CONTENTS 



PAGE 



SYMBOLS . . viii 



I. ALGEBRA i 



II. GEOMETRY 29 



III. TRIGONOMETRY 61 



IV. VECTOR ANALYSIS 91 



V. CURVILINEAR COORDINATES 99 



VI. INFINITE SERIES 109 



VII. SPECIAL APPLICATIONS OF ANALYSIS 145 



VIII. DIFFERENTIAL EQUATIONS 162 



IX. DIFFERENTIAL EQUATIONS (Continued) 191 



X. NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS 220 



XI. ELLIPTIC FUNCTIONS . . 243 



Introduction by Sir George Greenhill, F.R.S 245 



Tables of Elliptic Functions, by Col. R. L. Hippisley .... 259 



INDEX 311 



vii 



