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: 9781441931504
- Medium: Buch
- ISBN: 978-1-4419-3150-4
- Verlag: Springer
- Erscheinungstermin: 19.11.2010
- Sprache(n): Englisch
- Auflage: 1. Auflage. Softcover version of original hardcover Auflage 2000
- Serie: Graduate Texts in Mathematics
- Produktform: Kartoniert, Paperback
- Gewicht: 692 g
- Seiten: 438
- Format (B x H x T): 155 x 235 x 25 mm
- Ausgabetyp: Kein, Unbekannt