Advanced AlgebraGinn, 1905 - 285 páginas This book is designed for use in secondary schools and in short college courses. It aims to present in concise but clear form the portions of algebra that are required for entrance to the most exacting colleges and technical schools. The chapters in 'Algebra to Quadratics' are intended for a review of the subject. The rest of the text concentrates on subjects that are most vital, which is why topics that demand a knowledge of calculus for complete comprehension have been omitted. |
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Términos y frases comunes
a₁ a²x² ab² algebraic arithmetical means assume axis b₁ binomial called coefficients column complex numbers constant term continued fraction coördinates corresponding curve decimal defined determinant digits Divide division divisor equa equal equation ax² exponents expression Extract the square factor following equations following RULE geometrical means graph Hence identity imaginary integers irrational numbers least common multiple left-hand member letters linear equation logarithm monomial Multiply negative number nth root nth term obtain operations original equation pair of values pairs of equations perfect square performed as follows Plot polynomial positive integers quadratic equation quotient radical ratic rational number real number remainder represent result rule of signs satisfy the equation sequence Solution Transpose square root substituted subtract symbols THEOREM tion vanish variable zero
Pasajes populares
Página 239 - The characteristic of the logarithm of a number greater than 1 is a positive integer or zero, and is one less than the number of digits to the left of the decimal point.
Página 87 - Pythagorean theorem, which states that the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides.
Página 13 - Then divide the first term of the remainder by the first term of the divisor, for the second term of the quotient ; multiply the divisor by this second term, and subtract the product from th» result of the first operation.
Página 147 - The number of permutations of n things taken r at a time is ,P,= n!
Página 12 - The square of any polynomial equals the sum of the squares of the terms plus twice the product of each term by each term which follows it.
Página 53 - We next multiply the complete divisor by the last term of the root and subtract the product from the last remainder.
Página 27 - The numerator and denominator of a fraction may be multiplied or divided by the same number without changing the value of the fraction.
Página 27 - Hence, a fraction is said to be reduced to its lowest terms, when its numerator and denominator are expressed in the smallest numbers possible.
Página 53 - Arrange the expression according to the powers of some letter. Extract the square root of the first term, write the result as the first term of the root, and subtract its square from the given expression, arranging the remainder in the same order of powers as the given expression.
Página 275 - If 12 men can do a piece of work in 10 days, how long will it take 1 man to do it ? How long will it take 8 men ? How long 6 men ? 9.