1 Topological methods of circuit analysis -- 1.1 Introduction -- 1.2 The concept of a graph -- 1.3 Incidence, loop and mesh matrices -- 1.4 Generalized matrix approach in circuit analysis -- 1.5 Tellegen's theorem and conservation of energy -- 1.6 Dual graphs and dual circuits -- 1.7 Computer-aided analysis of very complex circuits -- 2 Sinusoidal steady-state analysis -- 2.1 Introduction -- 2.2 The phasor concept and complex representation of sinusoids -- 2.3 Phasor relationships for R, L and C elements; complex impedance and admittance -- 2.4 Analysis of complex a.c. circuits -- 2.5 Resonance in a.c. circuits -- 2.6 Energy and power in a.c. circuits -- 2.7 Linear and circle diagrams -- 3 Magnetically Coupled Circuits -- 3.1 Introduction -- 3.2 Mutual inductance -- 3.3 Series and parallel connections of coupled elements -- 3.4 Energy storage and power transfer -- 3.5 Transformers -- 3.6 Resonance in coupled circuits -- 3.7 Circuits with more than two coupled elements -- 4 Three-phase systems -- 4.1 Introduction -- 4.2 Polyphase circuits -- 4.3 Three-phase generators -- 4.4 Three-phase connections -- 4.5 Power measurements in three-phase systems -- 4.6 Three-phase transformers -- 4.7 The rotating magnetic field -- 4.8 The principle of induction (asynchronous) and synchronous machines -- 4.9 Symmetrical components -- 5 Non-sinusoidal behavior of electric circuits -- 5.1 Introduction -- 5.2 Fourier series -- 5.3 Circuit analysis for non-sinusoidal functions -- 5.4 Characteristics of non-sinusoidal functions -- 5.5 Power due to non-sinusoidal voltages and currents -- 5.6 Factors characterizing non-sinusoidal waves -- 5.7 Harmonics in three-phase systems -- 6 Transmission lines -- 6.1 Introduction -- 6.2 Transmission line (TL) parameters -- 6.3 Transmission line equations -- 6.4 Sinusoidal response of a transmission line -- 6.5 Waves in transmission lines -- 6.6 Solution of transmission line equations -- 6.7 Characteristic parameters of a transmission line -- 6.8 Some properties of transmission lines -- 6.9 A transmission line in various operating conditions -- 6.10 Equivalent circuit of a transmission line -- 6.11 Ladder network as a TL model -- 7 Transient analysis using Laplace transform techniques -- 7.1 Introduction -- 7.2 Definition of the Laplace transform -- 7.3 Laplace transform of some simple time functions -- 7.4 Basic theorems of the Laplace transform -- 7.5 Initial-value and final-value theorems -- 7.6 Convolution theorem -- 7.7 Inverse transform and partial-fraction expansions -- 7.8 Circuit analysis with the Laplace transform -- 8 Transient behavior of transmission lines (TL) -- 8.1 Introduction -- 8.2 The differential equations of TL and their solution -- 8.3 Travelling-wave properties in a transmission line -- 8.4 Wave formations in TL at their connections -- 8.5 Wave reflections -- 8.6 Successive reflections of waves -- 8.7 Laplace transform analysis of transients in TL -- 8.8 Line with only LG or CR parameters -- Appendix A -- Appendix B.