The xisaab weyn Eyler Leonard: guulaha xisaabta, qaar ka mid ah xaqiiqooyinka xiiso leh, Biography kooban

Leonhard Euler - xisaab Swiss iyo jirka, mid ka mid ah aasaasayaasha xisaabta saafi ah. Wuxuu ma aha oo kaliya ka dhigay a darsaday asaasiga ah iyo koboca in joomateri, kalkulas, makaanikada iyo aragtida ah ee tirada, laakiin sidoo kale waxay horumariyeen hababka xallinta dhibaatooyinka ee xiddigaha dheehidda oo codsatay xisaabta injineerinka iyo hawlaha guud.

Euler (xisaab): Biography gaaban

Leonhard Euler waxa uu ku dhashay April 15, 1707 Waxa ay ahayd Paulus Euler iyo Margaret Brooker curadkiisii. aabbahay wuxuu ka yimid xagga nooc ka mid ah kuwa is-hoosaysiiya of saanacyadii, iyo awoowayaasha Margaret Brooker lahaa tiro ka mid ah cilmibaadhe oo si fiican u yaqaan. Paulus Euler adeegi jiray vicar waqti ee Church of St. Jakob in. Sida fiqi ah, Leonard aabihiis uu xiiseynayo in xisaabta, iyo in labada sano ee hore ee waxbarasho ee jaamacadda ka qeyb galay kooxihii caanka Yakoba Bernulli. Ka dib markii ku saabsan sanad iyo badh ka dib dhalashada wiilkooda, qoyska u dhaqaaqay duleedka Riehen, Basel meesha Paulus Euler noqday wadaad ee kaniisadda degaanka. Waxaa uu si daacad ah oo u adeegi jiray ilaa dhimashadiisii.

qoyska ku noolaa xaaladaha ay hawadu ku, gaar ahaan dhalashada ilmaha iyada labaad, Anna-Maria ka dib, in 1708. Lamaanahan ayaa jiri doona laba carruur badan - Maria Magdalena iyo Johann Heinrich.

The casharada ugu horeysay ee xisaabta, Leonard helay guriga aabbihiis ka. Qiyaastii da'da sideed uu u soo diray inuu dugsiga Laatiin ee Basel, halkaas oo uu ku noolaa guriga ayeeyadii hooyada. Si aad u buuxin karaan tayada liidata ee waxbarashada dugsiga wakhtigaas, aabbahay kiraystay macalin gaar ah, fiqi yar oo la odhan jiray Johannes Burckhardt, lover ah dareen xisaabta.

Bishii Oktoobar 1720 at da'da 13 sano, Leonard galay Jaamacadda Basel ee Kuliyada Philosophy (dhacdo caadi ah waqtiga), halkaas oo uu ka qeyb galay fasalada hordhaca ah ee xisaabta dugsiga hoose Ioganna Bernulli, walaalka ka yar marxuumka waqti reer Yacquub.

Young Euler si doondoono kor u qaadatay waxbarashada uu, kaas oo ugu dhakhsaha badan soo jiidatay dareenka of macallinka, kuwaas oo isaga lagu dhiirigelinayaa in ay bartaan buugaagta dheeraad ah oo adag ee isaga u gaar ah, oo xataa ku bixiyeen si ay u caawiyaan in waxbarashada ay maalinta Sabtida. In 1723, Leonard dhameystirtay waxbarasho la shahaadada Masterka iyo samatabbixiyey muxaadaro dadweynaha ee Latin, taas oo marka la barbar dhigo Descartes nidaamka la falsafada dabiiciga ah ee Newton.

Ka dib markii rabitaanka waalidkiis, wuxuu ka diiwaangashan Kuliyada fiqi ah, ku laysaan, si kastaba ha ahaatee, inta badan oo ka mid ah xisaabta waqtiga. Ugu dambayntii, ay u badan tahay ee ku adkeysaneyso ee Ioganna Bernulli aabbihiis ayuu ka qaaday oo uu ina siiyey inuu ku sameeyo ujeedada cilmi ah, oo aan mustaqbalkiisa fiqi ahaaneed.

