A University AlgebraReprint of the original, first published in 1873. |
Contents
INTRODUCTION | 1 |
SECTION II | 10 |
SECTION IV | 16 |
SECTION V | 22 |
Symbols of Quantity Arabic 26 Literal 27 advantages of latter 28 4 5 | 28 |
Definitions Exponent 34 A Positive Integer 35 a Positive Frac | 37 |
SECTION III | 39 |
SECTION II | 60 |
DEFINITIONS Logarithms Base 172 Cor Logarithm of 1 173 Sys | 176 |
SECTION V | 181 |
Logarithms of most numbers not integral 182 | 182 |
SECTION VII | 189 |
To factor the difference of twc squares 117 | 191 |
To extract root of perfect power 191 Sch Signs of root 192 | 192 |
TABLES OF LOGARITHMS What 195 177 | 195 |
CHAPTER II | 196 |
COMBINATIONS OF RADICALS | 72 |
SECTION II | 93 |
DEFINITIONS Division 89 Problem how stated 90 Cors 15 | 96 |
SECTION III | 100 |
Division of monomials 102 | 102 |
SECTION II | 106 |
DEFINITIONS Factor 108 Common Divisor 109 Common Multi | 112 |
SECTION IV | 123 |
22 23 | 134 |
SECTION IV | 140 |
74 | 142 |
REDUCTION Definition 147 Kinds of 148 | 148 |
PART IIIADVANCED COURSE IN ALGEBRA | 151 |
SECTION II | 159 |
an d | 163 |
SECTION IV | 168 |
24 25 | 175 |
PROB To construct real roots of equations with one unknown quan | 202 |
SECTION V | 203 |
PROP Change of sign in fx 244 How illustrated by loci 245 | 213 |
SECTION II | 216 |
DEFINITION 218 not unreal 219 a curious property of 220 | 220 |
Object 267 | 228 |
PROP Roots of an equation factors of absolute term 230 If a is | 231 |
To extract the mth root of a number 197 Examples | 232 |
SECTION III | 248 |
DEFINITION 123 | 253 |
204 205 | 254 |
The H C D the product of all the common factors 124 | 263 |
SECTION II | 292 |
DEFINITION 297 260 | 297 |
| 301 | |
45 46 | 313 |
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Common terms and phrases
arithmetical arithmetical means arithmetical progression binomial change sign changing the signs clearing of fractions constant cube root cubic equation decimal DEM.-Let denominator differential coefficient dividend dividing division Dx³ equa equal factors equal roots equation whose roots EXAMPLES exponent expression Extract the square figure Find the H. C. D. Find the number formula function geometrical progression given equation gives greater Hence Horner's method imaginary indeterminate integral values less letters logarithm mantissa monomial multiplied nth term number of terms operation partial fractions polynomial Prob Prob.-To Prop proportion Quadratic Equation quotient ratio real roots reduced represented scale of relation simple equation solution solve square root Sturm's method Sturm's Theorem substituted Subtracting SUG's terms containing tion Transform unknown quantity variable whence write