Pfupiso yaDhiyabhorosi weNumeri

Unoziva here bhuku rinonakidza rine musoro Dhiyabhorosi wenhamba? Usanetseke, muchinyorwa chino tinokuratidza pfupiso, ongororo uye kutsoropodza kwechinyorwa chenyaya iyi yakanaka uye munyori anozivikanwa semurume mukuru, akati bhuku raive bhuku rinotengeswa zvakanyanya muEurope.

Pfupiso-yadhiabhorosi-yenhamba-1

Pfupiso yaDhiyabhorosi weChiverengo

"Digital Demon" (German: = Der Zahlenteufel. Ein Kopfkissenbuchfüralle, akafa Angst vor der Mathematik haben) ibhuku rengano dzevana nevechidiki rinoongorora masvomhu. Inyaya ine mukurumbira, yakanyorwa muchiGerman muna 1997 naHans Magnus Enzensberger (Hans Magnus Enzensberger).

Bhuku iri rinotaura nezvemurume wechidiki ainzi Robert akadzidziswa masvomhu muzviroto gumi nembiri ne “dhimoni remanomano” (rinonzi Teplotaxl).

[su_note]Bhuku pfupiso yaDhiyabhorosi we nhamba yakagamuchirwa zvakanaka navatsoropodzi avo vakaziva tsananguro yayo yemasvomhu ndokurumbidza kupfava kwayo. Kushandiswa kwaro kwakapfuma kwemazwi esvomhu uye kutsanangura kwayo kwekugadzira pfungwa kunoita kuti rive bhuku rinokurudzirwa kuvana nevakuru vanotya masvomhu. Digital Dhiyabhorosi inozivikanwa muEurope uye yakashandurirwa mumitauro yakawanda.[/su_note]

dhiyabhorosi wenhamba pfupiso

With the pfupiso yebhuku dhiyabhorosi wenhamba, vaverengi vanogona kuziva pfungwa huru yenyaya iyi, kuwedzera, kufarira kuwana bhuku uye kuriverenga zvachose.

Mutambi mukuru werungano urwu anonzi Robert, mukomana anovenga masvomhu, nekuti haakwanise kudzinzwisisa uye vakamubereka; uyezve, anofunga kuti imhosva yemudzidzisi wake Mr. Brockel, anotsanangura zvakashata, zvino humwe usiku anorota dhiyabhorosi muduku anonzi Teplotaxl, uyo achamubatsira kunzwisisa masvomhu.

Robert anorota kakapetwa kagumi nembiri aine manhamba, dhiyabhorosi mudiki anoita kuti mwana anzwisise data raasina kumbonzwisisa muhupenyu hwake, anomunyudza munyika ino yenhamba, achimudzidzisa hukuru, fungidziro, nhamba dzisina kunaka, kuverengera midzi, pakati pezvimwe. mabasa.

Teplotaxl, aiona nezvekuita kuti masvomhu akwanise kutakurika, kuburikidza nekudhirowa, nzvimbo, mazwi ari nyore kunzwisisa uye nemusoro, nemitambo yedzidzo. Husiku hwega hwega dhiyabhorosi mudiki aishanda nesimba kudzidzisa Robert masvomhu matsva chokwadi.

Nokuda kwechikonzero ichi, vakava shamwari huru uye akatanga kufarira dhimoni, nokuti raimudzidzisa zvakawanda; Robert akava mumwe wevadzidzi vakanakisisa mukirasi yake. Pakati pezuva raakaongorora kumba uye usiku akamborara akasangana neshamwari yake yakakosha Teplotaxl, husiku hwake hwakaratidzwa semukana wekuwana ruzivo rwakawanda.

El abstract of the devil of the nhamba, kunosanganisira kudzidzisa kukuru, mwana chero upi zvake anoda kudzidza chidzidzo chaanozviona sekuti "akaipa" anogona kudaro, chero bedzi aine chido uye chido.

Pfupiso yebhuku dhiyabhorosi wenhamba nezvitsauko

Pazasi pane a abstract devil of numbers, tichifunga nezvezvitsauko zvinokosha zvikuru zvebhuku racho.

