A Course in P-adic Analysis (Graduate Texts in Mathematics 198 Softcover reprint of hardcover 1st ed. 2000)

A Course in P-adic Analysis (Graduate Texts in Mathematics 198 Softcover reprint of hardcover 1st ed. 2000)

By: Alain M. Robert (author)Paperback

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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: 19/10/2010
  • ISBN13: 9781441931504
  • Format: Paperback
  • Number Of Pages: 454
  • ID: 9781441931504
  • weight: 640
  • ISBN10: 1441931503
  • edition: Softcover reprint of hardcover 1st ed. 2000

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