Items related to Algebraic Numbers and Algebraic Functions
Synopsis
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.
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Review
This elegant, lucid and highly readable exposition is strongly recommended to anyone with an interest in algebra.
-Mathematika
The book is pleasantly written...it will certainly be useful to beginners in the field.
-Zentralblatt fur Mathematik
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2014
- ISBN 10 1489934456
- ISBN 13 9781489934451
- BindingPaperback
- LanguageEnglish
- Number of pages208
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