082-Engineering-Mathematics-Anthony-Croft-Robert-Davison-Martin-Hargreaves-James-Flint-Edisi-5-2017

viii Contents
Chapter4 Coordinatesystems 154
4.1 Introduction 154
4.2 Cartesiancoordinate system – two dimensions 154
4.3 Cartesiancoordinate system – three dimensions 157
4.4 Polar coordinates 159
4.5 Some simple polar curves 163
4.6 Cylindricalpolar coordinates 166
4.7 Spherical polar coordinates 170
Review exercises 4 173
Chapter5 Discretemathematics 175
5.1 Introduction 175
5.2 Set theory 175
5.3 Logic 183
5.4 Boolean algebra 185
Review exercises 5 197
Chapter6 Sequencesandseries 200
6.1 Introduction 200
6.2 Sequences 201
6.3 Series 209
6.4 The binomial theorem 214
6.5 Power series 218
6.6 Sequences arising from the iterativesolution
of non-linear equations 219
Review exercises 6 222
Chapter7 Vectors 224
7.1 Introduction 224
7.2 Vectors and scalars: basic concepts 224
7.3 Cartesiancomponents 232
7.4 Scalar fields and vector fields 240
7.5 The scalar product 241
7.6 The vector product 246
7.7 Vectors ofndimensions 253
Review exercises 7 255
Chapter8 Matrixalgebra 257
8.1 Introduction 257
8.2 Basic definitions 258