First Course in Algebra: With Eight Thousand Examples Including Three Thousand Mental Exercises

Little, Brown, 1907 - Algebra - 664 pages

CHAPTER I	1

Definitions of certain words which constitute part of the language of algebra 457799	9

Invention of Negative Numbers	18

Steps on a Line	24

Subtraction	37

Definitions	45

Associative Law for Multiplication	52

Zero cannot be used as a divisor	58

Problems in Physics	323

Equivalent Systems of Equations	333

Elimination by Comparison	339

General Solution of a System of Two Consistent Independent Linear Equa	346

Systems of Fractional Equations Solved Like Equations of the First Degree	355

PAGE	366

Square Roots of Polynomials	375

Square Roots of Arithmetic Numbers	381

Distributive Law for Division	65

Addition of Monomials	73

Reduction of a Polynomial to Simplest Form	80

CHAPTER VII	88

Multiplication of a Polynomial by a Monomial	94

Removal of Parentheses	101

CHAPTER VIII	112

Division of One Polynomial by Another	118

The Division Transformation	124

Synthetic Division	130

CHAPTER IX	137

Typical Graphs	143

CHAPTER X	149

Equivalent Equations	156

CHAPTER XI	168

Algebraic Expression	175

CHAPTER XII	185

The Difference of Two Squares	196

Trinomials of the type ax� + bx + c	206

Binomial Sums and Differences	212

Application of the Principles of Factoring to the Solution of Equations	223

HIGHEST COMMON FACTOR	228

Highest Common Factor of Three or More Expressions	243

Mental Review Exercise	249

Reduction to Lowest Terms	257

Addition and Subtraction of Fractions	265

Multiplication of an Integer by a Fractional Multiplier	272

Division of One Fraction by Another	278

Continued Fractions	286

Indeterminate Forms	290

Mental Review Exercise	296

Principle of Equivalence	302

Problems Solved by Fractional Equations	316

Cube Roots of Arithmetic Numbers	387

A Negative Integer as an Exponent	393

Products of Powers and Quotients of Powers	402

CHAPTER XX	411

Addition and Subtraction of Surds	423

Multiplication of Polynomials Involving Surds	430

Factors Involving Surds	439

CHAPTER XXI	446

Division of Imaginary Numbers	453

Addition and Subtraction of Complex Numbers	459

The Number System of Algebra Complete	467

Complete Quadratic Equations	477

Rational Fractional Equations containing One Unknown	491

Solution of Formulas for Specified Letters	502

Problems in Physics	509

Relations Between the Roots and Coefficients	517

Mental Review Exercise	523

Equations of the form x a	535

Equations which are Quadratic with Reference to some Expression Contain	541

Problems in Physics	547

Systems of Two Homogeneous Equations of the Second Degree with	551

Reduction of Systems of Equations by Division	570

Problems	590

PROPORTION	598

Problems in Physics	605

Two or More Independent Variables	611

CHAPTER XXVII	619

Problems in Physics	627

Sum of the Terms of a Geometric Progression	634

Review Exercise	641

Proof of the Binomial Theorem for Positive Integral Exponents by Mathe	647

Binomial Coefficients	656

Title	First Course in Algebra: With Eight Thousand Examples Including Three Thousand Mental Exercises
Author	Albert Harry Wheeler
Publisher	Little, Brown, 1907
Original from	the University of California
Digitized	14 Oct 2010
Length	664 pages

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