Ho okumu'epekema

Per Ferma: Kawaihae, kiʻi, discoveries ma makemakika

Per De Fermat - kekahi o nā kānakaʻepekema nui loa i loko o ka mōʻaukala o Farani. Kona piʻi like nā i ka hoʻokumuʻiaʻana o ia mau hana e like me ka pähola 'ana o probabilities a me ka nui, oia no ke kumu o ke kaulana theorems a me discoverer o kekahi mau makemakika waiwai. Mai ka loa'ōpio wale nō i kona mau makua uku nui noonoo i ka hoʻonaʻauao a me ke keiki hoʻoneʻe 'ia paha i ka ua i ka hopena ma luna o ke kahua o ke Kiure naau. Manawa malie a me ka hana mikiʻala, inquisitive a me ka rigorous huli 'ia nā mea i hoʻoholo' a me ka - mea a pau Per Ferma. Pōkole Kawaihae podcherpnut kōkua i ka mea heluhelu e wehe aʻe i ka lealea o keia colossal kanaka o Makemakika.

i kakahiaka nui kahua o ka hoʻonaʻauao

Pierre i hanau ma Farani. He mea kekahi o na paionia 'a me Mamua o ka pähola' ana o ka huina, e like me mākau anahonua.

No ka lōʻihi manawa ka mea, i mai la ia Per Ferma i hānau i loko o 1595 ma Toulouse, akā, ma ka hapalua like-umikumamaiwa kenekulia i loko o ke kūlanakauhale o Beaumont i loko o nā palapala i loaʻa i ka leo i ka i ka mea i olelo mai ia ia ma ke kauwela o 1601, ke kulanakauhale councilor Dominique Fermat a me kana wahine i hanau keiki Pierre. Ua ua ike ia Dominique aina i ka loa hanohano kanaka i loko o ke kūlanakauhale. He ua he kalepa ili. Pierre lilo i kona wā kamaliʻi e kokoke ana i kona mau makua, a me ka wā e ka manawa, e kiʻi i ka hoʻonaʻauao 'ana, hele aku la ia i Toulouse - ka hoʻopuniʻana kulanakauhale me kulanui. Pono aʻo kānāwai ma ka Kulanui o ka Aha haawi Pierre i ka manawa kūpono e hana i ka loio, akā, i ke kanaka opiopio manao, e hele aku i loko o ka hana o ka moku'āina. I ka 1631, ua kohoia Pierre e waiho dala aʻoaʻo i loko o ka hale kanawai o Toulouse. I keia manawa i ka aina i, ua mare i ke kaikamahine a Councilors, i loko o ka mea ana i hana. Kona ola ua nui loa ka maluhia a me ka noho malie. Akā, mahalo ia ia, i kēia lā, kanaka këia makemakika ke aʻo i ka puu o ka hana hoihoi 'ike i mea invaluable. ʻO i loko o ke kula laulā maʻamau 'Imi e kālele ana ma luna o ka theme like "Per Ferma a me kona mau discoveries."

Kuko no ka moʻolelo

I kona wā'ōpiopio, i ka wā e hiki mai mathematician kaulana like me ka oi akamai i loko o ka mōʻaukala (oi kahiko), no kona kōkua i loko o ka puke lolouila Greek Classics. He ua'ōleloʻia ma ka hana o Sinezuga, Athenaeum, Polyunusa, Frontinus, Teona Smirnskogo, i loli ma ke kikokikona o Sextus Empiricus. He nui nā manaʻo i ka mea, ke puana hiki i kona hoailona me he poʻokela Greek ka poʻe puni hoʻonaʻauao.

Eia naʻe, ma muli o ia ka mea i wae iho la oia he okoa alanui, ua ike aku la i ka malamalama o kona, alahula mau i ka nui o? Anoee. A no laila, ka hapanui o kanaka ike i ka Per Ferma - Balanced.

