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    • Publisher:
      Cambridge University Press
      Publication date:
      June 2012
      August 1986
      ISBN:
      9781139171885
      9780521315258
      DOI:
      https://doi.org/10.1017/CBO9781139171885
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.565kg, 376 Pages
      • Subjects:
      Mathematics (general), Mathematics, Number Theory, Algebra
      Series:
      London Mathematical Society Student Texts (3)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Number Theory, Algebra
    Series:
    London Mathematical Society Student Texts (3)
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    Book description

    The p-adic numbers, the earliest of local fields, were introduced by Hensel some 70 years ago as a natural tool in algebra number theory. Today the use of this and other local fields pervades much of mathematics, yet these simple and natural concepts, which often provide remarkably easy solutions to complex problems, are not as familiar as they should be. This book, based on postgraduate lectures at Cambridge, is meant to rectify this situation by providing a fairly elementary and self-contained introduction to local fields. After a general introduction, attention centres on the p-adic numbers and their use in number theory. There follow chapters on algebraic number theory, diophantine equations and on the analysis of a p-adic variable. This book will appeal to undergraduates, and even amateurs, interested in number theory, as well as to graduate students.

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