This book provides a comprehensive overview of the latest approaches to electronic structure calculations of fullerenes. Topics include C(60) and C(70) molecules, the medium-size fullerenes, large carbon clusters, hypothetical allotropic forms of carbon, small fullerenes, endohedral complexes, heterofullerenes, fullerene derivatives, and solid-state fullerenes. A summary of recent research breakthroughs and a discussion of potential future directions round out the book. Far-reaching and well-written, the book will be welcomed by students and researchers in chemistry and quantum physics.