Algebraic Numbers and Algebraic Functions (Chapman Hall/CRC Mathematics Series) - Hardcover

Cohn, P.M.

Hardcover

ISBN 10: 0412361906 ISBN 13: 9780412361906

Publisher: Chapman and Hall/CRC, 1991

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.

About this title

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

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 1991
• Language: English
• ISBN 10: 0412361906
• ISBN 13: 9780412361906
• Binding: Hardcover
• Edition number: 1
• Number of pages: 192