Mathematics For Technical Students Junior Course Third EditionPDF电子书下载

Ⅰ．FACTORS AND MULTIPLES 1

Ⅱ．VULGAR FRACTIONS 5

Ⅲ．DECIMAL FRACTIONS－THE METRIC SYSTEM－CONTRACTED METHODS－AVERAGES 15

Decimal Fractions 15

The Metric System 26

Contracted Methods 29

Averages 32

Ⅳ．PROPORTION－ 33

Direct Proportion 33

Inverse Proportion 36

Compound Proportion 39

Proportional Division 41

Ⅴ．USE OF SQUARED PAPER－ 42

Plotting and Interpolation 42

Graphs of Proportional Quantities 48

Ⅵ．PERCENTAGES－INTEREST 53

Ⅶ．POWERS AND ROOTS 59

Ⅷ．ALGEBRA－FUNDAMENTAL RULES－ 64

Use of Symbols 64

Algebraical Addition 66

Algebraical Subtraction 68

Algebraical Multiplication 69

Algebraical Division 72

Brackets 74

Simplification of Fractional Expressions 75

Ⅸ．SIMPLE EQUATIONS－SYMBOLICAL EXPRESSION－PROBLEMS－ 77

Simple Equations 77

Symbolical Expression 80

Problems leading to Simple Equations 82

Ⅹ．LOGARITHMS－THE SLIDE RULE－ 85

Logarithms 85

Calculations made by Means of Logarithms 92

The Slide Rule 95

Ⅺ．SIMULTANEOUS EQUATIONS 100

Ⅻ．GRAPHS OF FUNCTIONS AND EQUATIONS 106

ⅩⅢ．FACTORS－QUADRATIC EQUATIONS 128

ⅩⅣ．GEOMETRY OF RECTILINEAR FIGURES 138

Measurement of Length 138

Angles 139

Triangles 142

Parallel Lines 148

Quadrilaterals 151

Polygons 151

ⅩⅤ．GEOMETRY OF CIRCLES－ 155

Chords 155

Angles in a Circle 157

Tangents 161

ⅩⅥ．LOCI 167

ⅩⅦ．MENSURATION：PLANE FIGURES－ 172

Rectilinear Figures 172

The Circle 184

The Ellipse 187

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

Solids 189

Similar Figures 204

Irregular Figures 210

ⅩⅨ．TRIGONOMETRY－ 215

Trigonometrical Ratios 215

Easy Trigonometrical Problems 225

Solution of Triangles which are not Right-angled 230

ⅩⅩ．SOME APPLICATIONS 236

ADDITIONAL EXAMPLES 252

LOGARITHMS 270

ANTILOGARITHMS 272

TRIGONOMETRICAL RATIOS 274

ANSWERS 283

ANSWERS TO ADDITIONAL EXAMPLES 298

INDEX 302