The numerical spaces (sentences, konvergence, complete spaces, open and concludet interval (spaces), continuous mapping, compactness). Vector spaces and the linear operators (basic, dimension, the normed space, space with the scalar product. The linear operators as well vectors. Matrix and representation of linear operators with help of matrix, norm of matrix, principle of fix point. Mistakes at numerical calculation (mistakes of arithmetical operations, rounding, approach with help probability. Solutions to equations (diference, linear diference equations, iterations method, Newton's Method of bisector). System of linear equations, Gauss-elimination, L-V break up, Gauss-Jordan elimination. Methods of iteration, inverse matrix. Aproximation and interpolation. Method of least squares, the orthogonal system of functions. Lagrange, Newton and Hermite polynoms, mistakes of interpolation. Equidistant progression of nodes. Splayns and numerical derivation, the numerical integration; Methods of Newton-Cotes, method of trapezoid, formula of Simpson. The Fourier transformation and their numerical ways. The numerical solving of diferential equations, formulation of problems, method of gradual approximation, Euler's method, method of Runge-Kutta, convergency of one node methods). Frontier property. Sets and binar relation (function, tolerance, equivalence, characteristics). The algebraic structures (semigroups and monoids, isomorphism, homomorphism of polygroups, groups, circle, universal algebras). Units (ordering, joint, break, distributive units, booleas algebra, logic, algebras of logic nets).
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Rektorys, K. a kol. Přehled užité matematiky. Praha: Prometheus, 2000.
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Schwarz, Š. Základy náuky o riešení rovnic. Praha: NČSAV, 1958.
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Vitásek, E. Numerické metody. Praha, SNTL, 1987.
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