimedes, spiral of 52 



Area of polygon 36 



Arithmetical progressions 26 



Asymptotes to plane curves 40 



Axial vector 95 



B 



Ber and Bei functions. 204 



Bernoullian numbers 25 



polynomial 140 



Bessel functions 196 



addition formula 199 



multiplication formula 199 



references 213 



Bessel- Clifford differential equation . . 205 



Beta functions 132 



Binomial coefficients 19 



Binormal 59 



Biquadratic equations 10 



Bromwich's expansion theorem 212 



Cassinoid 53 



Catenary 52 



Cauchy's test 109 



Center of curvature, plane curves 39 



surfaces 56 



Change of variables in multiple inte- 

 grals 17 



Characteristic of surface 56 



Chord of curvature, plane curves 39 



Circle of curvature 39 



Circular functions, see Trigonometry 



Cissoid 53 



Clairaut's differential equation 166 



Coefficients, binomial 19 



Combinations 17 



Comparison test 109 



PAGE 



Complementary function 167 



Concavity and convexity of* plane 



curves 38, 42 



Conchoid 53 



Conditional convergence 109 



Confluent hypergeometric function 185 



Conical coordinates 104 



Consistency of linear equations. ...... 15 



Convergence of binomial series 117 



tests for infinite series 109 



Co variant property 17 



Cubic equations 9 



Curl 93 



Curvature, plane curves 38 



space curves 58 



Curves, plane 36 



space 57 



Curvilinear coordinates 99 



Curvilinear coordinates, surfaces of 



revolution 106 



Cycloid 51 



Cylindrical coordinates 32, 102 



Cylinder functions, see Bessel functions 197 



D 



d'Alembert's Test 109 



Definite integrals, computation by dif- 

 ference functions 225 



Simpson's method 221 



expressed as infinite series 134 



de Moivre's theorem 66 



Derivatives 155 



of definite integrals 156 



of implicit functions 161 



Descartes' rule of signs 5 



Determinants 1 1 



Difference functions 222 



Differential equations 162 



numerical solution 220 



Differentiation of determinants 13 



Discriminant of biquadratic equa- 

 tion n 



Divergence 93 



Double periodicity of elliptic functions 250 