I ka hana o kona ola ia ia la ia meaʻano nui ma nui palapala i Fermat i me nā kānakaʻepekema. I ka ohi ana o na hana, i ka mea i pinepine ae ho'āʻo i ka hana, a me ka ua ole, ua hoʻokō. Pololei olelo ana, i kēia mea he Logical hopena, i ka wa i ka haawe ana ma luna o ka papa kuhikuhi hana i loko o ka pā hale. A lohe o Pierre ola kekahi o ke kaupaona ana o kana mau hana i ua paʻi.

Per Ferma: discoveries ma ka makemakika

Kekahi o na hana mua i loko o ke kula o ka makemakika ma ka Fermat - ka resumption o ka mau-nalowale palapala o Apollonius o nā puke ia "Ma lalo lepo". Pierre weliweli makaʻu no ka 'epekema ka hapanui ike ia i loko o ka hoike ana i ka mākau anahonua o infinitesimals. He i keia anu u loa nui i ka 1629. ¶ A i loko o ka hopena o twenties, Per Ferma loaʻa aoao o ka loaa tangents a me extrema. A mua i ka 1636-ka m loa pau i kekahi hōʻike no ke ano o ka mea i hoʻoholo 'i ua hoololiia i loko o ka lima o ka Mersenne, a me keia kona hiki heluhelu aneane ma ka kekahi.

I ka hakakā me ka Descartes

I 1637-38 makahiki ka Palani mathematician Per Ferma kokololio ano ua kūkākūkāʻia me Descartes like poʻokela mathematician Rene. Ke hakakā ala ae la a puni "hana no ka loaa i kā mākou a me ka palena iki." Descartes i maopopo i ka hana a me ka malama ike ole ia, no ka mea kumu, ua kau akuʻo ia i kona kaulikeʻole noʻonoʻo loi. I ke kauwela o 1638 Per Ferma hoouna Descartes Mersenne e ke hoʻouna i hōʻano hou nei 'a me ka waiwai lāliʻi o ka hōʻike o kāna hana. Ma kana leka lewa i konaʻuʻumi iho i, no ka mea, ua palapala ia ma kekahi ano like maloʻo a me ka malie, akā, i ka mea ia manawa, he mea i kekahi irony. Ma kana leka iloko o ka pono hoomaewaewa ia o ke ahiahi, he misunderstanding o Descartes. Ka aina i ike ole e komo i loko o ka hāwāwā, a me ka noa polemic,ʻo ia mau apo la i ka malimali a me ka anu nanahe. Ua ua i ka hoopaapaa ana, akā, e aho, ua like ia me heʻano o ke kumu me ka haumāna, i mea i kekahi mea i maopopo i ke kamailio ana.

Systematics e huli mau

Mua Pierre Fermat aoao o ka loaa Hoʻonaʻauao i papahana e Italian Cavalieri. Eia naʻe, ma ka 1642 Fermat loaa kekahi ano o ka loaa i ka wahi i i hoopaaia ma kekahi "parabola" a me "hyperbole." He ua hiki ke hooiaio i ka wahi o kaʻaneʻane kekahi kona palena kinona hiki nō i ka finite waiwai.

Kapu rectification curves

Kekahi o ka mea mua i hoomaka ai i ka pilikia o ka Me piʻo ka loa o na curves, e hoʻopaʻa haʻawina. He hoʻokele e lawe mai i ka pāʻoihana i loaa i kekahi ka lewa. No ka ho omaulia i ka wahi e ho'ēmi i nā pilikia ma curves. Ua noho ka kulu i ka mea e komo i ka hou, a oi Hōʻuluʻulu manaʻo o "integral".

I ka wā e hiki mai, i ke ala a hiki i ka maikaʻi hope o ka ho'ākāka 'ana o ka "la" a pau i ka pilina me ke "ano o tangents a me extrema" e loaʻa. Aia ka hōʻike i ka aina i ike i ka maopopo 'ana, akā,ʻaʻohe mea nāna o kana mau hana, aole ia e noonoo i kēia nānaina.

Haʻalele ka hapanui o kona nā hoapili ma luna o ka hihia, Per De Fermat ua he mathematician maemae, a aole ho'āʻo e kaupaona i nā lālā o ka 'epekema. Paha no keia kumu, kona ikaika na makana i ka pau o ka makemakika mea ai hohonu a me ka kiʻekiʻe.

