At the interface between chemistry, biology, and physics, fullerenes were one of the first objects to be dissected, scanned, and studied by the modern multi-specialty biotech community and are currently thriving in both research and practical application. Other members of the sp2 nanocarbon family, such as nanotubes and graphene, are currently being studied with the vigor equal to or greater than of the early days of buckminsterfullerene. Fullerenes: Nanochemistry, Nanomagnetism, Nanomedicine, Nanophotonics utilizes a computational platform to embrace two distinguishing fullerene features: odd electrons and exclusive donor-acceptor abilities. The author showcases fullerene nanoscience from a computational viewpoint, intertwining theory and experiment to elucidate key concepts in fullerene science and future avenues of exploration. The author uses fullerene membership in sp2 nanocarbon nanoscience to demonstrate the intimate similarity in the behavior of fullerene, carbon nanotubes, and grapheme. The majority of available books on fullerenes and nanocarbons are collected works and reviews of authors with varying views and interests. While playing a vital role in the developments of nanoscience, these collections do not present a coherent analysis of the status of the field. This book, on the other hand, presents a unified introduction to the multidisciplinary world of fullerene nanoscience based on a single paradigm of concepts, terminology, and ideas. The conceptual approach is accessible, deeply grounded by quantum theory, and easily adapted to both modern computers and the classroom.