Integer-Valued Polynomials (Mathematical Surveys & Monographs)

Cahen, Paul-Jean; Chabert, Jean-Luc

ISBN 10: 0821803883 / ISBN 13: 9780821803882

Published by American Mathematical Society, 1997

About this Item

Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar.

Seller Inventory # 42701527/2

Bibliographic Details

• Title: Integer-Valued Polynomials (Mathematical Surveys & Monographs)
• Publisher: American Mathematical Society
• Publication Date: 1997
• Language: English
• ISBN 10: 0821803883
• ISBN 13: 9780821803882
• Binding: Hardcover
• Condition: Sehr gut
• Seller catalogs:
  • Bücher

About this title

Synopsis

Integer-valued polynomials on the ring of integers have been known for a long time and have been used in calculus. Polya and Ostrowski generalized this notion to rings of integers of number fields. More generally still, one may consider a domain $D$ and the polynomials (with coefficients in its quotient field) mapping $D$ into itself. They form a $D$-algebra--that is, a $D$-module with a ring structure. Appearing in a very natural fashion, this ring possesses quite a rich structure, and the very numerous questions it raises allow a thorough exploration of commutative algebra. Here is the first book devoted entirely to this topic. Features: Thorough reviews of many published works. Self-contained text with complete proofs. Numerous exercises.