Topics in the Theory of Algebraic Function Fields - Couverture rigide

Villa Salvador, Gabriel Daniel

Couverture rigide

ISBN 10 : 0817644806 ISBN 13 : 9780817644802

Editeur : Birkhauser Boston Inc, 2006

Synopsis

The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory. This text adopts the latter perspective by applying an arithmetic-algebraic viewpoint to the study of function fields as part of the algebraic theory of numbers. The examination explains both the similarities and fundamental differences between function fields and number fields, including many exercises and examples to enhance understanding and motivate further study. The only prerequisites are a basic knowledge of field theory, complex analysis, and some commutative algebra. The book can serve as a text for a graduate course in number theory or an advanced graduate topics course. Alternatively, chapters 1-4 can serve as the base of an introductory undergraduate course for mathematics majors, while chapters 5-9 can support a second course for advanced undergraduates. The work also provides an excellent reference.

Détails de l'édition

• Éditeur: Birkhauser Boston Inc
• Date d'édition: 2006
• Langue: anglais
• ISBN 10: 0817644806
• ISBN 13: 9780817644802
• Reliure: Relié
• Nombre de pages: 668
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne