Modern Cryptography and Elliptic Curves – A Beginner`s Guide Shemanske Paperback

Modern Cryptography and Elliptic CurvesA Beginner's Guide\nAuthor(s): Thomas R. Shemanske\nFormat: Paperback\nPublisher: American Mathematical Society, United States\nImprint: American Mathematical Society\nISBN-13: 9781470435820, 978-1470435820\nSynopsis\nThis book offers the beginning undergraduate student some of the vista of modern mathematics by developing and presenting the tools needed to gain an understanding of the arithmetic of elliptic curves over finite fields and their applications to modern cryptography. This gradual introduction also makes a significant effort to teach students how to produce or discover a proof by presenting mathematics as an exploration, and at the same time, it provides the necessary mathematical underpinnings to investigate the practical and implementation side of elliptic curve cryptography (ECC).\n\nElements of abstract algebra, number theory, and affine and projective geometry are introduced and developed, and their interplay is exploited. Algeb.