Course 2 BA 1 : Trinity 2007

نویسنده

  • David R. Wilkins
چکیده

9 Introduction to Number Theory and Cryptography 1 9.1 Subgroups of the Integers . . . . . . . . . . . . . . . . . . . . 1 9.2 Greatest Common Divisors . . . . . . . . . . . . . . . . . . . . 2 9.3 The Euclidean Algorithm . . . . . . . . . . . . . . . . . . . . . 3 9.4 Prime Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . 4 9.5 The Fundamental Theorem of Arithmetic . . . . . . . . . . . . 5 9.6 The Infinitude of Primes . . . . . . . . . . . . . . . . . . . . . 6 9.7 Congruences . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 9.8 The Chinese Remainder Theorem . . . . . . . . . . . . . . . . 8 9.9 A Theorem of Fermat . . . . . . . . . . . . . . . . . . . . . . . 10 9.10 The Mathematics underlying the RSA cryptographic system . 11

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تاریخ انتشار 2007