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

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Complex Numbers,d the flowering of complex function theory. In this respect, a major first crowning was the proof, by Gauss, of the famous ., which asserts that every polynomial function with complex coefficients has a complex root.
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On the Factorisation of Polynomials,similar to the unique factorisation of integers. Our purpose in this chapter is to give precise answers to these questions, which shall encompass polynomials with coefficients in ., for some prime integer ..
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https://doi.org/10.1007/978-3-662-42500-8loping the most elementary algebraic concepts and results on polynomials. To this end, along all that follows we shall write . to denote one of .,. or ., whenever a specific choice of one of these number sets is immaterial.
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https://doi.org/10.1007/978-3-663-08404-4to solve Vandermonde’ linear systems with no Linear Algebra. In turn, the knowledge of the solutions of such linear systems will allow us to study, in Sect. ., an important particular class of linear recurrence relations, thus partially extending the methods of Section 3.2 of [8].
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Polynomials,loping the most elementary algebraic concepts and results on polynomials. To this end, along all that follows we shall write . to denote one of .,. or ., whenever a specific choice of one of these number sets is immaterial.
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Interpolation of Polynomials,to solve Vandermonde’ linear systems with no Linear Algebra. In turn, the knowledge of the solutions of such linear systems will allow us to study, in Sect. ., an important particular class of linear recurrence relations, thus partially extending the methods of Section 3.2 of [8].
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Antonio Caminha Muniz NetoCombines an in-depth overview of the theory with problems presented at several Mathematical Olympiads around the world.Offers a comprehensive course on problem-solving techniques.Presents a coherent d
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Problem Books in Mathematicshttp://image.papertrans.cn/a/image/155002.jpg
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