000			01936nam a22003377a 4500
003			OSt
005			20250729114213.0
008			250729b |||||||| |||| 00| 0 eng d
020			_a9781441931504
020			_a9780387986692
020			_a9781071646304 (pbk.) _c€ 59.99
040			_bENG _cIISER-BPR _dIISER-BPR
041			_aENG
082			_a512.74 _bROB _223rd
100			_aRobert, Alain M. _95516
222			_aMathematics
245			_aA course in p-adic analysis
250			_a1st ed.
260			_aNew York : _bSpringer-Verlag new York, Inc., _cc2000.
300			_axvi, 437 p. : _bill. ; _c23cm
440			_aGraduate Texts in Mathematics _vVol. 198
504			_aIncludes 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.
520			_aKurt 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.
650			_aMathematics
650			_aAlgebra
650			_aNumber theory
650			_aAlgebraic number theory
650			_ap-adic numbers _92462
650			_ap-adic analysis _95517
942			_2ddc _cBK
999			_c4275 _d4275