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57<br />

mebs, maTematikis ganviTarebis istoriul kanonzomierebebsa<br />

da am disciplinis filosofiur<br />

aspeqtebs.Ggarda amisa, naCvenebia maTematikis mWidro<br />

kavSirebi sxva Teoriul an praqtikul dargebTan,<br />

ganxilulia diskretuli da uwyveti<br />

maTematikis Sinagani urTierTkavSirebi, maTi<br />

roli Semecnebis zogad procesSi. ama Tu im maTematikuri<br />

sakiTxis ganxilvisas gansakuTrebuli<br />

yuradReba eTmoba geometriul, algebrul, kombinatorul<br />

da abstraqtul simravlur-Teoriul<br />

meTodebs, aqsiomatur midgomasa da logikur<br />

analizs. warmodgenilia iseTi Temebi, rogoricaa:<br />

mravalganzomilebiani evkliduri da konformuli<br />

geometriis zogierTi Rrma faqti; gardaqmnaTa<br />

jgufebis invariantebi; uZrav wertilTa meTodis<br />

ZiriTadi aspeqtebi; beris fundamenturi debuleba<br />

simravleTa kategoriis Sesaxeb; giodelis cnobili<br />

Teoremebi formaluri ariTmetikis arasisrulis<br />

Sesaxeb da pirveli rigis logikis sisrulis<br />

Sesaxeb; ramseis kombinatoruli Teoriis<br />

sawyisebi; eiler-puankares formula da misi<br />

mravalricxovani gamoyenebebi.<br />

statiebi<br />

1) `evkliduri sibrtyis kongruentuli wrewirebiT<br />

zogierTi dafarvis Sesaxeb~ (TanaavtorobiT;<br />

American Mathematical Monthly, #5, 2010, 414-423,<br />

inglisur enaze).<br />

ganxilulia evkliduri geometriis zogierTi<br />

kombinatoruli da simravlur-Teoriuli aspeqti.<br />

yoveli naturaluri k ricxvisaTvis Semotanilia<br />

k-erTgvarovani dafarvis cneba da Seswavlilia<br />

erTgvarovani dafarvebis geometriuli Tvisebebi.<br />

kerZod, naCvenebia, rom roca k aranulovani luwi

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