Elliptic Curves: Number Theory and Cryptography



❰PDF / Epub❯ ☉ Elliptic Curves: Number Theory and Cryptography Author Lawrence C. Washington – E17streets4all.co.uk Like its bestselling predecessor, Elliptic Curves Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic a Like its bestselling Number Theory PDF ✓ predecessor, Elliptic Curves Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications With additional exercises, this edition offers comprehensive coverage of the fundamental Elliptic Curves: PDF/EPUB ² theory, techniques, and applications of elliptic curves New to the Second Edition Chapters on isogenies and hyperelliptic curves A discussion of alternative coordinate systems, such as projective, Jacobian, and Edwards coordinates, along with related computational issues A complete treatment of the Curves: Number Theory PDF/EPUB » Weil and Tate Lichtenbaum pairings Doud s analytic method for computing torsion on elliptic curves over Q An explanation of how to perform calculations with elliptic curves in several popular computer algebra systems Taking a basic approach to elliptic curves, this accessible book prepares readers to tackle advanced problems in the field It introduces elliptic curves over finite fields early in the text, before moving on to interesting applications, such as cryptography, factoring, and primality testing The book also discusses the use of elliptic curves in Fermat s Last Theorem Relevant abstract algebra material on group theory and fields can be found in the appendices.Elliptic Curves: Number Theory and Cryptography

Lawrence Clinton Washington Number Theory PDF ✓ born , Vermont is an American mathematician, who specializes in number theoryWashington studied at Johns Hopkins University, where in he received his BA and masters degree In he earned his PhD at Princeton University under Elliptic Curves: PDF/EPUB ² Kenkichi Iwasawa with thesis Class numbers and Zp extensions He then became an assistant professor at Stanford University and from at the University of Maryland, where he became in an associate professor and in a professor He Curves: Number Theory PDF/EPUB » held visiting positions at several institutions, including IHES , Max Planck Institut f r Mathematik , the Institute for Advanced Study , and MSRI , as well as at the University of Perugia, Nankai University and the State University of CampinasWashington wrote a standard work on cyclotomic fields He also worked on p adic L functions He wrote a treatise with Allan Adler on their discovery of a connection between higher dimensional analogues of magic squares and p adic L functions Washington has done important work on Iwasawa theory, Cohen Lenstra heuristics, and elliptic curves and their applications to cryptographyIn Iwasawa theory he proved with Bruce Ferrero in a conjecture of Kenkichi Iwasawa, that the mu invariant vanishes for cyclotomic Zp extensions of abelian number fields Theorem of Ferrero Washington In he was a Sloan Fellow from Wikipedia.

Elliptic Curves: Number Theory and Cryptography ePUB
    Elliptic Curves: Number Theory and Cryptography ePUB accessible book prepares readers to tackle advanced problems in the field It introduces elliptic curves over finite fields early in the text, before moving on to interesting applications, such as cryptography, factoring, and primality testing The book also discusses the use of elliptic curves in Fermat s Last Theorem Relevant abstract algebra material on group theory and fields can be found in the appendices."/>
  • Kindle Edition
  • 536 pages
  • Elliptic Curves: Number Theory and Cryptography
  • Lawrence C. Washington
  • English
  • 12 August 2018

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