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READ [EBOOK] The Foundations of Information Security An Introduction to Number Theory With Application to Cryptography (

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READ [EBOOK] The Foundations of Information Security An Introduction to Number Theory With Application to Cryptography (

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  1. READ [EBOOK] The Foundations of Information Security: An Introduction to Number Theory With Application to Cryptography (Ebook pdf) The Foundations of Information Security: An Introduction to Number Theory With Application to Cryptography Download and Read online, DOWNLOAD EBOOK,[PDF EBOOK EPUB],Ebooks download, Read EBook/EPUB/KINDLE,Download Book Format PDF.

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  3. Description It is one of the most remarkable stories ever told!In 1640, Pierre de Fermat conjectured a certain simple divisibility relationship of prime powers of any counting number (1,2,3,...). The conjecture, if true, provides a short cut to dividing very large numbers.A few decades later in 1683, Gottfried Leibniz proved Fermat's conjecture thereby turning it into Fermat’s Little Theorem. Then in 1736, Leonhard Euler not only provided an independent proof, but generalized it to non-prime numbers. We now know the latter as Fermat-Euler Theorem.More than a century later in 1798, Carl Friedrich Gauss published Disquisitiones Arithmeticae (Latin for Arithmetical Investigations), his seminal work on the science of counting numbers, distilling the results of his predecessors and adding his own, in the process creating an entirely new field to be known hence as Number Theory.Almost another two centuries would pass before these ideas found a practical, powerful application in Information Security. In 1976 Whitfield Diffie and Martin Hellman published a public encryption algorithm. A year later, Ron Rivest, Adi Shamir and Leonard Adleman published another algorithm that utilized Fermat-Euler Theorem. Known more commonly as RSA, this algorithm is the basis of Internet commerce and Internet Security.In the following pages, we tell this story. Our prose is woven in the properties of counting numbers. The thesis will be some mathematical truths known as theorems. And we capture the major supporting details in the ‘small truths’ called lemma, while the minor supporting details we embody in the corollaries …

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