"894"^^ . . . "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 . . "0"^^ . "2005-06-17+02:00"^^ . . . "894"^^ . . . . "1"^^ . "0"^^ . . . . "Development of the knowledge basis in real and functional analysis, mathematical and numerical analysis, theory of ordinary and partial differential equations, differential geometry, topology, mathematical statistics, mathematical logic and complexity theory. A special regard is devoted to the general and complex development that only can guarantee a full and general progress in mathematical cognition. The cultivation of a single mathematical branch cannot play a positive role in the development of mathematics as a science entity. Some of the specific research topics are stimulated by the progress of investigation in physics and technology and will be directly presented as application outputs. The other topics are concentrated to inner needs of the complex development of mathematics as an integral science discipline.Research topics in mathematics are continually initiated by progress of investigations in physics, science, technology, and social sciences."@en . "Komplexn\u00ED rozvoj matematick\u00FDch discipl\u00EDn s d\u016Frazem na pot\u0159eby fyziky a technick\u00FDch obor\u016F" . "1"^^ . . . "Rozv\u00EDjen\u00ED poznatkov\u00E9 b\u00E1ze v re\u00E1ln\u00E9 a funkcion\u00E1ln\u00ED anal\u00FDze, matematick\u00E9 a numerick\u00E9 anal\u00FDze, v teorii oby\u010Dejn\u00FDch a parci\u00E1ln\u00EDch diferenci\u00E1ln\u00EDch rovnic, diferenci\u00E1ln\u00ED geometrii, topologii, statistick\u00E9 anal\u00FDze, matematick\u00E9 logice a teorii slo\u017Eitosti. D\u016Fraz je kladen na komplexnost rozvoje, kter\u00E1 jedin\u00E1 zaru\u010Duje \u00FApln\u00FD a v\u0161estrann\u00FD pokrok v matematick\u00E9m pozn\u00E1n\u00ED. P\u011Bstov\u00E1n\u00ED jedn\u00E9 matematick\u00E9 discipl\u00EDny nem\u016F\u017Ee samo o sob\u011B b\u00FDt p\u0159\u00EDnosem pro matematiku jako celek. \u0158ada konkr\u00E9tn\u00EDch badatelsk\u00FDch t\u00E9mat je iniciov\u00E1na postupem v\u00FDzkumu ve fyzice a technick\u00FDch v\u011Bd\u00E1ch a p\u0159\u00EDmo se odraz\u00ED 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. Badatelsk\u00E1 t\u00E9mata v matematice jsou neust\u00E1le nov\u011B iniciov\u00E1na pokrokem zkoum\u00E1n\u00ED ve fyzice, p\u0159\u00EDrodn\u00EDch v\u011Bd\u00E1ch, technice a spole\u010Densk\u00FDch v\u011Bd\u00E1ch." . "1"^^ . . . . "The results obtained influenced significantly the progress of cognition both in individual mathematical disciplines and in mathematics as a complex and integral branch of science. Moreover, the results stimulated also research in physics and technology."@en . . "Dosa\u017Een\u00E9 v\u00FDsledky v\u00FDznamn\u011B ovlivnily pokrok pozn\u00E1n\u00ED v jednotliv\u00FDch matematick\u00FDch discipl\u00EDn\u00E1ch i v matematice jako integr\u00E1ln\u00EDm celku a sv\u00FDm dopadem p\u0159es\u00E1hly i do fyziky a technick\u00FDch v\u011Bd. Byla d\u016Fsledn\u011B dodr\u017Eena komplexnost v\u00FDzkumu v matematice."@cs . . "Complex development of all branches of mathematics with regard to the needs of physics and technology"@en .