A course in p-adic analysis
Robert, Alain M.
A course in p-adic analysis - 1st ed. - New York : Springer-Verlag new York, Inc., c2000. - xvi, 437 p. : ill. ; 23cm - Graduate Texts in Mathematics Vol. 198 .
Includes 27 figures, illustrations, appendices to every chapter, specific references for the text, bibliographic references, tables, basic principles of ultrametric analysis, conventions, notation, terminology and subject 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.
9781441931504 9780387986692 9781071646304 (pbk.) € 59.99 = Mathematics
Mathematics
Algebra
Number theory
Algebraic number theory
p-adic numbers
p-adic analysis
512.74 / ROB
A course in p-adic analysis - 1st ed. - New York : Springer-Verlag new York, Inc., c2000. - xvi, 437 p. : ill. ; 23cm - Graduate Texts in Mathematics Vol. 198 .
Includes 27 figures, illustrations, appendices to every chapter, specific references for the text, bibliographic references, tables, basic principles of ultrametric analysis, conventions, notation, terminology and subject 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.
9781441931504 9780387986692 9781071646304 (pbk.) € 59.99 = Mathematics
Mathematics
Algebra
Number theory
Algebraic number theory
p-adic numbers
p-adic analysis
512.74 / ROB
