College AlgebraScott, Foresman, 1901 - 777 páginas |
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Página ix
James Harrington Boyd. PREFACE TABLE OF CONTENTS Book I THE FUNDAMENTAL OPERATIONS OF COMMON ALGEBRA— THEIR LAWS AND APPLICATIONS INTRODUCTION - The Nature of Numbers and the Fundamental Postulate of Arithmetic The Equality of Two Groups ...
James Harrington Boyd. PREFACE TABLE OF CONTENTS Book I THE FUNDAMENTAL OPERATIONS OF COMMON ALGEBRA— THEIR LAWS AND APPLICATIONS INTRODUCTION - The Nature of Numbers and the Fundamental Postulate of Arithmetic The Equality of Two Groups ...
Página xi
... COMMON DIVISOR AND LEAST COMMON MULTIPLE 93 94 96 98 99 G. C. D. of Quantities Readily Factored 101 G. C. D. of Two or more Algebraic Expressions 102 Least Common Multiple of Quantities readily Factored and those not readily Factored ...
... COMMON DIVISOR AND LEAST COMMON MULTIPLE 93 94 96 98 99 G. C. D. of Quantities Readily Factored 101 G. C. D. of Two or more Algebraic Expressions 102 Least Common Multiple of Quantities readily Factored and those not readily Factored ...
Página xii
... 232 Discussion of Cases ab ' - ba ' 0 , etc. 233 Homogeneous Equations . 236 Two Equations of the First Degree which have a Common Root 237 CHAPTER VIII GENERAL SOLUTION OF A SYSTEM OF THREE EQUATIONS xii COLLEGE ALGEBRA.
... 232 Discussion of Cases ab ' - ba ' 0 , etc. 233 Homogeneous Equations . 236 Two Equations of the First Degree which have a Common Root 237 CHAPTER VIII GENERAL SOLUTION OF A SYSTEM OF THREE EQUATIONS xii COLLEGE ALGEBRA.
Página xxi
... Rational Integral Function of x 772 Sturm's Function and Theorem 775 Calculation of Incommensurable Roots by Horner's Method 777 INDEX • 783 INTRODUCTION 1. In the study of Common Algebra the notion TABLE OF CONTENTS xxi.
... Rational Integral Function of x 772 Sturm's Function and Theorem 775 Calculation of Incommensurable Roots by Horner's Method 777 INDEX • 783 INTRODUCTION 1. In the study of Common Algebra the notion TABLE OF CONTENTS xxi.
Página 81
James Harrington Boyd. INTRODUCTION 1. In the study of Common Algebra the notion number is funda- mental , and it is therefore necessary first of all to define it . What are the properties or characteristics of number ? Given a group of ...
James Harrington Boyd. INTRODUCTION 1. In the study of Common Algebra the notion number is funda- mental , and it is therefore necessary first of all to define it . What are the properties or characteristics of number ? Given a group of ...
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Términos y frases comunes
a₁ algebraic Arithmetic ax² b₁ binomial binomial theorem C₁ coefficients common divisor convergent corresponding cube root decimal definition determinant difference divided division dollars equal equivalent EXAMPLE EXERCISE exponent expression factors Find the number finite formula fraction given equation greater greatest common divisor Hence imaginary inequality logarithm mantissa mathematical induction monomial Multiply negative number nth root number of terms obtained P₁ polynomial positive integers positive number preceding problem proved quadratic equation quotient rational remainder result rule satisfied second member Simplify solution Solve the equations square root Substitute subtraction Suppose surd symbols system of equations theorem third tion triangle trinomial unknown numbers unknown quantities values zero
Pasajes populares
Página 212 - Nos. 1 and 2, 3 and 4, 5 and 6, 7 and 8, 9 and 10, 11 and 12.
Página 664 - Q(x) to obtain a quotient (polynomial of the form -Q ) plus a rational function (remainder divided by the divisor) in which the degree of the numerator is less than the degree of the denominator.
Página 586 - What will $ 100 amount to in 7 years with interest at 8% per annum, compounded semi-annually ? 3. In how many years will a sum of money double itself at 6%, compounded annually ? 4.
Página 77 - Raise the absolute value of the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power.
Página 69 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Página 60 - 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 568 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 586 - June, 1889.) 1. In how many years will a sum of money double itself at 4 per cent., interest being compounded semi-annually ? 2.
Página 198 - A Solution of a system of simultaneous equations is a set of values of the unknown numbers which satisfies all of the equations.
Página 78 - The product of the sum and difference of two numbers is equal to the difference of their squares.