Titlebook: Exploring, Investigating and Discovering in Mathematics; Vasile Berinde Textbook 2004 Springer Basel AG 2004 Algebra.Applied Mathematics.A

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Exploring, Investigating and Discovering in Mathematics

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atics competitions and training gifted people. It collects many valuable techniques for solving various classes of difficult problems and, simultaneously, offers a comprehensive introduction to cre­ ating new p978-3-7643-7019-0978-3-0348-7889-0

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Textbook 2004students, young mathematicians, and teach­ ers, involved or/and actively working in mathematics competitions and training gifted people. It collects many valuable techniques for solving various classes of difficult problems and, simultaneously, offers a comprehensive introduction to cre­ ating new p

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Existence of Solutions on the Haar Pyramid,gression and is usually denoted by r:Each of the relations (1) and (2) characterizes the arithmetic progression (a.)p>i, which is also denoted by (a.) -. We can write (1) equivalently as which is a linear combination of three consecutive terms of the given arithmetic

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https://doi.org/10.1007/978-3-540-72187-1ications, for students-whose mathematical knowledge is now being formed — problems in this subject can cause many surprises and difficulties, as well as they can be fertile ground for their first investigations.

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A Class of Discontinuous Functions Admitting Primitives,athematics competitions. In addition, several remarks, notes, survey articles or conference presentations were dedicated to the same topic. Therefore it would be quite impossible to have here a complete survey of the material. This is the reason why we limit ourselves to a very narrow class of such problems, already approached in our paper [.].