<p>Table of Contents</p>
<p>1. An Advice to Students</p>
<p>2. Exponential and Logarithmic Series</p>
<p>3. Complex Quantities, De Moivre' Theorem</p>
<p>4. Expansion of sin ?0 and cos? 0 and Series for sin0 and cos0 in Powers of 0</p>
<p>5. Expansions of Sines and Cosines of Multiple Angles and of Power of Sines and Cosines</p>
<p>6. Exponential Series for Complex Quantities, Circular Functions for Complex angles, Hyperbolic Functions</p>
<p>7. Lograrithms of Complex Quantities</p>
<p>8. Gregory's Series: Calculation of the Values of ?</p>
<p>9. Summation of Series, Expansions in Series</p>
<p>10. Expates XVII</p>
<p>I 11. Resolution into Factors. Infinite Products for sin 0 and cos0 Errors of Observation</p>
<p>13. Miscellaneous Propositions</p>
<p>14. Inverse Circular Functions</p>