Translations of Mathematical Monographs 1993; 287 pp; softcover Volume: 118 Reprint/Revision History: reprinted 2001 ISBN10: 0821819690 ISBN13: 9780821819692 List Price: US$99 Member Price: US$79.20 Order Code: MMONO/118.S
 This is a translation of Iwasawa's 1973 book, Theory of Algebraic Functions, originally published in Japanese. Because the book treats mainly the classical part of the theory of algebraic functions, emphasizing analytic methods, it provides an excellent introduction to the subject from the classical viewpoint. Directed at graduate students, the book requires some basic knowledge of algebra, topology, and functions of a complex variable. Readership Graduate students of algebra. Reviews "The preface of the book contains very interesting historical remarks on the theory of algebraic functions. For a modern reader this is a useful book which can help in understanding the historical development of the theory of algebraic curves or Riemann surfaces, both from the algebraic and the analytical point of view. The book is written in an elementary way and is accessible to graduate students."  Mathematical Reviews "A wellcomposed book that, requiring not more than basic algebra and function theory, yields access to substantial results."  Zentralblatt MATH Table of Contents  Preparation from valuation theory
 Algebraic theory of algebraic function fields
 Riemann surfaces
 Algebraic function fields and closed Riemann surfaces
 Analytic theory of algebraic function fields
