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Contenido

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.

Detalles del artículo

• Páginas : 437
• Editorial : Springer
• Idioma : Inglés
• Fecha de Publicación : 01/01/2000
• ISBN: 9780387986692
• Serie: Graduate texts in mathematics
• Encuadernación : Cartoné
• Nº Volúmenes : 1
• País de Publicación : Estados Unidos
• Lugar de Publicación : New York