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. |
Dentro del libro
Resultados 1-5 de 36
Página vi
... Denominators of Several Fractions 28 48. Addition of Fractions 29 49. Subtraction of Fractions 29 50. Multiplication of Fractions 29 51. Division of Fractions 29 CHAPTER IV EQUATIONS 52. Introduction 53. Identities and Equations of ...
... Denominators of Several Fractions 28 48. Addition of Fractions 29 49. Subtraction of Fractions 29 50. Multiplication of Fractions 29 51. Division of Fractions 29 CHAPTER IV EQUATIONS 52. Introduction 53. Identities and Equations of ...
Página 4
... denominator of a fraction may be multi- plied by any number without changing the value of the fraction . Changing the sign of either numerator or denominator of a fraction is equivalent to changing the sign of the fraction . The laws of ...
... denominator of a fraction may be multi- plied by any number without changing the value of the fraction . Changing the sign of either numerator or denominator of a fraction is equivalent to changing the sign of the fraction . The laws of ...
Página 6
... denominator . Thus 4 x5 x32x2x + 1 is integral . - The quotient of two integral expressions is called rational . Thus x2 - 2x + 3 x - 7 is rational . 12. Operations on polynomials . We assume that the same formal laws for the four ...
... denominator . Thus 4 x5 x32x2x + 1 is integral . - The quotient of two integral expressions is called rational . Thus x2 - 2x + 3 x - 7 is rational . 12. Operations on polynomials . We assume that the same formal laws for the four ...
Página 13
... denominator the process of division as defined by equation ( I ) in the preceding paragraph . EXAMPLE . Divide 12 a4b11c2d by - 6 a2bc2d8 . -- 12 a4b11c2d - 6 a9bc2d8 2610 a5d7 25. Division of a polynomial by a monomial . This process ...
... denominator the process of division as defined by equation ( I ) in the preceding paragraph . EXAMPLE . Divide 12 a4b11c2d by - 6 a2bc2d8 . -- 12 a4b11c2d - 6 a9bc2d8 2610 a5d7 25. Division of a polynomial by a monomial . This process ...
Página 27
... denominator of a frac- tion may be multiplied ( or divided ) by the same expression with- out changing the value of the fraction . This follows from ( 5 ) , § 6 . 44. PRINCIPLE II . If the signs of both numerator and denomi- nator of a ...
... denominator of a frac- tion may be multiplied ( or divided ) by the same expression with- out changing the value of the fraction . This follows from ( 5 ) , § 6 . 44. PRINCIPLE II . If the signs of both numerator and denomi- nator of a ...
Contenido
1 | |
2 | |
5 | |
6 | |
7 | |
8 | |
9 | |
10 | |
11 | |
12 | |
13 | |
15 | |
16 | |
22 | |
28 | |
41 | |
47 | |
52 | |
64 | |
70 | |
72 | |
75 | |
77 | |
78 | |
79 | |
82 | |
83 | |
84 | |
87 | |
88 | |
90 | |
91 | |
93 | |
94 | |
96 | |
97 | |
99 | |
100 | |
101 | |
103 | |
104 | |
106 | |
107 | |
111 | |
113 | |
114 | |
120 | |
121 | |
122 | |
123 | |
125 | |
128 | |
129 | |
133 | |
134 | |
137 | |
138 | |
140 | |
143 | |
144 | |
146 | |
149 | |
150 | |
152 | |
153 | |
154 | |
155 | |
169 | |
170 | |
171 | |
172 | |
174 | |
175 | |
177 | |
178 | |
179 | |
180 | |
183 | |
186 | |
189 | |
190 | |
191 | |
193 | |
194 | |
195 | |
200 | |
203 | |
204 | |
208 | |
210 | |
213 | |
214 | |
215 | |
216 | |
217 | |
218 | |
219 | |
221 | |
223 | |
225 | |
229 | |
232 | |
233 | |
235 | |
236 | |
237 | |
239 | |
241 | |
242 | |
243 | |
245 | |
247 | |
251 | |
253 | |
256 | |
258 | |
260 | |
263 | |
265 | |
267 | |
269 | |
271 | |
273 | |
279 | |
Otras ediciones - Ver todas
Términos y frases comunes
7th term a₁ a²b ab² algebraic arithmetical means assume axis b₁ binomial called coefficients column complex numbers constant term continued fraction coördinates COROLLARY corresponding curve determinant digits Divide division divisor equa equal equation ax² EXERCISES Solve exponents expression Extract the square factor Find the 7th following equations following RULE geometrical means graph Hence identity integers irrational numbers least common multiple left-hand member letters linear equation logarithm monomial Multiply negative number obtain operations original equation pair of values pairs of equations Plot polynomial positive integer quadratic equation quotient radical ratic rational number real number remainder represent result rule of signs satisfy the equation Solution square root substituted Subtract symbols synthetic division THEOREM tion Transpose vanish variable x₁ zero
Pasajes populares
Página 237 - 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 53 - Find the square root of the first term, write it as the first term of the root, and subtract its square from the given polynomial. Divide the first term of the remainder by...
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 54 - Separate the given number into periods of two figures each, beginning from the units' place. 2d. find the greatest number whose square is contained in the left-hand period ; this is the first figure of the required root. >Subtract its square from the first period, and to the remainder bring down the second period for a dividend.
Página 13 - Multiply the divisor by the first term of the quotient and subtract the product from the dividend.
Página 157 - The number of permutations of n things taken r at a time is 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 - Divide the first term of the remainder by twice the first term of the root, and add the quotient to the part of the root already found, and also to the trial-divisor.
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.