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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Página vi
... Principles 43. Principle I 27 27 44. Principle II 27 45. Principle III . 27 46. Reduction . 27 47. Least Common Denominators of Several Fractions 28 48. Addition of Fractions 29 49. Subtraction of Fractions 29 50. Multiplication of ...
... Principles 43. Principle I 27 27 44. Principle II 27 45. Principle III . 27 46. Reduction . 27 47. Least Common Denominators of Several Fractions 28 48. Addition of Fractions 29 49. Subtraction of Fractions 29 50. Multiplication of ...
Página xi
... Principle • 183. Approximate Calculation of Roots by Horner's Method 184. Roots nearly Equal . CHAPTER XVIII DETERMINANTS PAGE 172 172 174 174 175 177 178 178 179 180 183 186 189 190 190 191 193 194 195 • 200 185. Solution of Two Linear ...
... Principle • 183. Approximate Calculation of Roots by Horner's Method 184. Roots nearly Equal . CHAPTER XVIII DETERMINANTS PAGE 172 172 174 174 175 177 178 178 179 180 183 186 189 190 190 191 193 194 195 • 200 185. Solution of Two Linear ...
Página xii
... . General Theorems . 226. Conditional Linear Inequalities 227. Conditional Quadratic Inequalities 256 256 258 260 263 265 . 267 269 271 271 SECTION 228. General Principles 229. Illustration 230. General Statement 231. xii CONTENTS.
... . General Theorems . 226. Conditional Linear Inequalities 227. Conditional Quadratic Inequalities 256 256 258 260 263 265 . 267 269 271 271 SECTION 228. General Principles 229. Illustration 230. General Statement 231. xii CONTENTS.
Página xiii
Herbert Edwin Hawkes. SECTION 228. General Principles 229. Illustration 230. General Statement 231. General Statement CHAPTER XXIII VARIATION CHAPTER XXIV PROBABILITY PAGE 273 276 276 CHAPTER XXV SCALES OF NOTATION 279 280 281 282 284 ...
Herbert Edwin Hawkes. SECTION 228. General Principles 229. Illustration 230. General Statement 231. General Statement CHAPTER XXIII VARIATION CHAPTER XXIV PROBABILITY PAGE 273 276 276 CHAPTER XXV SCALES OF NOTATION 279 280 281 282 284 ...
Página 3
... PRINCIPLE . A product of numbers is zero when and only when one or more of the factors are zero . This most important fact , which we shall use continually , assures us that when we have a product of several numbers as a.b. .c.d = e ...
... PRINCIPLE . A product of numbers is zero when and only when one or more of the factors are zero . This most important fact , which we shall use continually , assures us that when we have a product of several numbers as a.b. .c.d = e ...
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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.