Dhiabhorosi wenhamba pfupiso chitsauko 1 kana husiku hwekutanga

Sehusiku hwese, mukomana Robert anoenda kunorara uye anotanga kurota murume akura uye mudiki kwazvo, anoratidzwa sadhiabhori wenhamba. Mukomana anomuudza zvese zvinomubhowa pamusoro penhamba nemasvomhu, dhiyabhorosi mudiki ndiye ane basa rekuita kuti Robert achinje pfungwa iyoyo ndokumuudza kuti hazvisirizvo zvaanofunga uye kuti haatombodi calculator kugadzirisa matambudziko.

Anotsanangura kuti nhamba 1 chete yakakwana, sezvo inosvika pakusingagumi, mukuwedzera, anomudzidzisa kuti nhamba dzinoberekwa sei kubva ku1, apo Robert anoenderera mberi achiita mabasa ake nekarukureta kuti arege kurasikirwa netsika, iyi Teplotaxl yakakuvadzwa uye anomuudza kuti anogona kushandisa hombe kusvika abhowekana, kadhiyabhorosi kanosvotwa nemutambo waRobert ndokuputikawo. Mukomana anomuka oseka kuti akunda dhiyabhorosi.

Chitsauko 2 kana husiku hwechipiri

Humwe husiku hwekurara kwaRobert, Teplotaxl inooneka zvakare, vese vari vaviri vanoita hurukuro refu, apo dhiyabhorosi mudiki anoti nhamba zero haipo, nekuti iyi ndiyo yakanyanya kutetepa. Anomuudza kuti kuoma kwenhamba dzeRoma kwakakwirira, nokuti havana chinhu ichi.

Dhiabhorosi mudiki ndiye ane basa rekuita tsananguro yakazara yaRobert, yekuwana zero uye zvazvinoreva, sezvo pasina iyo maoparesheni haashande, nenhamba iyi anogona kusvetuka nhamba kana kutsanangura nhamba huru nediki.

Kubva pamafungiro emwana, dhiyabhorosi anogumisa kuti anoda kuona nhamba dzakaputsika, dzinonzwisisika, dzekufungidzira, pakati pezvimwe zviitwa. Robert anovhunduka achibva angomuka.

usiku hwechitatu

In the dhiyabhorosi bhuku pfupiso nhambaChitsauko 3 chakakoshawo zvakanyanya.

Panyaya yekurota uku, nguva inotanga kuti dhiyabhorosi muduku adzidzise Robert kupatsanurana, akanga asina kunyanya kufarira nezvepfungwa, zvisinei, akanga asina imwe sarudzo. Akamupa chokwadi chakakosha pamusoro pekusashandisa nhamba yekutanga kana zero muzvikamu, sezvo mugumisiro waisazova wechokwadi.

Kuitwa kwechiroto ichi kwakavakirwa patafura yaibva panhamba 2 kusvika pa50, kunze kwe1 uye 0; Zviratidzo zvedhiyabhorosi mudiki kwaive kubvisa ese even manhamba aivepo. Iyi ndiyo nzira yaanopedza nayo usiku hwose, achitsanangura zvakadzama nzira dzakasiyana-siyana dzekuparadzanisa.

usiku hwechina

Kurota uku kwakasiyana zvishoma kubva kune zvakapfuura, dhiyabhorosi mudiki anoonekwa aine karukureta inozobatsira Robert nemashandiro, panguva ino vari munharaunda yemahombekombe; dhiyabhorosi anokumbira mwana kuti apatsanure 1 ne3, mhedzisiro yacho 0,333333. Robert avhiringika zvakanyanya nemhedzisiro, anoenderera mberi achiita maekisesaizi achitevera tsananguro yega yega yeTeplotaxl.

Muchikamu chino che Ndinoudza dhiyabhorosi wenhamba, Teplotaxl inomutsanangurira kuti kune nhamba dzinonzi irrational; nemienzaniso iri nyore mune zvakadzama inokudzidzisa chiitwa chega chega kuti unzwisise zviri nani.

usiku hwechishanu

Pausiku uhwu dhiyabhorosi anosarudza kushandisa mamwe makokonati senzira yekutsanangura kuna Robert, uye nokudaro kumudzidzisa kuti nhamba dzetriangular dzinoshanda sei, izvo semuenzaniso 1,3,6,10,15,21, XNUMX, XNUMX, XNUMX, XNUMX, XNUMX ... Uyezve, anomupa matipi ayo Iwe Unogona kudzidza nekukurumidza uye nyore iyi mhando yemasvomhu maekisesaizi.