In 19 sano, Euler ee xisaab dhicin inay la saynisyahano top of markii ugu tartamaan, ka qeyb qaadanaya tartanka xalka of Academy Paris ee Sciences on meelaynta isitcmaalo ay daqal markabka. Halkaa marka ay marayso in uu lahaa marnaba in aan arkay Markabka nolosha, abaalmarinta ugu horeysay ee aan ku guuleystay, laakiin ku guuleystay meel qiimaha labaad. In sano ah marka waxaa jiray banaan ee Department of Physics at the University of Basel, Leonard, oo taageero ka uu mentor Ioganna Bernulli, ayuu wuxuu goostay inuu dagaalamo boos uu ka, laakiin badiyay sababta oo ah da'da iyo la'aanta liiska cajiib ah publications. In dareenka uu ahaa nasiib maxaa yeelay, wuxuu ahaa awoodaan in ay la aqbalo martiqaad ee Academy St. Petersburg ee Sciences, aasaasay dhawr sano ka hor by Tsar Peter aan, halkaas oo Euler helay beer ka rajo, oo waxay isagii u sahlay in ay yeeshaan si buuxda. Doorka ugu muhiimsan ee lagu ciyaaray by Bernoulli iyo labadiisii wiilba, Daniel Nicklaus II iyo waxaan, kuwaas oo si firfircoon uga shaqeeya waxaa halkaas.

St. Petersburg (1727-1741): kaca meteoric

Euler qaatay jiilaalka ee 1726 ee Basel, waxbarashada anatomy oo jirka loogu diyaar fulinta waajibaadkooda filayaa at akadeemiga. Markii uu soo gaaray magaalada St. Petersburg iyo shaqeeyay associate ah, waxaa caddaatay inuu isaga qudhiisu sooco in cilmiga xisaabta. Intaa waxaa dheer, by Euler waxaa looga baahan yahay inay ka qayb qaataan go'aan-imtixaanada ee Corps arday ah, iyo in ay talo Dowladda oo ku saabsan arrimaha sayniska iyo farsamada kala duwan.

Leonard si fudud dabaqaa xaaladaha adag ee nolosha cusub ee waqooyiga Yurub. Si ka duwan inta badan xubnaha kale ee ajnabiga ah ee akadeemiga, ayuu isla markiiba bilaabay in uu barto luqada Ruush iyo waxa si deg deg ah oo ku qoran afka iyo addoonsada. Markii uu la Daniel Bernoulli noolaa oo ahaa saaxiibada la Christian Goldbach, Xoghayaha Joogtada ah ee Academy ah, maanta loo yaqaan ay dhibaato weli ma xallin ah, sida uu sheegay oo wax xitaa tirada ka 4, matali karaan by wadarta labada primes. warqadihiisa The ballaaran u dhaxeeya waa il muhiim u ah taariikhda sayniska ee qarnigii XVIII ah.

Leonhard Euler, guusha ee xisaabta oo dhakhso leh u keeneen warkiisiina wuxuu gaadhay dunida oo dhan iyo sara kiciyey inuu xaaladda, qabtay ee Academy of sano ay ugu wax soo saar.

Bishii Janaayo 1734, wuxuu guursaday Katarine Gzel, gabadhii artist ee Swiss, kaas oo baray la Euler, oo waxay u guurtay gurigooda. Guurka ayaa yimid Iftiin 13 carruur ah, kuwaas oo, si kastaba ha ahaatee, keliya shan gaadhay qaangaarnimada. Oo ahaa curadkii, Johann Albrecht, ayaa sidoo kale noqday xisaabyahan ah, iyo ka dib ka caawiyay aabbihiis in uu shaqada.

Euler lama tudhay galnaa. In 1735 wuxuu noqday si xun u xanuunsan oo dhimashuu ku dhowaaday. Si aad gargaarka u weyn oo dhan, wuuna bogsaday, laakiin saddexdii sano ee dib u xanuunsato ka dib. Wakhtigan, cudurka ayaa isaga ku kici ishiisa midig, taas oo si cad u arki karo oo dhan Wehbe ah aqoonyahaniinta ka wakhtigaas.

xasillooni darrada siyaasadeed ee Russia, kaas oo ka dhacay dhimashadii Queen Anna Ivanovna ka dib, Euler qasbay inuu ka tago St. Petersburg. Gaar ahaan tan iyo markii uu lahaa martiqaad ka Prussian King Friedrich II inuu yimaado Berlin iyo si ay u caawiyaan waxaa la abuuro Academy of Sciences.

