This chapter presents an introduction to electroencephalography, a non-invasive electrophysiological monitoring method to record electrical activity of the brain. It discusses waveforms in the electroencephalogram (EEG), and EEG changes with general anaesthesia. It covers EEG neurobiology, effects of different drugs (e.g., opioids, NMDA blockers, GABAergic intravenous induction agents, hydrocarbon-based volatile anaesthetic drugs), EEG changes as a function of patients’ age, and the titration of anaesthesia. It also covers special concepts in anaesthetic monitoring, including power spectrum, spectral edge frequency, spectrogram, cross frequency coupling and coherence, proprietary pEEG indices, EEG measures of connectivity, and artefacts. Finally, it discusses future directions within the specialty.