Basic engineering mathematics / John Bird.

Includes bibliographical references and index.

1 Basics -- 1.1 Introduction; 1.2 Basic terms; 1.3 Manipulating equations; 1.4 SI units; 1.5 Measurements; 1.6 Random errors; 1.7 Significant figures; 1.8 Graphs; Problems; 2 Statics -- 2.1 Introduction; 2.2 Forces in equilibrium; 2.3 Resultant forces; 2.4 Resolving forces; 2.5 Moment of a force; 2.6 Centre of gravity; 2.7 Static equilibrium; 2.8 Measurement of force; Activities; Problems -- 3 Stress and strain; 3.1 Introduction; 3.2 Stress and strain; 3.3 Stress-strain graphs; 3.4 Poisson's ratio; Activities; Problems -- 4 Linear motion -- 4.1 Introduction 4.2 Straight line motion -- 4.3 Vectors -- 4.4 Motion under gravity -- 4.5 Graphs of motion; Activities; Problems -- 5 Angular motion -- 5.1 Introduction -- 5.2 Equations of motion -- 5.3 Relationship between linear and angular motion -- 5.4 Torque -- Activities -- Problems -- 6 Dynamics -- 6.1 introduction -- 6.2 Newton's laws -- 6.3 Free-body diagrams; Problems -- 7 Energy -- 7.1 Introduction -- 7.2 Energy transformations -- 7.3 Work -- 7.4 Potential energy -- 7.5 Kinetic energy -- 7.6 Conservation of mechanical energy -- 7.7 Power -- 7.8 Torque and work done -- Activities -- Problems -- 8 Heat -- 8.1 Introduction -- 8.2 Heat capacity 8.3 Expansion -- 8.4 Gas laws -- 8.5 Heat transfer processes -- 8.6 Conduction -- Activities -- Problems -- 9 D.c. circuits -- 9.1 Introduction -- 9.2 Kirchhoff's laws -- 9.3 Resistance -- 9.4 Resistors in series -- 9.5 Resistors in parallel -- 9.6 Series-parallel circuits -- 9.7 Resistivity -- 9.8 Basic measurements -- Activities -- Problems -- 10 Magnetism -- 10.1 Introduction -- 10.2 Electromagnetic induction -- 10.3 Generators -- 10.4 Transformers -- 10.5 Force on a current-carrying conductor -- Activities -- Problems -- 11 Circuit analysis -- 11.1 Introduction -- 11.2 Series and parallel resistors -- 11.3 Kirchhoff's laws -- 11.4 internal resistanceProblems -- 12 Semiconductors -- 12.1 introduction -- 12.2 Current flow -- 12.3 Junction diodes -- Activities -- Problems -- 13 Capacitance -- 13.1 Introduction -- 13.2 Capacitor -- 13.3 Capacitors in series and parallel -- 13.4 Parallel plate capacitor -- 13.5 Forms of capacitors -- 13.6 Capacitors in circuits -- 13.7 Energy stored in a charged capacitor -- Activities; Problems -- 14 Magnetic flux -- 14.1 Introduction -- 14.2 Electromagnetic induction -- 14.3 The magnetic circuit -- 14.4 Reluctance -- 14.5 Magnetisation curves -- 14.6 Hysteresis -- 14.7 Inductance -- 14.8 Mutual inductance -- 14.9 Force on a current-carrying conductor -- Activities -- Problems -- 15 Alternating current -- 15.1 Introduction -- 15.2 Sinusoidal waveform -- 15.3 Average value -- 15.4 Root- mean- square values -- 15.5 Basic measurements -- Activities -- Problems -- 16 Series a.c. circuits -- 16.1 Introduction -- 16.2 Sine waves and phasors -- 16.3 R, L, C in a.c. circuits -- 16.4 Components in series -- 16.5 Series resonance -- 16.6 Subtracting phasors -- 16.7 Power in a.c. circuits -- 16.8 Power factor -- 16.9 Rectification -- Activities -- Problems -- 17 D.c. circuit analysis -- 17.1 Introduction -- 17.2 Thévenin's theorem -- 17.3 Norton's theorem.

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