# Higher Algebra

Silver, Burdett & Company, 1894 - Algebra - 504 pages
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### Contents

 FIRST PRINCIPLES 1 ALGEBRAIC ADDITION 19 ALGEBRAIC SUBTRACTION 27 ALGEBRAIC MULTIPLICATION 35 INVOLUTION 52 ALGEBRAIC DIVISION 60 EVOLUTION 79 USE OF ALGEBRAIC SYMBOLS 99
 QUADRATIC EQUATIONS 312 EQUATIONS WHICH MAY BE SOLVED AS QUADRATICS 330 THEORY OF QUADRATIC EQUATIONS 339 INEQUALITIES SIMULTANEOUS QUADRATIC EQUATIONS 345 INDETERMINATE EQUATIONS 355 27 356 35 361 SERIES 373

 SIMPLE EQUATIONS X 104 PROBLEMS LEADING TO SIMPLE EQUATIONS 109 FACTORING 119 HIGHEST COMMON FACTOR 141 LOWEST COMMON MULTIPLE 155 ALGEBRAIC FRACTIONS 164 FRACTIONAL EQUATIONS 201 SIMULTANEOUS SIMPLE EQUATIONS 215 PROBLEMS LEADING TO SIMULTANEOUS EQUATIONS 238 EXPONENTS 248 RADICAL EXPRESSIONS 263 IMAGINARY EXPRESSIONS 286 QUADRATIC SURDS 290 SQUARE ROOT OF A QUADRATIC SURD 291 SIMPLE EQUATIONS CONTAINING SURDS 293 LOGARITHMS XX 296
 60 376 79 386 RATIO AND PROPORTION 388 THEORY OF LIMITS 401 99 405 104 407 CONVERGENCY AND DIVERGENCY OF Series 414 155 439 PERMUTATIONS AND COMBINATIONS 449 201 461 CONTINUED FRACTIONS 468 COMPOUND INTEREST 481 363 483 APPENDIX 490 Copyright

### Popular passages

Page 183 - To multiply a fraction by a fraction, multiply the numerators together for the numerator of the product, and the denominators together for the denominator of the product.
Page 214 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour?
Page 121 - To the product of the numerical coefficients, annex each literal factor with an exponent equal to the sum of the exponents of that letter in both factors.
Page 73 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Page 77 - The sum of any two equal odd powers of two numbers is divisible by the sum of the numbers.
Page 391 - A ratio of greater inequality is diminished, and a ratio of less inequality is increased, by adding the same quantity to both its terms.
Page 214 - B sets out from the same place and travels in the same direction, at the rate of 5 miles in 3 hours.
Page 151 - Divide the greater number by the less, the divisor by the remainder, and thus continue to divide the last divisor by the last remainder until there is no remainder ; the last divisor will be the greatest common divisor.
Page 395 - If the product of two numbers is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means.