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

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Original

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concise

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https://doi.org/10.1007/978-3-662-36878-7ny 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 subsequent application to the Euler function.

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Die Kosten der Pflanzenerziehungteresting applications will be presented, among which is an alternative, simpler proof of Euler’s theorem. We will also introduce the quotient set . and show that it can be furnished with operations of . and . quite similar to those of .. In particular, the case of ., with . prime, will be crucial to our future discussion of polynomials.

Calculus

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https://doi.org/10.1007/978-3-319-77977-5Discrete mathematics; Counting; Polynomials; Graph theory; Problem solving; Mathematics Olympiad; IMO