Nekugadzirisa Linear Equations

Creative Gauss chairwo makemikari nokushamwaridzana pakati yokungotaura uye zvinoshanda svomhu, kudzama matambudziko. basa Gauss aiva chaizvo kwakabatsira paumbwe nemasvomhu (nokusimbisa chikuru axioms ari science), mushonga pakati Linear equations pakati dzidziso nhamba (womukati geometric pamusoro), akarongeka wefizikisi (Gaussian musimboti), magetsi dzidziso uye remagineti geodesy (kupa nzira maduku dzinoungana) uye zvinenge zvikamu zvose zvenyeredzi.

"Svomhu tsvakurudzo"

Pakutanga nerudzi rwayo muna huru pakusikwa Gauss - "svomhu tsvakurudzo" (rakabudiswa muna 1801), iro rwakatora anenge ose oupenyu hwake. Zvichitevera kuumbwa - chikuru zvikamu svomhu - nhamba dzidziso mazhinji masvomhu, chaisanganisira mhinduro kubva Linear equations.

Of vakawandisa diki uye vakakurumbira zvaitika akanyorwa "svomhu tsvakurudzo", zvinofanira kucherechedzwa zvizere pfungwa quadratic siyana, uye uchapupu quadratic reciprocity mutemo wokutanga. Pamugumo hwake Gauss kwezvisingagutsi chakakwana yakaurungana yokuti kupatsanurwa equations, zvichiratidza nokuwadzana kwavo mabasa rokuvaka polygons nekusimba kare muna vekare, mano rokuvaka kambasi uye straightedge vakatendeka polygon pamwe yakarurama nhamba kumativi.

Gauss akaratidza ose nhamba apo pavakwe polygon wechokwadi achishandisa mutongi uye kambasi kunogona nyore. Izvi vanonzi "shanu dzakasiyana Gaussian kuipa nhamba", matatu namashanu, gumi, uye maviri namakumi mashanu nemanomwe uye 65.237, uye kunyange ndikawanza dzakasiyana mumatanho maviri Gaussian integers. Somuenzaniso, kuvaka nerubatsiro vakatendeka hofisi midziyo (3h5h17) - gon anobvumirwa uye yakarurama 7-gon hazvibviri, sezvo nhamba hakusi Gaussian, ine senguva nhamba.

Home nemasvomhu axiom

With zita Gauss achiri zvakabatanidzwa chikuru axiom pakati nemasvomhu, zvichienderana iyo nhamba midzi polynomial (chaiye uye kunzwisisa) ndiro (pamwe kusanganiswa midzi rokuchinja zvakaoma mudzi achabatwa kufungwa nguva vakawanda pachikuva kwayo). First nokusimbisa chikuru axioms zviri nemasvomhu Gauss akaita muna 1799, uye papera akaita mukana asi vamwe mari uchapupu.

kubudiswa zvaakacherechedza

Usava nepfungwa nokuti sayenzi zvose kubata akadaro ezvinhu, sezvo nzira kuti nekugadzirisa mugadziriro equations, yakataurwa Gauss, vanokwanisa kuwana zvakawanda zvinogona tsika kuyerwa. Zvikurukuru kukurumbira kwakapararira chakaitwa Gauss muna 1821. nzira zvinenge dzinoungana. Masayendisiti musana uye kuisa pfungwa zvikanganiso.

Zvinoreva Gauss zveBhaibheri

Zvinenge zvose zvino kunoratidzwa, chidzidzo chikuru Carl Gauss haana kubudisa muupenyu hwake. Vanochengetwa muchimiro yokunyora nokudhirowa, essays, izvo akanga akakopwa mamwe masoja ake. The yokudzidza date akanga achiparidza mabasa Göttingen vezvesayenzi, waitova kubudisa gumi zvemaBhaibheri mabasa Gauss. basa More inonakidza uye yakakurumbira "Kugadzirisa Linear Equations" rakabudiswa ava netsaona akawana dhayari yake zvinyorwa izvi.

Basa nesayenzi Charles kwakavakirwa kugadzirisa Linear equations. Zvakarurama masvomhu kwave chinozoiswa zvakazara pangoro chikamu sainzi, yakapiwa tanetseka chaizvo. Kuti pfungwa aifanira icharwiwa, paiva renyanzvi vakawanda vaida kupemberera musoro mukugadzirisa zviri Linear equations.

Svomhu kudzidza chakandibatsira zvikuru pamusoro kuuya paumbwe nhamba yokuti uye nemasvomhu. Reciprocity mitemo uye nanhasi kugara nzvimbo inokosha nemasvomhu. musayendisiti chikuru ichi haana mabhuku, zvakakodzera kushanda nepfuma akadai "svomhu tsvakurudzo", "Chisarudzo chizvaro ne Gauss" uye "Solution pakati Linear equations", zvose zivo yaakanga atora, sezvo vachiti, kunze musoro wangu.