## An Elementary Treatise on Algebra: Theoretical and Practical : with Attempts to Simplify Some of the More Difficult Parts of the Science ... |

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### Contents

CHAPTER I | 1 |

Subtraction | 6 |

Division | 9 |

Algebraic fractions | 19 |

Involution | 28 |

CHAPTER II | 38 |

Questions producing simple equations involving but | 45 |

Questions producing simple equations involving two unknown | 55 |

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 |

Transformation of formulæ to those of more rapid conver | 225 |

On the direct computation of logarithms independently | 232 |

Application of logarithms | 238 |

On arithmetical proportion and progression | 68 |

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 |

Adfected quadratics | 105 |

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 |

CHAPTER V | 173 |

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 | 286 |

To find the least whole number which being divided | 292 |

CHAPTER X | 296 |

To find rational values for expressions affected with the sign | 313 |

On double and triple equalities | 316 |

Problems for exercise in the foregoing rules | 319 |

### Other editions - View all

An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ... John Radford Young No preview available - 2016 |

An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ... John Radford Young,Samuel Ward No preview available - 2016 |