1. A simple proof of the Fundamental Theorem of Algebra Creator: Výborný, Rudolf Format: bez média and svazek Type: model:article and TEXT Subject: fundamental theorem of algebra and mean value property Language: English Description: In the paper an elementary and simple proof of the Fundamental Theorem of Algebra is given. Rights: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
2. Kurzweil’s PU integral as the Lebesgue integral Creator: Výborný, Rudolf Format: bez média and svazek Type: model:article and TEXT Subject: Kurzweil’s PU integral, Lebesgue integral, and McShane integral Language: English Description: For a merely continuous partition of unity the PU integral is the Lebesgue integral. Rights: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
3. Maple tools for the Kurzweil integral Creator: Adams, Peter and Výborný, Rudolf Format: bez média and svazek Type: model:article and TEXT Subject: Kurzweil’s integral, fine partition, and Riemann sum Language: English Description: Riemann sums based on δ-fine partitions are illustrated with a Maple procedure. Rights: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
4. The Weierstrass theorem on polynomial approximation Creator: Výborný, Rudolf Format: bez média and svazek Type: model:article and TEXT Subject: approximation by polynomials Language: English Description: In the paper a simple proof of the Weierstrass approximation theorem on a function continuous on a compact interval of the real line is given. The proof is elementary in the sense that it does not use uniform continuity. Rights: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public