A course in p-adic analysis / Alain M. Robert.

Format:

Book

Author/Creator:

Robert, Alain.

Series:

Graduate texts in mathematics ; 198.

Graduate texts in mathematics ; 198

Language:

English

Subjects (All):

p-adic analysis.

Physical Description:

xv, 437 pages : illustrations ; 25 cm.

Place of Publication:

New York : Springer, [2000]

Summary:

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.

Notes:

Includes bibliographical references (pages [423]-424) and index.

ISBN:

0387986693

OCLC:

42290178