Introduction to Number Theory


Benli M. G., Karayayla T., Pamuk S., Kaya B., Koçak Benli D.

  • Dersin Düzeyi: Lisans
  • Tasarlanan Ders Kodu: 2360123
  • Öğretim Türü: Örgün Öğretim (Normal Öğretim)
  • Dersin Kapsamı: Teorik
  • Akademik Yıl: 2023 - 2024
  • Ders İçeriği:


    Well ordering of integers, mathematical and strong induction, Divisibility, Division algorithm, Greatest common divisor, Euclidean algorithm, Linear Diophantine equations, Prime numbers, Fundamental theorem of arithmetic, General information about Goldbach conjecture and gaps between primes and Drichlet’s theorem, Congruence modulo n, Modular arithmetic, Linear congruences, Chinese remainder theorem, Fermat’s little theorem, Wilson’s theorem, Number theoretic functions, Tau and sigma functions, Greatest integer function, Moebius inversion, Euler’s phi function, Euler’s theorem and its applications to cryptography.