Kuthetsa liniya maikwezhoni

Creative Gauss achilendo kucheza organic pakati pa masamu ongolankhula ndi zothandiza, kuya kwa mavuto. ntchito Gauss anali akuthandiza kwambiri pa mapangidwe ajebura (kutsimikizira kwa axioms chachikulu cha sayansi), njira ya maikwezhoni liniya cha chiphunzitso cha manambala (mkati zojambula padziko), sayansi masamu (ya Gauss mfundo), chiphunzitso magetsi ndi nyese, geodesy (kupereka njira mabwalo ang'onoang'ono) ndipo pafupifupi zigawo zonse zakuthambo.

"Masamu kafukufuku"

The choyamba cha mtundu wake mu chilengedwe lalikulu la Gauss - "masamu kafukufuku" (lofalitsidwa mu 1801), umene unatha pafupifupi zaka za moyo wake. Zotsatirazi mapangidwe - zigawo yaikulu ya masamu - chiwerengero chiphunzitso ndi masamu apamwamba, zimene zinaphatikizapo njira ya maikwezhoni liniya.

Za kuchuluka kwa zomwe zakambidwa yaing'ono ndi yaikulu kutchulidwa "Kafukufuku masamu", tisaiwale mfundo zonse mitundu quadratic, ndi umboni woyamba wa chilamulo quadratic reciprocity. Kumapeto kwa moyo wake Gauss zimachititsa bwalo changwiro cha mfundo yolekanitsa maikwezhoni, kusonyeza kugwirizana ndi ntchito ya nyumba polygons kale kuwonedwa mu nthawi zakale, luso yomanga kampasi ndi straightedge polygon okhulupirika ndi chiwerengero cholondola cha mbali.

Gauss anasonyeza manambala onse amene yomanga polygon woona ntchito mkulu ndi kampasi akhoza kukhala wophweka. Izi otchedwa "isanu ya Gauss yachibadwa manambala" zitatu ndi zisanu, khumi ndi zisanu ndi ziwiri, ndi mazana awiri mphambu makumi asanu ndi aŵiri ndi 65.237, ndipo ngakhale nachuluka pamisinkhu yosiyanasiyana integers awiri ya Gauss. Mwachitsanzo, kumanga ndi thandizo la zida okhulupirika ofesi (3h5h17) - gon amaloledwa ndi lolondola 7-gon n'zosatheka, popeza chithunzi si ya Gauss, ili nambala mwachizolowezi.

Home ajebura axiom

Ndi dzina la Gauss akadali adalumikiza nkhani ya axiom chachikulu cha masamu ameneŵa, malinga angapo a mizu ya polenomiyo ndi (weniweni ndi zovuta) ali yemweyo (ndi mizu n'zosangalatsa kumva kusandutsa zovuta muzu adzatengedwa nkhani zina zambiri monga mbali yake). chitsimikiziro loyamba la axioms waukulu ajebura Gauss anachita mu 1799, ndipo kenako kupereka koma kuchuluka kwa umboni.

processing wa kuzipenya

Kusagwiritsa zomveka kuti sayansi zonse zochita ndi dongosolo chotero, ngati njira zothetsera machitidwe a maikwezhoni, mwakuchita Gauss timatha kupeza mfundo zambiri angathe miyezo ya. Makamaka anthu ambiri zinapangidwa ndi Gauss mu 1821. njira ya mabwalo osachepera. Asayansi kuikidwa ndi kuyikapo chiphunzitso cha zolakwa.

Tanthauzo la maphunziro Gauss

Pafupifupi onse a iwo tsopano, phunziro lalikulu la Carl Gauss sanali kufalitsa pa moyo wake. Iwo anasunga mu mawonekedwe a zina zachidule, essays, zomwe zinalembedwa ndi comrades wake. deta phunziro ankachita nawo ntchito za Göttingen asayansi, zimene zinathandiza kufalitsa mabuku khumi a ntchito za Gauss. More zosangalatsa ndi otchuka ntchito "Kuthetsa liniya maikwezhoni" lofalitsidwa m'ma mwangozi anapeza zolemba zake ndi zochitika.

The ntchito sayansi Charles zochokera kuthetsa maikwezhoni liniya. masamu Akutsatira wakhala akuyendera kwathunthu mu gawo m'munsi mwa sayansi, kunapatsidwa Movutikira. Maganizo anayenera idzachitikira, panali maphunziro ambiri amene ankafuna kuti tisangalale ndi mutu njira ya maikwezhoni liniya.

kuphunzira masamu inakhudza kwambiri pa mapangidwe adziwitse chiphunzitso nambala ajebura. malamulo Reciprocity ndi lero zatenga kwambiri pa masamu ameneŵa. wasayansi wamkulu uyu sanali mabuku, m'pofunika ntchito pa chuma monga "Kafukufuku masamu", "chisankho masanjidwewo ndi Gauss" ndi "njira ya maikwezhoni liniya", chidziwitso chonse anatenga, monga iwo amati, mu mutu wanga.