A Course in p-adic Analysis

1. Auflage. Softcover version of original hardcover Auflage 2000
ISBN: 978-1-4419-3150-4
Verlag: Springer

Buch, Englisch, 438 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 692 g

Reihe: Graduate Texts in Mathematics

Discovered at the turn of the 20 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.

Zielgruppe

Graduate

Autoren/Hrsg.

Robert, Alain M.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik
• Sozialwissenschaften Pädagogik Lehrerausbildung, Unterricht & Didaktik Allgemeine Didaktik Naturwissenschaften, Mathematik (Unterricht & Didaktik)
• Mathematik | Informatik Mathematik Algebra Zahlentheorie

Inhaltsverzeichnis

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.