<p>Table of Contents</p>
<p>1. Ratio</p>
<p>2. Proportion</p>
<p>3. Variation</p>
<p>4. Arithmetical Progression</p>
<p>5. Geometrical Progression</p>
<p>6. Harmonical Progression , Theorems Connected with The Progressions</p>
<p>7. Scales of Notation</p>
<p>8. Surds and Imaginary Quantities</p>
<p>9. The Theory of Quadratic Equations</p>
<p>10. Miscellaneous Equations</p>
<p>11. Permutations and Combinations</p>
<p>12. Mathematical Induction</p>
<p>13. Binomial Theorem: Positive Integral Index</p>
<p>14. Binomial Theorem: Any Index</p>
<p>15. Multinomial Theorem</p>
<p>16. Logarithms</p>
<p>17. Exponential and Logarithmic Series</p>
<p>18. Interest and Annuities</p>
<p>19. Inequalities</p>
<p>20. Limiting Values anf Vanishing Fractions</p>
<p>21. Convergency and Divergency of Series</p>
<p>22. Undertermined Coefficients</p>
<p>23. Partial Fractions</p>
<p>24. Recurring Series</p>
<p>25. Continued Fractions</p>
<p>26. Indeterminate Equations of the First Degree</p>
<p>27. Recurring Continued Fractions</p>
<p>28. Indeterminate Equations of the Second Degree</p>
<p>29. Summation of the Series</p>
<p>30. Theory if Numbers</p>
<p>31. The General Theory of Continued Fractions</p>
<p>32. Probabilities</p>
<p>33. Determinants</p>
<p>34. Micellaneous Theorems and Examples</p>
<p>35. Theory of Equations</p>