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Basic Structures of Function Field Arithmetic

  • Book
  • © 1998

Overview

  • A new and fascinating area of math *
  • The author is a fundamental contributor to the field *
  • The first systematic treatment of this subject * Introduces vital areas of current research * Clear exposition, lively style.

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Table of contents (10 chapters)

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About this book

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. Goss'clear exposition and lively style make this book an excellent introduction to this fascinating field." MR 97i:11062

Reviews

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. Goss' clear exposition and lively style make this book an excellent introduction to this fascinating field." MR 97i:11062

Authors and Affiliations

  • Department of Mathematics, The Ohio State University, Columbus, USA

    David Goss

Bibliographic Information

  • Book Title: Basic Structures of Function Field Arithmetic

  • Authors: David Goss

  • DOI: https://doi.org/10.1007/978-3-642-61480-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1998

  • Softcover ISBN: 978-3-540-63541-3Published: 18 November 1997

  • eBook ISBN: 978-3-642-61480-4Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XIII, 424

  • Additional Information: Originally published as volume 35 in the series: Ergebnisse der Mathematik und ihrer Grenzgebiete

  • Topics: Number Theory, Algebraic Geometry

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