"Cyclotomic Fields and Zeta Values" is a specialized book that explores the central role of cyclotomic fields in number theory. It addresses the so-called main conjecture related to these fields, which is considered one of the deepest and most beautiful theorems in this area. The book provides a detailed and elegant presentation of the simplest proof of the main conjecture for cyclotomic fields. The authors, R. Sujatha and John Coates, are leading experts in the field and present the material in a way that is accessible to both graduate students and non-experts in Iwasawa theory. The motivation behind this work lies not only in the beauty of the subject but also in the broader arithmetic interest that these questions raise. It is a valuable resource for anyone interested in the connections between special values of zeta and L-functions and arithmetic expressions.