"In the theory of ordinary, partial, and stochastic differential equations, function spaces, functional and numerical analysis, logic and theoretical computer science, members of the Institute have reached a high international level and some of them belong to the top in their fields. This is manifested by numerous publications in prestigious journals and participation in international cooperation."@en . . . . "real analysis; functional analysis; mathematical analysis; numerical analysis; theory of differential equations; differential geometry; topology; mathematical statistics; mathematical logic; complexity theory; applications of mathematics"@en . . . "Basic research and further development of the knowledge basis in real and functional analysis, numerical and probabilistic analysis, theory of ordinary and partial differential equations, differential geometry, topology mathematical logic, complexity theory, and their applications. A special attention is paid to the general development that is necessary for a full and complex progress in mathematical cognition. The cultivation of a single branch of mathematics cannot guarantee harmonic development of mathematics as a science entity. Some of the specific research topics are stimulated by advances in physics and technology and reasearch results will be presented as application output. The other topics are focused on the inner needs of the complex development of mathematics as an integral science discipline."@en . . "2005-01-01+01:00"^^ . . . "1311"^^ . "Research and development of general mathematical knowledge and its application to other branches of science and practice"@en . . "0"^^ . . . "2011-12-06+01:00"^^ . "2011-12-31+01:00"^^ . "1"^^ . . . "2012-07-03+02:00"^^ . . . "1311"^^ . "Z\u00E1kladn\u00ED v\u00FDzkum a dal\u0161\u00ED rozv\u00EDjen\u00ED poznatkov\u00E9 b\u00E1ze v re\u00E1ln\u00E9 a funkcion\u00E1ln\u00ED anal\u00FDze, numerick\u00E9 a pravd\u011Bpodobnostn\u00ED anal\u00FDze, v teorii oby\u010Dejn\u00FDch a parci\u00E1ln\u00EDch diferenci\u00E1ln\u00EDch rovnic, diferenci\u00E1ln\u00ED geometrii, topologii, matematick\u00E9 logice, teorii slo\u017Eitosti a aplikac\u00EDch poznatk\u016F z t\u011Bchto oblast\u00ED. Zvl\u00E1\u0161tn\u00ED pozornost je v\u011Bnov\u00E1na gener\u00E1ln\u00EDmu rozvoji, kter\u00FD je nezbytn\u00FD pro \u00FApln\u00FD a komplexn\u00ED pokrok v matematick\u00E9m pozn\u00E1n\u00ED. P\u011Bstov\u00E1n\u00ED jedn\u00E9 ojedin\u011Bl\u00E9 matematick\u00E9 discipl\u00EDny nem\u016F\u017Ee zaru\u010Dit harmonick\u00FD rozvoj matematiky jako celistv\u00E9ho v\u011Bdn\u00EDho oboru. N\u011Bkter\u00E1 z konkr\u00E9tn\u00EDch badatelsk\u00FDch t\u00E9mat jsou stimulov\u00E1na p\u0159\u00EDmo pokrokem fyziky a techniky a v\u00FDsledky v\u00FDzkumu budou prezentov\u00E1ny jako aplika\u010Dn\u00ED v\u00FDstupy. Ostatn\u00ED t\u00E9mata jsou zam\u011B\u0159ena na vnit\u0159n\u00ED pot\u0159eby komplexn\u00EDho rozvoje matematiky jako integr\u00E1ln\u00EDho v\u011Bdn\u00EDho oboru." . "Rozvoj a prohlouben\u00ED obecn\u00FDch matematick\u00FDch poznatk\u016F a jejich u\u017Eit\u00ED v dal\u0161\u00EDch v\u011Bdn\u00EDch oborech a v praxi" . . "0"^^ . . "V teorii oby\u010Dejn\u00FDch, parci\u00E1ln\u00EDch a stochastick\u00FDch diferenci\u00E1ln\u00EDch rovnic, prostor\u016F funkc\u00ED, funkcion\u00E1ln\u00ED i numerick\u00E9 anal\u00FDze, logice a teoretick\u00E9 informatice prok\u00E1zali pracovn\u00EDci \u00FAstavu vysokou mezin\u00E1rodn\u00ED \u00FArove\u0148 a n\u011Bkte\u0159\u00ED dokonce pat\u0159\u00ED ke sv\u011Btov\u00E9 \u0161pi\u010Dce. Sv\u011Bd\u010D\u00ED o tom i zna\u010Dn\u00FD po\u010Det publikac\u00ED v p\u0159edn\u00EDch odborn\u00FDch \u010Dasopisech a v\u00FDrazn\u00FD pod\u00EDl mezin\u00E1rodn\u00ED spolupr\u00E1ce."@cs .