INDEX 485 



run 



Differentiation of algebraic functions ..... 82 



hyperbolic functions ..... 87 



inverse trigonometrical functions ... 86 



trigonometrical functions .... 84 



Direction cosines of a line 64 



Distribution of shear stress ....... 303 



Division of complex quantities ...... 39 



Effect of heat on a pendulum . . . . . . .12 



l-'.li i tikal examples involving differential equations . . 331,360 

 Kliiniu;itkm of constants ....... 319 



Equation of the normal . . . . . . . 1 30 



Equation of the tangent . . . . . . . .130 



Euler's formula) for struts ....... 357 



Examples on maxima and minima . . . . . .120 



Exponential form of cos + i sin . . . . . . 53 



Exponential series . . . . . . . . .13 



Factors. .......... 1 



Finite differences ......... 403 



Forced vibrations ......... 369 



Formation of series . . . . . . . .111 



Fourier's series ......... 385 



General determination of laws ....... 452 



Graphical representation of a complex quantity .... 48 



Harmonic analysis ......... 389 



Hyperbolic functions . . . . . . 67, 87, 157 



Hypothetical steam-engine diagram ...... 344 



" i " as an operator ........ 50 



Integration by parts ... 183 



of algebraic fractions . . . . . .149 



of hyperbolic functions . . . . . .157 



of periodic functions ...... 376 



of sin* and cos* 6 . ... 178 



of trigonometrical functions .... 157, 173 



using partial fractions . . . . . .145 



Interpolation. ......... 409 



Irregular areas ......... 247 



Lengths of curves .... .... 268 



Limits of integration . . . . . . . .194 



Logarithmic differentiation ....... 91 



Logarithmic series ......... 15 



Maclaurin's Theorem ........ 107 



Mathematical representation of a vector ..... 438 



Maximum point . . . . . . . . .116 



Mid-ordinate rule ......... 248 



Minimum point . . . . . . . . .117 



Momental ellipse ......... 227 



Moment of inertia . . 222 



