This chapter provides a simple introduction to muon spectroscopy, beginning with some of the basic techniques used to produce muons, their relevant physical properties, and the consequences of implantation of muons into matter. An introduction to the theoretical aspects of the description of muons, electrons, and protons in magnetic fields, and to the interactions between these particles, is used as a basis for the discussion of a variety of experiments with transverse‐field and longitudinal‐field muon spectroscopies. These include muon spin relaxation, rotation, and resonance measurements. A very brief account of studies of chemical interest illustrates some of the types of information that can be extracted from muon spectroscopic measurements. The extensive list of references should enable readers to develop their knowledge further leading to an extension of the range of measurements on chemical and biological samples — areas where, we believe, wide‐ranging opportunities for original applications to well‐established problems exist.