Maganin maganin layi

Don ƙirƙirar Gauss, akwai ƙungiya mai haɗaka tsakanin ka'idodi da ƙwarewa, zurfin matsalolin. Gauss ta aiki da wani gagarumin tasiri a kan samuwar aljabara (tabbatarwa daga cikin manyan axioms na kimiyya), da bayani na mikakke lissafai na da ka'idar lambobi (ciki na lissafi surface), ilmin lissafi kimiyyar lissafi (Gaussian manufa), wutar lantarki ka'idar da magnetism, geodesy (don samar da hanyar da karami murabba'ai) da kuma kusan dukkan sassan Astronomy.

"Nazarin arithmetical"

Na farko na irinsa shi ne babban halittar Gauss - "Nazarin ilmin lissafi" (wanda aka buga a 1801), wadda ta kasance kusan dukkanin shekarun rayuwarsa. Hanya na gaba shine sassa masu mahimmanci na ilmin lissafi - ka'idar lambobi da haɓakar lissafi mafi girma, wanda ya haɗa da maganin lissafin layi.

Daga yawan adadin manyan mahimmin sakamako da aka bayar a "Nazarin ilmin lissafi", wajibi ne a lura da cikakkiyar siffar siffofin tsararraki da kuma tabbatarwa ta farko game da ka'idojin karɓa. A ƙarshen rayuwa, Gauss ya ba da cikakkiyar ra'ayi game da daidaitattun sifa, yana nuna ƙungiyarsu da matsalolin gina polygons, riga an tabbatar da su a zamanin d ¯ a game da ikon ginawa ta hanyar kullin kuma yana mulkin polygon na yau da kullum tare da madaidaicin adadin sassan.

Gauss ya nuna duk lambobin da aka gina ta polygon ta hanyar amfani da kwari da mai mulki zai iya zama mai sauƙi. Wadannan su ne ake kira "lambobi biyar na Gaussian guda biyar": uku da biyar, 177 da 200 da ɗari biyu da hamsin da bakwai, da 65237, kuma suna karuwa ta hanyar daban-daban na biyu na lambobin Gaussian. Alal misali, zaka iya gina aminci (3x5x17) tare da taimakon kayan aiki na kayan aiki, an yarda da gon, kuma daidai 7-gon ba zai yiwu ba, tun da adadi ba Gaussian ba ne, yana da lambar da ta saba.

Babban mahimman algebra

Babban ma'anar algebra yana da dangantaka da sunan Gauss, bisa ga yawan adadin polynomial (ainihin kuma hadaddun) iri daya ne (a cikin canji na asali, tushen mahimmanci za'a lissafta sau da dama a matsayin mataki). Tabbas na farko da aka tabbatar da ainihin maganganun gauss algebra an yi a 1799, sannan daga bisani ya gabatar da wasu bayanan ƙarin.

Tsarin lura

Hanyar da ba ta dace ba ga duk ilimin kimiyyar da ake rubutu da irin wannan tsari kamar yadda hanyoyin da Gaussian ke magance tsarin tsarin daidaitawa suna iya samun ƙarin dabi'u mai ma'ana don auna yawan. Musamman gaisuwa ta Gauss ya yi a shekarar 1821. Way karami mota. Masana kimiyya sun kuma kafa harsashin ka'idar kurakurai.

Ma'anar Gauss Nazarin

Kusan komai, kamar yadda yanzu ya fito, babban binciken Karl Gauss bai buga a lokacin rayuwa ba. An tsare su ne bisa ga zane-zane, zane-zane, wanda ya dace da 'yan uwansa. Cibiyar kimiyyar Göttingen ta shiga cikin binciken waɗannan ayyukan, kuma yana yiwuwa a wallafa littattafai goma sha biyu na ayyukan Gauss. Ƙarin fasaha mai ban sha'awa da kuma sanannen "Sakamakon jigilar linzamin kwamfuta" an wallafa shi a ƙarshen, saboda sun samu littafin ba da gangan tare da waɗannan rubutun.

A kimiyya aiki na Charles dangane da warware mikakke lissafai. An aiwatar da ilmin lissafi a cikin sashin kimiyya, an ba shi da wahala ƙwarai. Ya zama dole don yaki don ra'ayoyin, akwai mutane da yawa masu bincike kimiyya waɗanda suka so su zama sananne ga batun mafita na lissafin linzamin.

Nazarin ilimin lissafi yana da babban tasiri a kan ci gaba da zuwan ka'idar lambobi da algebra. Ka'idodin karɓar cin zarafi har yanzu yana cikin ɗaya daga cikin wurare mafi muhimmanci a algebra. Wannan babban masanin kimiyya ba shi da wallafe-wallafen da ake buƙata don aiki a kan waɗannan abubuwa kamar "Nazarin Ƙididdigar", "Matrix Solution ta hanyar Gauss," da kuma "Solving Linear Equations," ya dauki dukan ilmi daga kansa, kamar yadda suke faɗa.