# An Elementary Treatise on Algebra: Theoretical and Practical : with Attempts to Simplify Some of the More Difficult Parts of the Science ... Carey & Lea, 1832 - Algebra - 352 pages
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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 formul� 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