000			03285cam a2200385 a 4500
001			16079467
003			OSt
005			20150408114015.0
008			100201s2010 enka b 001 0 eng
010			_a 2010004489
015			_aGBB039433 _2bnb
016	7		_a015510910 _2Uk
020			_a9780521768795 (hardback)
035			_a(OCoLC)ocn503072990
040			_aDLC _cDLC _dYDX _dBTCTA _dUKM _dYDXCP _dBWK _dCDX _dBWX _dIXA _dIUL _dDLC
050	0	0	_aQA241 _b.K43 2010
082	0	0	_a512.74 _222
100	1		_aKedlaya, Kiran Sridhara, _d1974- _914469
245	1	0	_ap-adic differential equations / _cKiran S. Kedlaya.
260			_aCambridge ; _aNew York : _bCambridge University Press, _c2010.
300			_axvii, 380 p. : _bill. ; _c24 cm.
490	1		_aCambridge studies in advanced mathematics ; _v125
504			_aIncludes bibliographical references and index.
505	0		_aNorms on algebraic structures -- Newton polygons -- Ramification theory -- Matrix analysis -- Formalism of differential algebra -- Metric properties of differential modules -- Regular singularities -- Rings of functions on discs and annuli -- Radius and generic radius of convergence -- Frobenius pullback and pushforward -- Variation of generic and subsidiary radii -- Decomposition by subsidiary radii -- p-adic exponents -- Formalism of difference algebra -- Frobenius modules -- Frobenius modules over the Robba ring -- Frobenius structures on differential modules -- Effective convergence bounds -- Galois representations and differential modules -- The p-adic local monodromy theorem -- The p-adic local monodromy theorem: proof -- Picard-Fuchs modules -- Rigid cohomology -- p-adic Hodge theory.
520			_a"Over the last 50 years the theory of p-adic differential equations has grown into an active area of research in its own right, and has important applications to number theory and to computer science. This book, the first comprehensive and unified introduction to the subject, improves and simplifies existing results as well as including original material. Based on a course given by the author at MIT, this modern treatment is accessible to graduate students and researchers. Exercises are included at the end of each chapter to help the reader review the material, and the author also provides detailed references to the literature to aid further study"--Provided by publisher.
520			_a"Although the very existence of a highly developed theory of p-adic ordinary differential equations is not entirely well known even within number theory, the subject is actually almost 50 years old. Here are circumstances, past and present, in which it arises"-- Provided by publisher.
650		0	_ap-adic analysis. _910564
650		0	_aDifferential equations.
830		0	_aCambridge studies in advanced mathematics ; _v125. _914470
856	4	1	_3Table of contents only _uhttp://www.loc.gov/catdir/enhancements/fy1006/2010004489-t.html
856	4	2	_3Publisher description _uhttp://www.loc.gov/catdir/enhancements/fy1006/2010004489-d.html
856	4	2	_3Contributor biographical information _uhttp://www.loc.gov/catdir/enhancements/fy1006/2010004489-b.html
942			_2ddc _cBOOK
999			_c21592 _d256092