Introduction to p-adic numbers and their functions / Kurt Mahler ; Notes by Henry Hansen

Auteur principal : Mahler, Kurt, 1903-1988, AuteurAuteur secondaire : Hansen, Henry, 1920-2014, AuteurType de document : MonographieCollection : Cambridge tracts in mathematics, 64Langue : anglais.Pays: Grande Bretagne.Éditeur : Cambridge : Cambridge University Press, 1973Description : 1 vol. (IX-91 p.) ; 23 cmISBN: 9780521200011.ISSN: 0950-6284.Bibliographie : Bibliogr. p. 88-89. Index.Sujet MSC : 11S80, Algebraic number theory: local and p-adic fields, Other analytic theory
11A05, Elementary number theory, Multiplicative structure; Euclidean algorithm; greatest common divisors
12J10, Field theory and polynomials - Topological fields, Valued fields
En-ligne : MathSciNet | Aperçu Google Item type: Monographie
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This book contains an elementary introduction to the theory of p-adic numbers and their analysis. The author presents the construction of the g-adic ring and the p-adic field and deals with the arithmetic of g-adic and in particular p-adic numbers. ... The author compares the similarities and differences in the properties of functions of a p-adic variable with those of a real variable. The theory is illustrated by many examples and there are sections with problems. The author also mentions some open problems. The book is an excellent introduction to p-adic theory. (MathSciNet)

Bibliogr. p. 88-89. Index

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