Algebra for High Schools and Colleges: Containing a Systematic Exposition and Application of the Elementary and Higher Principles of the Science

Pratt, Oakley & Company, 1860 - Algebra - 322 pages

PRELIMINARY DEFINITIONS AND EXERCISES PAGE 1	1

of the Student and discussed with him on the part of the Teacher with reference	3

Symbols of Operations the Sign + plus 7 The Sign minus 8 The	9

27Sum of Two Equal Similar Terms with contrary signs 28 How	10

Student should often be examined on the exercises under the Rules with his book	16

To Divide a Monomial into a Polynomial 51	24

A Polynomial arranged by powers 22 A Homogeneous Polynomial	25

COMPOSITE QUANTITIES COMMON MEASURE COMMON MULTIPLE	27

COMBINATIONS 195 Number of Combinations how found 196 INVO	135

ber of Quantities 132 Duplicate and Triplicate Ratios 133 Equi	137

To Extract the Cube Root of a Number 225	142

For the Solution of a Pure Equation 256	170

Progression equal to what 176 Common Difference of the Terms 177	177

To Reduce an Equation of the form ax²+bx to a Simple Equa	178

one or both of the Second or a Higher Degree Containing two Unknown	186

General Law of the Coefficients of Equations 267 Determination	204

Factor which is common to all the Terms of the Dividend 68 Of	38

How the indicated Product of Two or more Factors may be divided 55	55

SIMPLE EQUATIONS 67 90	67

76Two Methods of representing the Quotient when the Divisor is not	76

Numerator to the Denominator and vice versa 78 Reciprocal of	82

To Reduce Two or More Fractions to a Common Denominator 88	88

CHAPTER VI	91

By what means the Sum of Two or More Fractions is found 94	94

Fraction 99 Compound Fractions 100 Equivalent of Multiplying	101

CHAPTER VII	111

CHAPTER VIII	121

the value of a Ratio may be represented 129 Direct and Inverse Ratio	130

tions 275 For what purpose Inequations are employed 276 Inequalities	211

Number 219 Square of any two Parts into which a number may be di	221

or Surd QuantityRadical Quantities 230 Radical SignHow this	232

lower powers of x be wanting in the given Equation 281 Change of Signs	236

How a Fractional may be reduced to an Integral Surd 238 Surds	243

CHAPTER XIII	245

Of the Powers and Roots of Irrational Quantities 244 Of the Square	249

CHAPTER XIV	251

Logarithm of a Power or Root 310 Logarithm of 0 311 Progression	274

Series A diverging Infinite Series 354 Expansion of SeriesThe Algebraic	305

In the solution of Equations and Problems he should explain each part of	4

Title	Algebra for High Schools and Colleges: Containing a Systematic Exposition and Application of the Elementary and Higher Principles of the Science
Author	James B. Dodd
Publisher	Pratt, Oakley & Company, 1860
Original from	the University of Virginia
Digitized	6 Oct 2010
Length	322 pages

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