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P Adic Differential Equations 2010.pdf

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CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS 125
Editorial Board
B. BOLLOBÁS, W. FULTON, A. KATOK, F. KIRWAN,
P. SARNAK, B. SIMON, B. TOTARO
p-adic Differential Equations
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 puter science. This book, the prehensive 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.
K IRAN S. KEDLAYA is Associate Professor of Mathematics at the
Massachusetts Institute of Technology.
CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS
Editorial Board:
B. Bollobás, W. Fulton, A. Katok, F. Kirwan, P. Sarnak, B. Simon, B. Totaro
All the titles listed below can be obtained from good booksellers or from Cambridge
University Press. For plete series listing visit:
ies/?code=CSAM
Already published
73 B. Bollobás Random graphs (2nd edition)
74 R. M. Dudley Real analysis and probability (2nd edition)
75 T. Sheil-plex polynomials
76 C. Voisin Hodge theory plex algebraic geometry, I
77 C. Voisin Hodge theory plex algebraic geometry, II
78 V. pletely bounded maps and operator algebras
79 F. Gesztesy & H. Holden Soliton equations and their algebro-geometric solutions, I
81 S. Mukai An introduction to invariants and moduli
82 G. Tourlakis Lectures in logic and set theory, I
83 G. Tourlakis Lectures in logic and set theory, II
84 R. A. Bailey Association schemes
85 J. Carlson, S. Müller-Stach & C. Peters Period mappings and period domains
86 J. J. Duistermaat & J. A. C. Kolk Multidime