Course in p-adic analysis
Robert, Alain M.
Course in p-adic analysis - New York : Springer, 2000. - xv, 437 pages : illustrations ; 25 cm - Graduate texts in mathematics ; 198 .
Includes bibliographical references (p. [423]-424) and index.
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.
9781071646304
p-adic analysis
Differential equation
Functional equation
Calculus
511.386 / ROB-C
Course in p-adic analysis - New York : Springer, 2000. - xv, 437 pages : illustrations ; 25 cm - Graduate texts in mathematics ; 198 .
Includes bibliographical references (p. [423]-424) and index.
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.
9781071646304
p-adic analysis
Differential equation
Functional equation
Calculus
511.386 / ROB-C
