Academic Year 2023-2024

ARITHMETIC

Teachers

Pietro De Poi
Course Year
1
Unit Credits
6
Teaching Period
First Period
Course Type
Basic
Prerequisites. None.
Teaching Methods. Lectures and exercises.
Verification of Learning. Oral and written examination.
More Information. Oral examination by appointment also. The course could be held in English, upon proposal of the competent teaching structure.
Objectives
Ability to use common mathematical language; to be able to write down a rigorous proof.

To know the fundamental properties of integer numbers and polynomials.

Contents
Elementary set theory. Principle of induction. Permutations. Integer numbers, unique factorization. Congruences. Polynomials and unique factorization of polynomials.Numerical sets: rationals, reals and quaternions.
Texts
D. Dikranjan, M.S. Lucido – Aritmetica e Algebra. Liguori Editore.

J. Kramer and A.-M. v. Pippich: From natural numbers to quaternions. Springer Undergraduate Mathematics Series. Springer International Publishing, pp. x+285, 2017.

Lecture Notes provided by the teacher.