Sinopsis
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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Críticas
"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
Reseña del editor
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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Algebraic Numbers and Algebraic Functions (Chapman Hall/CRC Mathematics Series)
Publicado por
Chapman and Hall/CRC, 1991
ISBN 10: 0412361906
ISBN 13: 9780412361906
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Librería: Wonder Book, Frederick, MD, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: Very Good. Very Good condition. A copy that may have a few cosmetic defects. May also contain light spine creasing or a few markings such as an owner's name, short gifter's inscription or light stamp. Nº de ref. del artículo: V04B-03639
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