314 



INDEX 



PAGE 



Stokes's theorem 95 



Sturm's theorem 6 



Subnormal 3 6 



Subtangent 36 



Sums, limiting values of 151 



Summation formula, Euler's. . , 25 



Surfaces 55 



Symbolic form of infinite series 112 



Symbolic methods in differential equa- 

 tions 173 



Symmetrical determinants 14 



Symmetric functions of roots of 



algebraic equations 'a 



Tables, binomial coefficients 20 



hyperbolic functions 72 



trigonometric functions 62 



Tangent to plane curves 36 



Taylor's theorem in 



Theta function 248, 251 



Toroidal coordinates 108 



Tractrix 53 



Transcendental equations, roots of 84 



Transformation of coordinates 29 



determinants 12 



PAGE 



equations 4 



infinite series 113 



Triangles, solution of plane 77 



spherical 78 



Trigonometry 61 



Trilinear coordinates 33 



Trochoid 51 



U 



Uniform convergence no 



Unit vector 92 



Variation of parameters 180 



Vectors, axial 95 



polar 95 



functions, linear 96 



Vector product 91 



W 



Witch of Agnesi 53 



Zeta function 255 



Zonal harmonics 191 