Zvakare, anoedza kumudzidzisa zvishoma nezvenhamba dzeskweya, asi Robert, atoneta, anomira ofunga kusvetukira mudziva renhamba.

Dhiabhorosi wenhamba chitsauko 6 muchidimbu

Husiku hwechitanhatu ndipo apo dhiabhorosi anoyeuka shamwari huru inonzi Bonatschi, uyo akabata ruzivo uye data pa zero zvakanaka kwazvo. Shamwari iyi yakatanga kudzidzira nenhamba 1, dhiyabhorosi muduku anosarudza kunyora nhamba dzose dzeBonatschi papepa remashiripiti uye risingagumi raaigona kuva naye nguva dzose; Uyewo, kumudzidzisa nzira iyi, anoshandisa wachi, iyo panzvimbo pokutara maawa nemaminitsi, yaiva nemwedzi yegore.

Robert akanzwa kuzarirwa zvikuru ndokuramba akarara asingaroti, kusvikira wachi nearamu zvinomumutsa.

Dhiabhorosi wenhamba muchidimbu nechitsauko, inobetsera varavi vose kuwana mashoko akati pfupikei uye ari nyore kunzwisisa, nenzira iyi vanokurudzirwa uye vanofarira zvikuru nyaya yacho.

Dhiyabhorosi wenhamba mibvunzo nemhinduro

Mibvunzo iri mukati menyaya iyi inopindurwa zvakanyanya neimwe yezviroto idzo Robert ane nyaya yese; the dialito murume mudiki kwazvo ane ruzivo rwakakura uye anoita shuwa kuti mibvunzo yese inopindurwa.

Kupokana

Pakati pe muchidimbu dhiyabhorosi we nhamba, dingindira guru rekurondedzera rinocherechedzwa, zvisinei, gakava harina kusimbiswa zvakadzama, nekuda kweichi chikonzero, muzvinyorwa zvinotevera zvinoburitswa:

Robert ijaya rinonetseka nesvomhu nemhaka yokufinhwa kuchikoro. Akasangana nezviroto zvakadzokororwa, kusanganisira kudonha pasi pasi risingaperi kana kudyiwa nehove huru, asi hope idzi dzakavhiringwa pakati pehusiku nekamhuka kadiki kaizviti "dhimoni redhijitari". Pasinei nenhamba huru yevanhu, Robert akanga asingazivi zita rake chairo Teplotaxl kusvikira panguva iyoyo, uye akanga asingamuzivi nenzira iyoyo. Mukuita kwezviroto gumi nembiri, dhimoni redhijitari rakadzidzisa Robert misimboti yemasvomhu.

[su_box title=”Pfupiso yebhuku dhiyabhorosi wenhamba” radius=”6″][su_youtube url=”https://www.youtube.com/watch?v=ZAvyQ_TMGdk”][/su_box]

Pausiku hwekutanga, dhiyabhorosi akaonekwa munyika huru naRobert uye akamuzivisa kune nhamba 1. Husiku hwakatevera, dhiyabhorosi akaonekwa musango remiti yakagadzirwa ne "iyo", yakatsanangura kudiwa kwenhamba zero, negative. manhamba nezvivere Pahusiku hwechitatu, dhiabhorosi akaenda naRobert mubako ndokumuratidza kuti nhamba dzepamusoro dzinogona kugovaniswa sei ivo pachavo uye mumwe asina anosara. Gare gare, pausiku hwechina, dhiyabhorosi akadzidzisa Robert Turnip imwe nzira yekumiririra masikweya midzi, pamhenderekedzo yegungwa.

Husiku hushoma gare gare, Robert haana kuwana dhiyabhorosi muhope dzake. Kutozosvikira pausiku hwechishanu, Robert akazviwana ava mugwenga. Dhiyabhorosi akamudzidzisa nhamba dzetriangular achishandisa makokonati. Pahusiku hwechitanhatu, dhiabhorosi akadzidzisa Robert iyo Fibonacci kutevedzana kwezvisikwa. Dhiyabhorosi akapfupisa nhamba, akaitumidza nhamba yaBonatschi, uye akaverenga tsuro dzeshava nechena nekuti dzakabereka kakawanda. Nekuda kwehope idzi, amai Robert vakaona kuti aifarira masvomhu ndokubva vatanga kubatwa nehope kuti vasangane nasatani.

