《Mathematics For Technical Students Junior Course Third Edition》

Ⅰ．FACTORS AND MULTIPLES1

Ⅱ．VULGAR FRACTIONS5

Ⅲ．DECIMAL FRACTIONS－THE METRIC SYSTEM－CONTRACTED METHODS－AVERAGES15

Decimal Fractions15

The Metric System26

Contracted Methods29

Averages32

Ⅳ．PROPORTION－33

Direct Proportion33

Inverse Proportion36

Compound Proportion39

Proportional Division41

Ⅴ．USE OF SQUARED PAPER－42

Plotting and Interpolation42

Graphs of Proportional Quantities48

Ⅵ．PERCENTAGES－INTEREST53

Ⅶ．POWERS AND ROOTS59

Ⅷ．ALGEBRA－FUNDAMENTAL RULES－64

Use of Symbols64

Algebraical Addition66

Algebraical Subtraction68

Algebraical Multiplication69

Algebraical Division72

Brackets74

Simplification of Fractional Expressions75

Ⅸ．SIMPLE EQUATIONS－SYMBOLICAL EXPRESSION－PROBLEMS－77

Simple Equations77

Symbolical Expression80

Problems leading to Simple Equations82

Ⅹ．LOGARITHMS－THE SLIDE RULE－85

Logarithms85

Calculations made by Means of Logarithms92

The Slide Rule95

Ⅺ．SIMULTANEOUS EQUATIONS100

Ⅻ．GRAPHS OF FUNCTIONS AND EQUATIONS106

ⅩⅢ．FACTORS－QUADRATIC EQUATIONS128

ⅩⅣ．GEOMETRY OF RECTILINEAR FIGURES138

Measurement of Length138

Angles139

Triangles142

Parallel Lines148

Quadrilaterals151

Polygons151

ⅩⅤ．GEOMETRY OF CIRCLES－155

Chords155

Angles in a Circle157

Tangents161

ⅩⅥ．LOCI167

ⅩⅦ．MENSURATION：PLANE FIGURES－172

Rectilinear Figures172

The Circle184

The Ellipse187

ⅩⅧ．MENSURATION：SOLIDS－SIMILAR FIGURES－IRREGULAR FIGURES－189

Solids189

Similar Figures204

Irregular Figures210

ⅩⅨ．TRIGONOMETRY－215

Trigonometrical Ratios215

Easy Trigonometrical Problems225

Solution of Triangles which are not Right-angled230

ⅩⅩ．SOME APPLICATIONS236

ADDITIONAL EXAMPLES252

LOGARITHMS270

ANTILOGARITHMS272

TRIGONOMETRICAL RATIOS274

ANSWERS283

ANSWERS TO ADDITIONAL EXAMPLES298

INDEX302