Unit:
Διαπανεπιστημιακό ΠΜΣ Διδακτική και Μεθοδολογία των ΜαθηματικώνLibrary of the School of Science
Author:
Μαραγκός Νικόλαος
Supervisors info:
Ευάγγελος Ράπτης Καθηγητής ΕΚΠΑ (Επιβλέπων), Διονύσιος Λάππας Αναπλ. Καθηγητής ΕΚΠΑ, Παναγιώτης Σπύρου Αναπλ. Καθηγητής ΕΚΠΑ
Original Title:
Εφαρμογές της Θεωρίας Αριθμών
Translated title:
Number Theory Applications
Summary:
This paper applies to students who want to have some information, not only
consistent with the textbook but also a little beyond that. Also, for some
student it can be a starting point for dealing with "synthetic" exercises.
The present position of Number Theory in schools is limited to the most
mechanical and insipid part of it: Induction, the identity of division plus at
some extent divisibility. This paper aims to help some people, along their
courses to make one entrance to this extraordinary human intellectual creation,
the Number Theory, whose teaching has main objective the performance of
students in “proof process”.
The paper consists of two parts: The first part introduces the main concepts
and basic Theorems of number theory and consists of 14 chapters. The second
part contains some applications of number theory and consists of 10 chapters.
Keywords:
Number Theory, Greatest Common Factor, Prime Numbers, Modular Arithmetic, Diophantine Equations
