We give an elementary introduction to the theory of supermembranes. DEDICATED TO THE MEMORY OF ABDUS SALAM Based on lectures given at the T. A. S. I. Summer School, University of Colorado, Boulder, June 1996; the Topical Meeting, Imperial College, London, July 1996 and the 26th British Universities Summer School in Theoretical Elementary Particle Physics, University of Swansea, September 1996. ...