**Baltic Institute of Mathematics (Poland) in cooperation with the Institute for the Levi-Civita (Italy) in the frame of “XV Summer Diffiety School”**

**Summer Math School for high school students and first-year students of universities**

**16-28 July 2012**

**PPNT, Gdynia (Poland)**

**The program includes:**

**Mini-courses in mathematics and applied academic disciplines**

**The solution of research problems, competitions**

**Lectures by the world leading scientists (in English)**

**Organizing Committee: A.A. Florinsky , V.S. Kalnitsky, M. Sorokina, Y. Smith.**

**Contacts: kalnitsky@baltinmat.eu**

This year the main topic of the school was “Calculus and its application for beginners”

The program of school included 4 lecture curses and seminars.

- “Introduction to the Calculus” by Academician E.V. Scepin. The notion of the number – infinite sets of numbers – Differentiation – Integral. Or iginal approach allows very shortly to get a number of nice theorems and formulas, including the Stirling’s Formula.
- “Applications and generalizations of elementary calculus” by prof. A.A. Florinsky. Examples of applying of analytic methods for proving classical inequalities and their more strong variants. Elements of the complex and multidimensional analysis in comparison with the real analysis.
- “Dynamical system theory ” by prof. S. Kryzhevich. Sharkovsky Theorem. Introduction to the theory of one-dimensional dynamical systems.
- Elements of the neural networks theory” by prof. D.Zuef. Application of analitic theorems and methods for pattern recognition problems. Realization of neural networks for the Microsoft.NET platform.

Special guest of School prof. A.Vinogradov (Institute Levi-Civita, Italy) gave the lecture “Burnside’s Problem”.

List of participants:

- Alexei Frolov (Academician Gymnasium of Saint Petersburg state university, Diploma cum laude)
- Pavel Kravtsov (Academician Gymnasium of Saint Petersburg state university, Diploma cum laude)
- Andrei Travin (Academician Gymnasium of Saint Petersburg state university, Diploma cum laude)
- Pavel Tsishevich (Academician Gymnasium of Saint Petersburg state university, Diploma cum laude)
- Matvey Bebenin (Academician Gymnasium of Saint Petersburg state university)
- Dmitri Chashin (Academician Gymnasium of Saint Petersburg state university)
- Alexandr Goncharov (Laboratory for Continuous Mathematical Education)
- Alexandr Titov (Laboratory for Continuous Mathematical Education)
- Viacheslav Dmitriev (St Petersburg state transport university)