The textbook "Fullerenes" by Birkhäuser offers a comprehensive and detailed examination of the element carbon and its various modifications, particularly fullerenes. It covers the chemical properties, production methods, and structural characteristics of these fascinating molecules. The author, Joachim Dettmann, guides readers through the history of fullerenes, starting with the fundamentals of carbon and progressing to complex topics such as cluster catalysis and the chemistry of fullerenes. The book is divided into several chapters that address different aspects of the topic, including the symmetry and topology of fullerenes as well as their applications in modern science. With 252 pages, it provides a solid foundation for students and professionals in the fields of mathematics and natural sciences who are interested in the structure and properties of carbon compounds.