An Elementary Treatise on Algebra: Theoretical and Practical : with Attempts to Simplify Some of the More Difficult Parts of the Science ... |
Contents
CHAPTER I | 1 |
Subtraction | 6 |
Division | 13 |
Algebraic fractions | 19 |
Involution | 28 |
CHAPTER II | 38 |
To solve an equation containing but one unkown quantity | 41 |
Questions producing simple equations involving but | 45 |
CHAPTER V | 173 |
On recurring equations | 184 |
On binomial equations | 187 |
On the extraction of the cube root | 205 |
On solution of equations of the higher orders | 210 |
CHAPTER VII | 217 |
Application of formulæ | 221 |
On the direct computation of logarithms independently | 232 |
unknown quantity | 51 |
Questions producing simple equations involving two unknown | 55 |
On ratio | 67 |
On harmonical proportion | 76 |
Additional problems involving equations of one two | 81 |
Reduction of surds | 89 |
To find multipliers which will render binomial surds rational | 94 |
On quadratic equations | 101 |
Another method of solving quadratics | 112 |
Questions producing quadratics involving but one unknown | 120 |
On quadratics involving two unknown quantities | 125 |
Questions producing quadratics with two unknown quanti | 147 |
CHAPTER IV | 156 |
Another investigation | 162 |
On binomial columns | 169 |
Application of logarithms | 238 |
Compound interest by logarithms | 241 |
CHAPTER VIII | 246 |
On the summation of infinite series | 251 |
On recurring series | 262 |
On the method of indeterminate coefficients | 266 |
On the multinomial theorem | 269 |
CHAPTER IX | 275 |
To determine a priori the number of solutions that | 282 |
To solve an indeterminate equation containing three | 285 |
To find the least whole number which being divided | 292 |
CHAPTER X | 296 |
On double and triple equalities | 316 |
Problems for exercise in the foregoing rules | 319 |