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Last update: prof. RNDr. Naďa Vondrová, Ph.D. (08.10.2020)
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Last update: prof. RNDr. Naďa Vondrová, Ph.D. (08.10.2020)
A. KLINE, M. Mathematical Thought from Ancient to Modern Times. Oxford University Press, 1990. GRATTAN-GUINNESS, I. (ed.). The Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences. Routledge, 1994. B. PETERSON, A. a BOHNER, M. Dynamic Equations on Time Scales: An Introduction with Applications, Birkhauser, 2001. CULL, P., FLAHIVE, M. a ROBSON, R. Difference Equations: From Rabbits to Chaos, Springer-Verlag, 2005. C. COXETER, H.S.M. Introduction to Geometry. Wiley, 1989. HILBERT, D. Foundations of Geometry. Open Court, 1999. D. STEWART, I. Galois theory. London: Chapman and Hall, 1989. ALEKSEEV, V. B. Abel’s Theorem in Problems and Solutions. Kluwer, 2004. E. ARNOLD, V. I. Ordinary Differential Equations. Berlin: Springer, 1992. PALIS, J. a de MELO, W. Geometric Theory of Dynamical Systems. Berlin: Springer, 2012. F. PEITGEN, H.-O., JURGENS, H. a SAUPE, D. Chaos and Fractals. Springer, 2004. MANDELBROT, B. Fractal Geometry of Nature. Times Books, 1982. |
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Last update: prof. RNDr. Naďa Vondrová, Ph.D. (08.10.2020)
Examination from the given literature, and/or solutions to assigned problems. |
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Last update: prof. RNDr. Naďa Vondrová, Ph.D. (08.10.2020)
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 |