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Algebraic functions
Kenkichi Iwasawa

Translations of Mathematical Monographs
1993; 287 pp; softcover
Volume: 118
Reprint/Revision History:
reprinted 2001
ISBN-10: 0-8218-1969-0
ISBN-13: 978-0-8218-1969-2
List Price: US$99
Member Price: US$79.20
Order Code: MMONO/118.S
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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.


Graduate students of algebra.


"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 well-composed 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
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