Description

Book Synopsis


Trade Review
The main objective of this book, which is mainly aimed at undergraduate students, is to explain the arithmetic of elliptic curves defined over finite fields and to show how those curves can be used in cryptography. In order to do that, the author purposely avoids complex mathematical demonstrations and, instead, presents the concepts in a more descriptive way, suggesting some topics for further exploration by the reader." — Victor Gayoso Martíinez, Mathematical Reviews

Table of Contents
  • Three motivating problems
  • Back to the beginning
  • Some elementary number theory
  • A second view of modular arithmetic: $\mathbb{Z}_n$ and $U_n$
  • Public-key cryptography and RSA
  • A little more algebra
  • Curves in affine and projective space
  • Applications of elliptic curves
  • Deeper results and concluding thoughts
  • Answers to selected exercises
  • Bibliography
  • Index.

    Modern Cryptography and Elliptic Curves

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      £47.70

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      RRP £53.00 – you save £5.30 (10%)

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      A Paperback by Thomas R. Shemanske

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        Publisher: MP-AMM American Mathematical
        Publication Date: Publication Date: 8/30/2017 12:00:00 AM
        ISBN13: 9781470435820, 978-1470435820
        ISBN10: 1470435829

        Description

        Book Synopsis


        Trade Review
        The main objective of this book, which is mainly aimed at undergraduate students, is to explain the arithmetic of elliptic curves defined over finite fields and to show how those curves can be used in cryptography. In order to do that, the author purposely avoids complex mathematical demonstrations and, instead, presents the concepts in a more descriptive way, suggesting some topics for further exploration by the reader." — Victor Gayoso Martíinez, Mathematical Reviews

        Table of Contents
        • Three motivating problems
        • Back to the beginning
        • Some elementary number theory
        • A second view of modular arithmetic: $\mathbb{Z}_n$ and $U_n$
        • Public-key cryptography and RSA
        • A little more algebra
        • Curves in affine and projective space
        • Applications of elliptic curves
        • Deeper results and concluding thoughts
        • Answers to selected exercises
        • Bibliography
        • Index.

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