Ma ka pähola 'o ka helu

Ua nui loa na makana mahiʻai i ka makemakika, a hiki i kēia lā ua noʻonoʻo pono i ka mea i hanaia o ka unuhi hou loa no ka hoʻopaʻi '- helu kumumanaʻo. Nä känaka 'epekema ma kona' oihana, ua hoihoi i ka makemakika pilikia i ka mea, i kekahi manawa invented a koho koke ihola nō ia iho. Ma ke kaʻina hana o ka loaa i ka pane i nā nīnau posed i loko o ka pilikia, Fermat pinepine wehe aʻe i kekahi mea pono hou a me ka hanana. New algorithms a me nā kānāwai, theorems a me ka waiwai - a pau i kekahi manawa, i hanaʻia i ke kumu o ka pähola 'ana o ka huina, eʻike i nā schoolboy.

Na makana i na hana o nā haumana

Penei, Per Ferma ike i nā kānāwai o maoli huahelu, a hoonoho iho la ia a mau loa aku. Hana o ka helu maoli i kapaia "theorem o ka makemakika." Kekahi mau kumu hoʻohālike o ke kaulana "iki theorem." A laila Euler ka mea, i mālama ai i ke kuikawa pela no kona hana. Ua ua iʻikeʻia ia mea i ka hana o Pierre Fermat noi kumu o Lagrange ka theorem e pili ana i ka huina o 4 mika pāhoʻonui lua.

Fermat ka hope theorem

O ke ala, ka hapanui o na hana o Pierre ku mai no kona theorem nui a me ka ikaika. He nui na makahiki, e like makahiki, puʻe wale akula kēlā iā "uhai i ke poo" o ka nui mathematicians, a hiki ma hope o ka mea i paʻiʻia ma ka 1995, e hiki mai ana no ka hou a me ka loa kekahi mau ano o ka hooiaio ana i ka 'Oihana a me ka makemakika pāʻewaʻewa ma na kulanui a puni ka honua.

ʻOiai ka aina ua haʻalele nā hōʻuluʻulu manaʻo wale ana o ka lakou mau hana a me ka fragmentary 'ike, i ka mea i haawi ala i ka puka ana o na mea he nui' ē aʻe hoʻokamakama geniuses ma ka makemakika. Ma o kona hanohano, ka mea, i ka inoa o kekahi o ka loa 'ihiʻihi, a kahiko kiʻekiʻe kula ma Farani - Lyceum inoa ma hope o Pierre de Ka Fermat ma Toulouse.

nä känaka 'epekema make

I loko nō o konaʻeleu hana i loko o ka mahinaʻai o makemakika ainaʻano hoʻomaka koke höʻike mai i loko o ka 'aha hoʻokolokolo. I ka 1648, Pierre lilo i lâlâ o ka Hale o edicts. A kiʻekiʻe moʻomanaʻo hoike mai i ka mea kiʻekiʻe kulana o ke nä känaka 'epekema.

Ma Castres, ma ka aina i ka Edict, make ma ka OAAIeOO a hiki i ka aʻe Aha Ahaolelo. Make mai i ka makemakika ma ka makahiki o ka 64 makahiki. Ke makahiapo a ke nä känaka 'epekema i ka makua kāne, e lawe mai i ka hana ana o kanaka, a hua mai la i ka helu o kona noiʻi.

Keia ua Per Ferma. Kona Kawaihae ua, pili, a me ke ola i koe i ka hoailona ma na wa a pau.

Hana o keia kanaka nunui o ka makemakika hiki ole ke overestimated a underestimated, no ka mea, waiho iho la i kekahi paa kumu no na mea he nui noiʻi. Per Ferma, kiʻi (Makuahine) i hāʻawiʻia i loko o ka 'atikala, au i ka ikaika ano, ka mea i kona ola a pau i kokua mai ia ia, e loaʻa ai i kona pahu hopu.

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