A Course in P-Adic Analysis (Graduate Texts in Mathematics v.198)

A Course in P-Adic Analysis (Graduate Texts in Mathematics v.198)

By: Alain Robert (author)Paperback

2 - 4 weeks availability

Description

Discovered at the turn of the 20th century, p-adic numbers are frequently used by mathematicians and physicists. This text is a self-contained presentation of basic p-adic analysis with a focus on analytic topics. It offers many features rarely treated in introductory p-adic texts such as topological models of p-adic spaces inside Euclidian space, a special case of Hazewinkel's functional equation lemma, and a treatment of analytic elements.

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Contents

1 p-adic Numbers.- 2 Finite Extensions of the Field of p-adic Numbers.- 3 Construction of Universal p-adic Fields.- 4 Continuous Functions on Zp.- 5 Differentiation.- 6 Analytic Functions and Elements.- 7 Special Functions, Congruences.- Specific References for the Text.- Tables.- Basic Principles of Ultrametric Analysis.- Conventions, Notation, Terminology.

Product Details

  • publication date: 31/05/2000
  • ISBN13: 9780387986692
  • Format: Paperback, Hardback
  • Number Of Pages: 454
  • ID: 9780387986692
  • weight: 818
  • ISBN10: 0387986693

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