Elliptic Curves: Number Theory and Cryptography, Second - download pdf or read online

By Lawrence C. Washington

Like its bestselling predecessor, Elliptic Curves: quantity thought and Cryptography, moment Edition develops the idea of elliptic curves to supply a foundation for either quantity theoretic and cryptographic functions. With extra workouts, this variation bargains extra entire assurance of the basic idea, thoughts, and functions of elliptic curves.

New to the second one Edition

  • Chapters on isogenies and hyperelliptic curves
  • A dialogue of different coordinate platforms, comparable to projective, Jacobian, and Edwards coordinates, besides similar computational issues
  • A extra entire therapy of the Weil and Tate–Lichtenbaum pairings
  • Doud’s analytic procedure for computing torsion on elliptic curves over Q
  • An rationalization of ways to accomplish calculations with elliptic curves in different renowned computing device algebra systems
  • Taking a uncomplicated method of elliptic curves, this obtainable booklet prepares readers to take on extra complicated difficulties within the box. It introduces elliptic curves over finite fields early within the textual content, ahead of relocating directly to fascinating functions, akin to cryptography, factoring, and primality checking out. The booklet additionally discusses using elliptic curves in Fermat’s final Theorem. correct summary algebra fabric on crew concept and fields are available within the appendices.

    Show description

    Read or Download Elliptic Curves: Number Theory and Cryptography, Second Edition (Discrete Mathematics and Its Applications) PDF

    Similar number theory books

    Download PDF by Benjamin Fine,Gerhard Rosenberger: Number Theory: An Introduction via the Distribution of

    This ebook offers an creation and evaluation of quantity idea in response to the distribution and houses of primes. This new angle offers either a company heritage within the usual fabric in addition to an outline of the total self-discipline. the entire crucial themes are lined: primary theorem of mathematics, idea of congruences, quadratic reciprocity, mathematics features, and the distribution of primes.

    Download e-book for iPad: Mathematics of Aperiodic Order (Progress in Mathematics) by Johannes Kellendonk,Daniel Lenz,Jean Savinien

    What's order that isn't according to easy repetition, that's, periodicity? How needs to atoms be prepared in a fabric in order that it diffracts like a quasicrystal? How do we describe aperiodically ordered structures mathematically? initially prompted by way of the – later Nobel prize-winning – discovery of quasicrystals, the research of aperiodic order has because develop into a well-established and swiftly evolving box of mathematical study with shut ties to a shocking number of branches of arithmetic and physics.

    Download e-book for kindle: Die Wechselwirkung zwischen Zahlenrechnen und Zahlentheorie by Ph. Maennchen

    Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer ebook data mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen.

    New PDF release: Geometry, Analysis and Probability: In Honor of Jean-Michel

    This quantity provides unique examine articles and prolonged surveys regarding the mathematical curiosity and paintings of Jean-Michel Bismut. His extraordinary contributions to likelihood conception and worldwide research on manifolds have had a profound influence on numerous branches of arithmetic within the parts of keep an eye on thought, mathematical physics and mathematics geometry.

    Extra info for Elliptic Curves: Number Theory and Cryptography, Second Edition (Discrete Mathematics and Its Applications)

    Example text

    Download PDF sample

    Elliptic Curves: Number Theory and Cryptography, Second Edition (Discrete Mathematics and Its Applications) by Lawrence C. Washington

    by Joseph

    Rated 4.77 of 5 – based on 43 votes