Imágenes de páginas
PDF
EPUB

|

CONTENTS

[blocks in formation]

47

50

CHAPTER VI.

GREATEST COMMON DIVISOR.-LEAST COMMON MULTIPLE.

How the Greatest Common Divisor is found.........

Rule applied to Polynomials

How the Least Common Multiple is found.

52

55

58

CHAPTER VII.

FRACTIONS.

Definitions and General Principles.......

Reduction of Fractions...........

Addition and Subtraction of Fractions......

Multiplication and Division of Fractions....

......

62

64

69

72
CHAPTER IX.

EQUATIONS WITII MORE THAN ONE UNKNOWN QUANTITY.

Different Methods of Elimination

Equations containing three or more Unknown Quantities.....

Problems involving several Unknown Quantities.......

99

105

109

CHAPTER X.

DISCUSSION OF PROBLEMS.

Positive Values of x-Negative Values........

Zero and Infinity ........

Indeterminate Solutions...

Inequalities.......

........ 114

118

121

122

CHAPTER XI.

INVOLUTION.

Powers of Monomials........

Powers of Polynomials...

127

130

CHAPTER XII.

EVOLUTION.

Roots of Monomials........

Square Root of Polynomials..

Square Root of Numbers...

Cube Root of Polynomials

Cube Root of Numbers......

133

136

139

143

146

CHAPTER XIII.

RADICAL QUANTITIE 8.

Transformation of Radical Quantities.......

Addition and Subtraction of Radical Quantities

Multiplication and Division of Radical Quantities.....

Powers and Roots of Radical Quantities

Operations on Imaginary Quantities

To find Multipliers which shall render Surds rational...

Square Root of a Binomial Surd..........

Equations containing Radical Quantities.....

150

157

159

164

166

168

171

174
206

CHAPTER 'XIV.

209

211

CHAPTER XV.

RATIO AND PROPORTION.

Definitions .

Properties of Proportions...

Variation .....

Problems in Proportion.......

214

216

222

224

CHAPTER XVI.

PROGRESSIONS.

Arithmetical Progression-General Principles.......

Examples..........

Geometrical Progression-General Principles......

Examples..........

227

230

233

237

CHAPTER XVII.

CONTINUED FRACTIONS.PERMUTATIONS AND COMBINATIONS.

Properties of Continued Fractions .......

Permutations and Combinations.........

240

244

CHAPTER XVIII.

BINOMIAL THEOREM,

Powers of a Binomial......

Sir Isaac Newton's Binomial Theorem.

Powers and Roots of Polynomials........

To extract any Root of a Number...

248

251

255

257

CHAPTER XIX.

SERIES.

Definitions—Method of Differences............

Interpolation.

Development of Algebraic Expressions into Series

259

263

265

« AnteriorContinuar »