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Algebraic Numbers and Algebraic Functions.

Author: P M Cohn
Publisher: Boca Raton, FL : CRC Press, 2017.
Edition/Format:   eBook : Document : English : First editionView all editions and formats
Summary:
"This book is an introduction to the theory of algebraic numbers and algebraic functions of one variable. The basic development is the same for both using E Artin's legant approach, via valuations. Number Theory is pursued as far as the unit theorem and the finiteness of the class number. In function theory the aim is the Abel-Jacobi theorem describing the devisor class group, with occasional geometrical asides to  Read more...
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Details

Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: P M Cohn
ISBN: 9781351069588 1351069586 9781351078030 1351078038
OCLC Number: 1019727468
Description: 1 online resource (204 pages)
Contents: 1. Fields with valuations 2. Extensions 3. Global fields 4. Function fields 5. Algebraic function fields in two variables

Abstract:

"This book is an introduction to the theory of algebraic numbers and algebraic functions of one variable. The basic development is the same for both using E Artin's legant approach, via valuations. Number Theory is pursued as far as the unit theorem and the finiteness of the class number. In function theory the aim is the Abel-Jacobi theorem describing the devisor class group, with occasional geometrical asides to help understanding. Assuming only an undergraduate course in algebra, plus a little acquaintance with topology and complex function theory, the book serves as an introduction to more technical works in algebraic number theory, function theory or algebraic geometry by an exposition of the central themes in the subject."--Provided by publisher.

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