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p-adic Numbers: An Introduction (Universitext) - Softcover

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9783540629115: p-adic Numbers: An Introduction (Universitext)

Synopsis

There are numbers of all kinds: rational, real, complex, p-adic. The p-adic numbers are less well known than the others, but they play a fundamental role in number theory and in other parts of mathematics. This elementary introduction offers a broad understanding of p-adic numbers.

From the reviews: "It is perhaps the most suitable text for beginners, and I shall definitely recommend it to anyone who asks me what a p-adic number is." --THE MATHEMATICAL GAZETTE

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Review

From the reviews:

"This is a well-written introduction to the world of p-adic numbers. The reader is led into the rich structure of the fields Qp and Cp in a beautiful balance between analytic and algebraic aspects. The overall conclusion is simple: an extraordinarily nice manner to introduce the uninitiated to the subject. Not only giving the background necessary to pursue the matter, but doing it in such a way that a healthy 'hands-on experience'is generated in the process." Mededelingen van het wiskundig genootschap

"It is perhaps the most suitable text for beginners, and I shall definitely recommend it to anyone who asks me what a p-adic number is." The Mathematical Gazette

From the reviews of the second edition:

“If I had to recommend one book on the subject to a student – or even to a fully grown mathematician who had never played with p-adic numbers before – it would still be this book. ... Gouvêa has succeeded admirably in taking a topic that is not standard in the undergraduate mathematics curriculum and writing a book accessible to undergraduates that allows its reader to play with some intriguing mathematics and explore a topic which is both fun and important.” (Darren Glass, The Mathematical Association of America, January, 2011)

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  • PublisherSpringer
  • Publication date2003
  • ISBN 10 3540629114
  • ISBN 13 9783540629115
  • BindingPaperback
  • LanguageEnglish
  • Edition number2
  • Number of pages312
  • Rating
    • 4.42 out of 5 stars
      12 ratings by Goodreads

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Published by Springer, 2003
ISBN 10: 3540629114 ISBN 13: 9783540629115
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23 cm. original paperback. 302 pp. diagrams. bibliography. index. 2nd edition, corrected 3rd printing 2003. -good. 480g. Seller Inventory # 72440

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