Bishii June 1741, Leonard iyo xaaskiisa Katarina, 6-sano jir ah Johann Albrecht oo a year-old Carl eryay ka St. Petersburg in ay Berlin.

Jobs ee Berlin (1741-1766)

Ololaha millatari ee Silesia Frederick II ayaa dib loo dhigay qorshe abuuritaanka akadeemiga. Oo kaliya ee 1746 waxaa ugu dambeyntii waxaa la aasaasay. Waxa uu noqday Madaxweynihii Pierre-lui Moro de Maupertuis iyo Euler ayaa loo magacaabay agaasimaha Waaxda Xisaabta. Laakiin ka hor in, isagu ma uu sii aan waxtar lahayn. Leonard qoray oo ku saabsan 20 articles sayniska, 5 treatises waaweyn oo ka dhigay in ka badan 200 oo warqado.

In kasta oo xaqiiqda ah in Euler sameeyaa waajibaadka badan - mas'uul ka fiirinta iyo jardiinooyin botanical, xaliyaan shaqaalaha iyo arrimaha maaliyadda ku lug leh iibinta insaykalobeedhiya, dhismaha isha ugu muhiimsan ee dakhliga ee Academy ah, in aan ku xuso mashaariicda tiknoolaji iyo injineernimada kala duwan, ay qaab xisaabeed kama beddelayso.

Sidoo kale, waxaa aan aad u wareeri by fadeexadii of eegidda helitaanka of mabda'a ah ficil yaraan, taas oo ka qarxay ee 1750s hore, ayaa sheegtay in ay Maupertuis in loolan cilmiga Swiss iyo academician cusub ee la doortay Johann Samuel Koenig, kala hadal uu xusuusanayaa Leibniz qoray in xisaab Yacquub Hermann. Koenig ayaa ku dhawaa inuu Maupertuis eedeeyay Qishka. Markii la weydiiyey in ay soo saaraan uu warqadda ku, ayuu ma uu samayn karin, iyo Euler ayaa loo xil saaray in ay baaritaan ku kiiska. Iyadoo aan lahayn naxariis, waayo, falsafadda ah Leibniz, uu madaxyo simanna leh madaxweynaha iyo ku eedeeyay König musuqmaasuq. dhibic karaya ayaa la gaaray markii Voltaire, kuwaas oo qaatay dhinaca Koenig qoray korhin kala sooc lahayn, lampooned Maupertuis iyo Euler tudhin. Madaxweynaha waxa uu ahaa sidaas uga caroodeen in uu wax yar ka tagay Berlin, Euler iyo lahaayeen in ay ka qabtaan, Qolyihii madax akadeemiga.

saynisyahan qoyska

Leonard noqday sidaas qani ah in uu ka iibsaday estate ee Charlottenburg, xaafadaha galbeedka Berlin ee, weyn oo ku filan si loo hubiyo in joogis raaxo leh hooyadiis armalooyinka ah, kuwaas oo keenay Berlin ee 1750, nus-walaashiis iyo carruurta oo dhan.

In 1754, ku dhashay koowaad uu Johann Albrecht soo jeediyo Maupertuis at da'da 20-ka sano oo loo doortay Academy Berlin ah. In 1762, uu shaqada on perturbations ah Galaatiya ah ururta, jiid ah meerayaasha waxaa la guddoonsiiyey abaalmarinta ee St. Petersburg Academy ah, oo uu la wadaago iyadoo Alexis-Klod Klero. ina labaad Euler ee, Carl, bartay daawada ee Halle, iyo kii saddexaad, Christoph, ayaa noqday mid sirkaal ah. Gabadhiisa Charlotte guursaday aristocrat Holland iyo walaasheed iyada ka weyn Helena ee 1777 - sarkaal Ruush.

