Mathematical analysis for computer science 2 06-DANILI2
The aim is to explain basic notions, methods and results of mathematical analysis in particular, numerical integration, approximation of functions, elementary harmonic analysis, differential calculus of many variables, ordinary differential equations including numerical methods of solving such equations and interpolation theory.
It provides students with basic understanding of applications of mathematical analysis in solving problems of "real world" (for instance, technical, in computer graphics, data transmission, physics etc.).
The students should be able to use presented methods of mathematical analysis in practical applications also using numerical tools.
Bibliography
W. Rudin, Principles of mathematical analysis, McGraw-Hill New York 1974 (Ch. VII, VIII, IX)
E. A. Coddington, An introduction to ordinary differential equations, Prentice-Hall, Englewood Cliffs 1961. (Ch. I, II, V: pp. 185-192, 200-227)
E.W. Swokowski, Calculus with analytic geometry, Prindle, Weber, Schmidt, Boston 1979. (Ch. 16 and 19)
T. Apostol, Calculus
R. Plato, Concise Numerical Mathematics, AMS, Providence 2003
M. Braun, Differential Equations and Their Applications, Springer, New York 1975.
D. Estep, Practical analysis in one variable, Springer, New York 2002.
H.Heuser, Lehrbuch der Analysis, B.G. Teubner, Stuttgart 1986.
H. Heuser, Gewohnliche Differentialgleichungen, B. G. Teubner, Stuttgart, 1995.
J. H. Hubbard, B. H. West, Differential Equations: A Dynamical Systems Approach, Ordinary Differential Equations, Springer, New York, 1991
S. Kaufmann, A Crash Course in Mathematica, Birkhauser, Basel 1999.
M. Mesterton-Gibbons, A Concrete Approach to Mathematical Modelling, Wiley, New York 2007.
C. C. Ross, Differential Equations, An introduction with Mathematica, Springer, New York 2004
Additional information
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: