Elements of Algebra with ExercisesMacmillan Company, 1902 - 478 páginas |
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Página v
... equivalent equations and equivalent systems of equations ( Chapter IV . , etc. ) . This method is of extreme importance , even to the beginner . The ordinary way of treating equations is illogical , leads to serious errors , and is ...
... equivalent equations and equivalent systems of equations ( Chapter IV . , etc. ) . This method is of extreme importance , even to the beginner . The ordinary way of treating equations is illogical , leads to serious errors , and is ...
Página viii
... § 2. CONDITIONAL EQUATIONS . 80 § 3. EQUIVALENT EQUATIONS 82 Fundamental Principles for Solving Integral Equations 83 § 4. LINEAR EQUATIONS IN ONE UNKNOWN NUMBER 86 PROBLEMS . CHAPTER V. PAGE CHAPTER VI . TYPE - viii CONTENTS .
... § 2. CONDITIONAL EQUATIONS . 80 § 3. EQUIVALENT EQUATIONS 82 Fundamental Principles for Solving Integral Equations 83 § 4. LINEAR EQUATIONS IN ONE UNKNOWN NUMBER 86 PROBLEMS . CHAPTER V. PAGE CHAPTER VI . TYPE - viii CONTENTS .
Página x
... . SIMULTANEOUS LINEAR EQUATIONS . § 1. SYSTEMS OF EQUATIONS • § 2. EQUIVALENT SYSTEMS PAGE 156 158 • 161 166 168 169 169 172 173 174 175 • 175 185 191 196 • 197 198 199 199 200 203 205 PAGE 207 207 • 210 211 213 • 214 216 X CONTENTS .
... . SIMULTANEOUS LINEAR EQUATIONS . § 1. SYSTEMS OF EQUATIONS • § 2. EQUIVALENT SYSTEMS PAGE 156 158 • 161 166 168 169 169 172 173 174 175 • 175 185 191 196 • 197 198 199 199 200 203 205 PAGE 207 207 • 210 211 213 • 214 216 X CONTENTS .
Página xii
... Equivalent Surds of 278 the Same Order 279 · Multiplication of Surds · 280 Division of Surds 283 Surd Factors . 284 Rationalization 286 Properties of Quadratic Surds 288 Evolution of Surd Expressions 290 Square Roots of Simple Binomial ...
... Equivalent Surds of 278 the Same Order 279 · Multiplication of Surds · 280 Division of Surds 283 Surd Factors . 284 Rationalization 286 Properties of Quadratic Surds 288 Evolution of Surd Expressions 290 Square Roots of Simple Binomial ...
Página 17
... equivalent to 80 dollars net gain . 2. 250 dollars gain and 250 dollars loss is equivalent to neither gain nor loss . 3. A rise of 15 ° in temperature followed by a fall of 22 ° is equivalent to a fall of 7 ° . 4. If a man ascends from ...
... equivalent to 80 dollars net gain . 2. 250 dollars gain and 250 dollars loss is equivalent to neither gain nor loss . 3. A rise of 15 ° in temperature followed by a fall of 22 ° is equivalent to a fall of 7 ° . 4. If a man ascends from ...
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Elements of Algebra with Exercises George Egbert Fisher,Isaac Joachim Schwatt Sin vista previa disponible - 2016 |
Términos y frases comunes
a₁ a²b a²b² a²x a²x² a³b ab² absolute value algebraic language ALGEBRAIC NUMBERS arithmetical arithmetical means assigned number ax² binomial coefficient Commutative Law complex number continued fraction convergent cube definition denominator digits divided divisor dollars equal number equivalent exactly divisible example illustrates EXERCISES exponent Find the values following expressions following principle given equation greater illustrates the following imaginary unit inequality integer irrational number less Let x stand logarithm miles minuend monomial multinomial multiplied negative numbers obtained parentheses positive integer positive number positive units powers quadratic equation quadratic surds r₁ radicand rational number remainder required numbers result second member Simplify solution Solve the equation square root summands symbolically unknown number whence wherein x²y xy² yards
Pasajes populares
Página 209 - Nos. 1 and 2, 3 and 4, 5 and 6, 7 and 8, 9 and 10, 11 and 12.
Página 356 - IF the first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second, as the third is to the fourth...
Página 73 - Divide the first term of the dividend by the first term of the divisor, the result will be the first term of the quotient.
Página 414 - C„.r. That is, the number of combinations of n dissimilar .things r at a time is equal to the number of combinations of the n things n — r at a time.
Página 359 - In any proportion the terms are in proportion by Composition and Division; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
Página 326 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel, in going 120 yards; but if the circumference of each wheel...
Página 166 - The product of two fractions is a fraction whose numerator is the product of the numerators of the given fractions, and whose denominator is the product of the given denominators.
Página 472 - We therefore have : (i.) The characteristic of the logarithm of a number greater than unity is positive, and is one less than the number of digits in its integral part.
Página 418 - Thus, 16 x2, ± -^/(a? — ж2), etc., are functions of x; corresponding to any value of x, the first function has one value, the second has two values. Again, the area of a circle is a function of its radius ; the distance a train runs is a function of the time and speed. 4. Much simplicity is introduced into mathematical investigations by employing special symbols for functions. The symbol f(x), read function of x, is very commonly used to denote a function of x.
Página 363 - One quantity is said to vary directly as a second and inversely as a third, when it varies as the second and the reciprocal of the third jointly.