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Waves, Wavelets and Fractals > 2017 > 3 > 1 > 84-95

Waves, Wavelets and Fractals > 2017 > 3 > 1 > 75-83

Waves, Wavelets and Fractals > 2017 > 3 > 1 > 48-60

The Samuel Dickstein's price is awarded for outstanding achievements in the field of mathematical education, popularization and history of mathematics. It was established in 1978 and the first one recognized by it was Stefan Straszewicz. In 2016, the Samuel Dicstein main PTM award was honored with Professor Lech Maligranda from the Technical University of Lule {\ aa} (Sweden) for outstanding achievements...

Recognising and understanding the difficulties, which students show at different levels of teaching mathematics, can result in increased effectiveness of teaching. In this article, difficulties of students from the second to the fifth grade of primary school are analysed, revealed while they were solving tasks regarding differential comparison. Those difficulties, seemingly related to a relatively...

The aim of this article is to contribute with findings concerning students’ ways of experiencing general mathematical structures and, in particular, relationships in additive structures.When students discern relationships in additive structures, it may lead to positive consequences for students’ future ability to perform calculations in addition and subtraction tasks. In the study, semi-structured...

In the paper, we present Helena Rasiowa's scientific personality emphasizing the period WWII and beginning of her professional activity after 1945.

This article is devoted to the Seminar on Applied Mathematics, conducted in 1948-1960 by Professor Hugo Steinhaus in Wroclaw. It is based on the protocols of this Seminar so far not discussed anywhere. Many facts related to Professor Hugo Steinhaus can be found easily in the literature, also in the diary of the professor \emph{Mathematician for all seasons--recollections and notes.} (2016). Steinhaus...

The paper deals with the history of Polish mathematical societies since 1917, when the Mathematical Society in Lvov was founded. In the second half of the 19th century there appeared first national mathematical societies in Russia, France, United Kindom, Italy, United States, Germany. In Poland, partitioned then by neighbour powers (Russia, Prussia, Austria) whose policy was to deny Polish national...

We present a subsequent volume, 12 (2018), of the Series VI of Roczniki Polskiego Towarzystwa Matematycznego – “Antiquitates Mathematicae”, a journal devoted to history of mathematics. In it, we offer 10 articles (6 in English, 4 in Polish), a profile of Professor Lech Maligranda-the recipient of the Samuel Dickstein Main Prize of the Polish Mathematical Society for the year 2016, as well as a report...

In this note, results of the Conference ”Poděbrady 2018” are discussed.

Waves, Wavelets and Fractals > 2017 > 3 > 1 > 84-95

In this paper we study infinite graph-directed iterated function systems on compact metric spaces given by contractive ‘infinitesimal similitudes’. We derive formula for the Hausdorff dimension of the ‘invariant set’ for such a system in terms of the spectral radii of the naturally associated family of the ‘Perron- Frobenius operators’. The results in this paper generalizes the results obtained in...

Waves, Wavelets and Fractals > 2017 > 3 > 1 > 75-83

The motivation of this paper is to study the fourth order Emden-Fowler equations with initial values by Haarwavelet collocation method(HWCM). In this methodology, differential equations are transformed into a system of linear or nonlinear equations that leads to the value of Haar coefficients and later the solution can be obtained on the entire domain (0, 1]. The fourth order nonlinear test examples...

Waves, Wavelets and Fractals > 2017 > 3 > 1 > 48-60

In this paper, we first discuss some properties of SKC mappings in the context of Busemann spaces and obtain a demiclosedness principle.We then prove the existence and approximation results for SKC mappings in a uniformly convex Busemann space. At the end, we give a numerical example in support of our main result. This example also shows that our iterative process is faster than some well-known iterative...