# Advanced Algebra for Colleges and Schools

American Book Company, 1902 - Algebra - 608 pages
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### Contents

 PROGRESSIONS 344 IMAGINARY AND COMPLEX NUMBERS 363 INEQUALITIES 373 VARIABLES AND LIMITS 379 INCOMMENSURABLE NUMBERS 388 INDETERMINATE EQUATIONS 400 BINOMIAL THEOREM 408 LOGARITHMS 415
 SIMPLE CONTINUED FRACTIONS 458 THEORY OF NUMBERS 470 DETERMINANTS 479 CONVERGENCY OF SERIES 496 UNDETERMINED COEFFICIENTS 509 EXPONENTIAL AND LOGARITHMIC SERIES 524 SUMMATION OF SERIES 533 FUNCTIONS OF A SINGLE VARIABLE 545

### Popular passages

Page 212 - ... and if the number is divided by the sum of its digits, the quotient is 21 and the remainder 4.
Page 134 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Page 343 - ... that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose radii are r, /, and r".
Page 41 - A term may be transposed from one member of an equation to the other, provided its sign is changed.
Page 435 - The number of permutations of n different things taken r at a time is denoted by „Pr.
Page 424 - The logarithm of a quotient is found by subtracting the logarithm of the divisor from that of the dividend.
Page 40 - The process of changing a term from one member of an equation to the other is called Transposition.
Page 331 - PRINCIPLE 7. — If four numbers are in proportion, the. difference between the terms of the first ratio is to either term of the first ratio as the difference between the terms of the second ratio is to the corresponding term of the second ratio ; that is, the numbers are in proportion by Division.
Page 323 - A farmer has two cubical granaries. The side of one is 3 yards longer than the side of the other, and the difference in their solid contents is 117 cubic yards.
Page 426 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.