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  3. p-adic Differential Equations
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    • Publisher:
      Cambridge University Press
      Publication date:
      August 2012
      June 2010
      ISBN:
      9780511750922
      DOI:
      https://doi.org/10.1017/CBO9780511750922
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      • Subjects:
      Mathematics (general), Mathematics, Number Theory
      Series:
      Cambridge Studies in Advanced Mathematics (125)
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    Subjects:
    Mathematics (general), Mathematics, Number Theory
    Series:
    Cambridge Studies in Advanced Mathematics (125)
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    Book description

    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.

    Reviews

    'Before this book appeared, it was not easy for graduate students and researchers to study p-adic differential equations and related topics because on needed to read a lot of original papers. Now one can easily access these areas via this book.'

    Source: Mathematical Reviews

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