Pahusiku hwechinomwe, Robert akawira mukamuri chena isina chinhu, uye dhiabhorosi akamuendesa kuPascal Triangle pateni uye katatu matrix skrini. Pausiku hwechisere, Robert akaendeswa kuchikoro chake. Dhimoni redhijitari rakaunza vaaidzidza navo Robert pamwechete munzira dzakawanda uye vakamudzidzisa nhamba yefactorial.

Neimwe nzira, apo Robert akarota kuti dhiyabhorosi akaoneka padivi pake, akarwara. Izvi zvakadzidzisa Robert nezve manhamba echisikigo, iwo asingaperi akatevedzana. Pakutanga kwehusiku hwegumi, Robert akazviwana ari kuNorth Pole, uko dhiyabhorosi akamuzivisa kunhamba dzisina musoro, pamwe neEuclidean geometry, zvakasiyana-siyana zve vertices (mapoinzi) nemicheto (mitsetse).

Pfupiso-yadhiabhorosi-yenhamba-2

Robert anga atove nechido chechokwadi chesvomhu, asi akakahadzika kutendeka kwadzo, dhimoni rakamupinza kupfungwa yehumbowo hwemasvomhu, uye pakupedzisira dhiyabhorosi akaratidza Robert chinhu chakaoma. Basic arithmetic test. Pausiku hwegumi nembiri, Robert nadhiyabhorosi vakagamuchira kukokwa (zita radhiyabhorosi ndiTeplotaxl) nokuti musangano waDhiyabhorosi naRobert wakapera vakashanyira gehena.

Muparadhiso yedhijitari, Robert anodzidza nhamba dzekufungidzira uye mabhodhoro kubva kuna Klein. Vachifamba nedenga redhijitari, Teplotaxl yakasuma Robert kune akasiyana siyana ane mukurumbira masvomhu akadai saFibonacci, Bertrand Russell kana Gauss. Bhuku rinopera Robert achishandisa ruzivo rwake rwemasvomhu rwuchangobva kuwanikwa mukirasi yake.

Kugamuchira

El pfupiso yaDhiyabhorosi yenhamba yakagamuchira rumbidzo zvikurukuru kubva kuvatsoropodzi. John Allen Paulos, purofesa wemasvomhu paTemple University, akanyora chinyorwa cheThe New York Review of Books uye akarumbidza bhuku racho se, “Iyi ingano yesvomhu inoshamwaridzana nevana. Saizvozvo, Martin Gardner, munyori wemasvomhu weLos Angeles Times, akarumbidza Hans Magnus Enzensberg nekuunza masvomhu “nenzira inonakidza iyi” muongororo muBaltimore Sun. Michael Pakenham anobvuma kureruka kwebhuku, achiti bhuku racho "harinzwisisike. Kwete kweminiti”: Zvisinei, hadzisi ongororo dzese dzakanaka.

[su_note]Nzanga iyi inoshushikana netsanangudzo yakaipa yevadzidzisi vesvomhu ne pfupiso yaDhiyabhorosi we nhamba, tsananguro yake yemasvomhu inzvimbo yemashiripiti pakaitika chiitiko ichi nemamwe matambudziko akati wandei. Ted Dewan akanyorera The Times Educational Supplement ndokuti: "Ndinofungidzira kuti ichi chipo chemutsa chinobva kumunhu mukuru kumwana nekuti chakavanakira."[/su_note]

Mudiwa muverengi, ramba uchinakidzwa nezvinyorwa zvedu nekuverenga: Pfupiso yeMwanasikana weHusiku nezvitsauko.

bhuku wongororo dhiyabhorosi nhamba

Inyaya inokurudzirwa zvikuru, nenzira iyi vana vanofara kudzidza nezvenhamba uye vanokurudzirwa kuva shasha mukirasi yavo, kunyange kana paine mumwe munhu anonzwa kuora mwoyo nemhaka yokuti haanzwisisi chimwe chokwadi chesvomhu, nyaya iyi inogona kuvabatsira. .

Zvakare, ne kuverenga report dhiabhorosi we nhamba, vaverengi vanowana ruzivo rwakawanda rwakakodzera zvose zvekirasi uye kuti vashandise muupenyu hwezuva nezuva, sezvo isu tisingamboregi kushandisa nhamba; izvi zvakakosha munguva yega yega yehupenyu hwedu.


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