Buy this book
- About this book
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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
- Table of contents (10 chapters)
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Additive Polynomials
Pages 1-33
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Review of Non-Archimedean Analysis
Pages 35-42
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The Carlitz Module
Pages 43-62
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Drinfeld Modules
Pages 63-135
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T-modules
Pages 137-177
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Table of contents (10 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Basic Structures of Function Field Arithmetic
- Authors
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- David Goss
- Copyright
- 1998
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-642-61480-4
- DOI
- 10.1007/978-3-642-61480-4
- Softcover ISBN
- 978-3-540-63541-3
- 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
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