We present some topics with selected basic literature. It will be supplemented according to the agreement between the teacher and the student.
A. Analysis of classical mathematical texts (the student is required to master the mathematical discipline from which the relevant classical text will be selected, to the extent sufficient for understanding and interpretation of the text)
B. Differential calculus and difference equations
C. Axiomatic construction of geometry
D. Galois theory
E. Geometric theory of dynamical systems
F. Fractal geometry
The goal of the course is mastering a certain field of scientific mathematics according to the topic of the PhD student's work. The field is chosen from the offer by the PhD Board and after consultations with the supervisor.
The topic will be the basis for the topic examined in the state doctoral exam.