Verkauf durch Sack Fachmedien

Robert

A Course in p-adic Analysis

Medium: Buch
ISBN: 978-0-387-98669-2
Verlag: Springer
Erscheinungstermin: 31.05.2000
Lieferfrist: bis zu 10 Tage

Kurt Hensel (1861-1941) discovered the p-adic numbers around the turn of the century. These exotic numbers (or so they appeared at first) are now well-established in the mathematical world and used more and more by physicists as well. This book offers a self-contained presentation of basic p-adic analysis. The author is especially interested in the analytical topics in this field. Some of the features which are not treated in other introductory p-adic analysis texts are topological models of p-adic spaces inside Euclidean space, a construction of spherically complete fields, a p-adic mean value theorem and some consequences, a special case of Hazewinkel's functional equation lemma, a remainder formula for the Mahler expansion, and most importantly a treatment of analytic elements.


Produkteigenschaften


  • Artikelnummer: 9780387986692
  • Medium: Buch
  • ISBN: 978-0-387-98669-2
  • Verlag: Springer
  • Erscheinungstermin: 31.05.2000
  • Sprache(n): Englisch
  • Auflage: Erscheinungsjahr 2000
  • Serie: Graduate Texts in Mathematics
  • Produktform: Gebunden, HC runder Rücken kaschiert
  • Gewicht: 1810 g
  • Seiten: 438
  • Format (B x H x T): 160 x 241 x 31 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

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.