Thesis (Selection of subject)Thesis (Selection of subject)(version: 290)
Assignment details
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Problémy elementární integrace
Thesis title in Czech: Problémy elementární integrace
Thesis title in English: Elementary primitives to elementary functions
Key words: elementární integrace, Liouvilleova věta pro elementární funkci, Čebyševova věta
English key words: elementary integration, Liouville's theorem for elementary function, Chebyshev's theorem
Academic year of topic announcement: 2010/2011
Type of assignment: Bachelor's thesis
Thesis language: čeština
Department: Department of Mathematical Analysis (32-KMA)
Supervisor: doc. RNDr. Mirko Rokyta, CSc.
Author: hidden - assigned and confirmed by the Study Dept.
Date of registration: 04.09.2010
Date of assignment: 22.10.2010
Date and time of defence: 22.06.2011 00:00
Date of electronic submission:25.05.2011
Date of submission of printed version:26.05.2011
Date of proceeded defence: 22.06.2011
Reviewers: prof. RNDr. Jaroslav Lukeš, DrSc.
 
 
 
Guidelines
Student se seznámí s větami Liouvilleova typu, které popisují třídy elementárních funkcí, majících elementární primitivní funkci, a kompilačním způsobem zpracuje toto téma s použitím literatury.
References
R.H.Risch: The problem of integration in finite terms, Trans. Amer. Math. Soc. 139 (1969), 167-189
M. Rosenlicht: Liouville's theorem on functions with elementary integrals, Pacific J. Math. 24 (1968), 153-161
Preliminary scope of work
Funkce exp(-x^2) a sin(x)/x nemaji elementarni primitivni funkci. Proc? A ktere dalsi elementarni funkce maji tuto vlastnost?
Preliminary scope of work in English
The aim is to study elementary functions not having elementary primitive, as sin(x)/x or exp(-x^2).
 
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