Abstract
The chapter is quite detailed and accompanied by many examples in order to provide a precise context of the fundamentals of numerical structures, such as natural, integer, rational and real numbers, the homogeneous quantities, the postulate of Eudoxus-Archimedes. The prime numbers offer the opportunity to introduce some applications, e. g., codes and decoding. The development of the deductive method is presented step by step in its components up to the construction of the theorem and the various techniques of proof: the implication, the logical equivalence, the complete induction, the proof by contradiction.
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Ventre, A.G.S. (2023). Numbers and Propositions. In: Calculus and Linear Algebra. Springer, Cham. https://doi.org/10.1007/978-3-031-20549-1_2
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