Basic Structures of Function Field Arithmetic From the reviews: The book..is a thorough and very readable introduction to the arithmetic of function fields of one variable over a finite field by an author who has made fundamental contributions to the field. It serves as a definitive reference volume as well as offering graduate students with a solid understanding of algebraic number theory the opportunity to quickly reach the frontiers of knowledge in an important area of mathematics..The arithmetic of function fields is a universe filled with beautiful surprises in which familiar objects from classical number theory reappear in new guises and in which entirely new objects play important roles. Gossclear exposition and lively style make this book an excellent introduction to this fascinating field. MR 97i:11062