1 Introduction.- 2 History.- 3 Definition and Terminology.- 4 Methodology.- 4.1 Introduction.- 4.2 General Conditions.- 4.3 Calibration.- 4.4 Electrodes.- 4.5 References.- 4.6 Baseline.- 4.7 Artifacts.- 5 Data Acquisition and Signal Analysis.- 5.1 Analog to Digital Conversion.- 5.2 Aliasing.- 5.3 Amplitude Mapping (Time Domain).- 5.4 Frequency Mapping (Frequency Domain).- 5.5 Map Construction (Spatial Domain).- 5.6 Map Features.- 5.7 Mapping of Evoked Potentials.- 5.7.1 Latency and Amplitude Determination for EPs and ERPs.- 6 Storing of Data.- 7 Statistical Procedures.- 8 Practical Application: Findings in Normal Subjects.- 8.1 Introduction.- 8.2 EEG Features in the Time Domain.- 8.2.1 Dipole Estimation.- 8.3 EEG Features in the Frequency Domain.- 8.4 EP Features.- 8.4.1 Mapping of Visual Evoked Potentials.- 8.4.2 Mapping of Auditory Evoked Potentials.- 8.4.3 Mapping of Somatosensory Evoked Potentials.- 8.4.4 Mapping of Contingent Negative Variation (CNV) and in Response to Olfactory and Chemosensory Stimulation.- 8.5 EEG Mapping After Sensory, Motor, and Mental Activation and due to Psychotherapeutic Interventions.- 8.6 Sleep Features.- 9 Findings in Diseases.- 9.1 Introduction.- 9.2 Evaluation of EEG and EP Maps.- 9.3 Clinical Examples.- 9.3.1 Introduction.- 9.3.2 EEG Mapping of Local Frequency and Amplitude Differences.- 9.3.2.1 States Causing Increased Intracranial Pressure (Brain Tumors).- 9.3.2.2 Cerebrovascular Diseases.- 9.3.3 EEG Mapping of Transients.- 9.4 EEG and EP Mapping During Normal Aging.- 9.4.1 Changes in EEG Topography.- 9.4.2 Changes in P300 Topography.- 9.5 EEG and P300 Topography in Dementia of Alzheimer Type.- 9.5.1 Stage-Dependent Alterations of EEG and P300 Mapping in Dementia of Alzheimer Type.- 9.5.2 Differential Diagnosis of Dementia.- 9.5.2.1 Luetic Infection (Progressive Paralysis).- 9.5.2.2 Pick’s Disease.- 9.5.2.3 Wilson’s Disease.- 9.5.2.4 Parkinson’s Disease, Parkinson’s Disease with Dementia, Dementia of Alzheimer Type, and Major Depressive Disorder.- 9.5.2.5 Dementia of Alzheimer Type and Multi-infarct Dementia.- 9.6 EEG and EP Mapping in Psychoses.- 9.6.1 Case Studies.- 9.6.1.1 Schizoaffective Disorder (DSM-III: 295.7).- 9.6.1.2 Schizophrenic Disorder, Paranoid Subtype (DSM-III: 295.3).- 9.6.1.3 Major Depressive Disorder (DSM-III: 296.2).- 9.6.2 Group Results.- 9.6.2.1 EEG Mapping in Schizophrenia.- 9.6.2.2 P300 Mapping in Schizophrenia.- 9.6.2.3 EEG and EP Mapping in Depression.- 9.7 EEG and EP Mapping in Clinical Psychopharmacology.- 9.7.1 EEG Mapping After Application of Drugs.- 9.7.2 EP Mapping After Administration of Drugs.- 10 Advanced Methods.- 10.1 Dipole Source Estimation.- 10.2 Neurometrics.- 10.3 Determining Differences Between Maps.- References.