000			01766nam a22002777a 4500
003			OSt
005			20250508183100.0
008			250508b |||||||| |||| 00| 0 hin d
020			_a9781071646304
040			_aNISER LIBRARY _cNISER LIBRARY _beng
082			_a511.386 _bROB-C
100	1		_aRobert, Alain M.
245	1	0	_aCourse in p-adic analysis
260			_aNew York : _bSpringer, _c2000.
300			_axv, 437 pages : _billustrations ; _c25 cm
490			_aGraduate texts in mathematics ; _v198
504			_aIncludes bibliographical references (p. [423]-424) and 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		0	_ap-adic analysis
650		0	_aDifferential equation
650		0	_aFunctional equation
650		0	_aCalculus
856			_3Table of contents _uhttps://link.springer.com/content/pdf/bfm:978-1-4757-3254-2/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/6191146-a-course-in-p-adic-analysis?ref=nav_sb_ss_1_13#CommunityReviews
942			_2udc _cN
999			_c36027 _d36027