"Version: 20190301"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.1. Generating functions -- 1.1. The basic idea -- 1.2. Elementary examples of generating functions2. Groups -- 2.1. Introduction -- 2.2. Groups in general and finite groups in particular -- 2.3. Continuous groups -- 2.4. Group action and in…