Integer-valued Polynomials - Mathematical Surveys and Monographs (Hardback)
  • Integer-valued Polynomials - Mathematical Surveys and Monographs (Hardback)
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Integer-valued Polynomials - Mathematical Surveys and Monographs (Hardback)

£92.50
Hardback Published: 30/12/1996
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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. This book features: thorough reviews of many published works; self-contained text with complete proofs; and numerous exercises.

Publisher: American Mathematical Society
ISBN: 9780821803882
Weight: 822 g

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