Algebraic Numbers and Algebraic Functions

P.M. Cohn (Autor)

Buch | Hardcover

204 Seiten

2017
Taylor & Francis Ltd (Verlag)
978-1-315-89048-7 (ISBN)

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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.

P.M. Cohn

1. Fields with valuations 2. Extensions 3. Global fields 4. Function fields 5. Algebraic function fields in two variables

Erscheinungsdatum	16.01.2018
Verlagsort	London
Sprache	englisch
Maße	152 x 229 mm
Gewicht	540 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	1-315-89048-8 / 1315890488
ISBN-13	978-1-315-89048-7 / 9781315890487
Zustand	Neuware