Titlebook: An Excursion through Elementary Mathematics, Volume III; Discrete Mathematics Antonio Caminha Muniz Neto Textbook 2018 Springer Internation

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More Counting Techniques,e number of elements of a finite union of finite sets. The presentation continues with the notion of . for, counting a certain number of configurations in two distinct ways, to infer some hidden result. Then, a brief discussion of equivalence relations and their role in counting problems follows. Am

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Diophantine Equations,characterize all solutions. We also present to the reader the important ., which provides a frequently useful tool for showing that certain diophantine equations do not possess . solutions, in a way to be made precise. The aforementioned method is one of the major legacies of Pierre Simon de Fermat

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Arithmetic Functions,ny arithmetic multiplicative functions we shall encounter here, two deserve all spotlights: the Euler function ., which will reveal itself to be an indispensable tool for basically all further theoretical developments, and the Möbius function ., which is essential to getting the celebrated . and its

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The Relation of Congruence,e famous ., as well as its generalization, due to Euler. The pervasiveness of these two results in elementary Number Theory owes a great deal to the fact that they form the starting point for a systematic study of the behavior of the remainders of powers of a natural number . upon division by a give