King intrigues

saynisyahan Xiriirka Frederick II ma ay fududahay. Tani waa qayb ahaan shuruud farqiga weyn ee mabda'ooda shakhsiyeed iyo falsafada Frederick -, conversationalist ah is-kalsooni, xarrago leh iyo digtoonaan ku faanayaa, jaceeyl ah wax Nuurin la'aantiis Faransiis ah; xisaabyahan Euler - Protestant suubban, caqli, cammuud ah oo cibaado leh. , Sabab kale oo laga yaabaa in ka badan oo muhiim ahaa xanaaq ee Leonard in uu marna u bixiyeen post ee Madaxweynaha Academy Berlin ah. xanaaq Tani ayaa koray oo kaliya ka dib bixitaankii ay Maupertuis iyo dadaalka Euler ee in ay sii hay'adda sabbaynaya, marka Frederick isku dayeen in ay xiiso kursiga madaxtinimada Jean d'Alembert Leron. Arintaan, dhab ahaantii, in Berlin yimid, laakiin kaliya in la sheego King ee ku saabsan fasirtaan iyo Share Leonard. Friedrich ayaa la iska indho ma aha oo kaliya talo ah ee D'Alembert, laakiin dhankiisa tilmaamay in uu ku dhawaaqay madaxa akadeemiyada. Tani, oo ay la socdaan Guuldarrooyin badan oo kale Boqorka, in dhamaadka, waxay keentay in xaqiiqda ah in Biography ka mid ah xisaab Euler dib u dhigay jeedo af badan.

In 1766, in kasta oo ay caqabado ku saabsan qayb ka mid ah Boqortooyada, uu ka tagay Berlin. Leonard ayaa aqbalay martiqaad ee Catherine II inuu ku soo laabto St. Petersburg, halkaas oo uu si rasmi ah dib ugu soo dhaweeyey.

Mar kale, St. Petersburg (1766-1783)

Qadarin iyo jeclaa ee akadeemiga at barxadda Catherine xisaab weyn Euler shaqeeyay post aad u qiimaha badan oo ahaa wax raadayn kara taas oo uu diiday, waayo, sidaas dheer ee Berlin. Dhab ahaantii, wuxuu kaalin ka mid ah hoggaamiyaha ruuxiga ah, haddii aan madaxa akadeemiyada. Nasiib darro, si kastaba ha ahaatee, caafimaad ma uu wax walba ka tegey oo si fiican. cataract isha bidix, oo wuxuu bilaabay inuu ku dhibin ee Berlin ayaa waxaa uu noqday ka sii daran, iyo in 1771 Euler go'aansaday on qaliin. Its natiijo ahaa formation of malax ah, taas oo ku dhowaad si buuxda u halaagnay tusay.

Later isla sannadkaa, inta lagu guda jiro dab weyn ee St. Petersburg, gurigiisa alwaax ka qarxay, iyo ku dhowaad oo indha la 'Euler laga yaabaa in aan la gubay nool oo kaliya mahad gurmadka geesinimada ah ee Peter Grimm, farsamada ka Basel. Si loo yareeyo murugo, Empress ayaa loogu talagalay dhismaha guri cusub lacagaha loo qoondeeyay.

dhabar jab kale oo culus oo Tumeeya Euler ee 1773 markii uu naagtiisa ka dhintay. 3 sano ka dib, ma aha in ay ku xiran tahay carruurtooda, wuxuu guursaday mar labaad on walaasheedii badh, Saloome Abiigayil Gsell, (1723-1794).

In kasta oo kuwan oo dhan dhacdooyinka dhimasho, ka xisaab Leonhard Euler waxaa u huray in sayniska. Indeed, oo ku saabsan nus ka mid ah uu shaqada waxaa la daabacay ama uu ku dhashay ee St. Petersburg. ka mid ah laba ka mid ah "loo iibsado" - ". Algebra" "Waraaqaha in Princess a Jarmal" iyo Dabcan, isagu ma uu samayn karin oo aan xoghayaha wanaagsan iyo taageero farsamo in uu bixiyo, iyo waxyaabo kale, Nicklaus buunbuuninayo, isku wadanka yihiin ka mid ah Basel iyo ninkeeda mustaqbalka ee maayso ee Euler. qayb firfircoon ee geedi socodka of wiilkiisa Johann Albrecht qaadashada. Arintaan ayaa sidoo kale u dhaqmeen sida a fadhiyada Academy stenographer kaas oo cilmiga ah, sida xubin buuxda ka ugu wayni, lahaa in guddoomin.

dhimashada

xisaabyahan weyn Leonhard Euler u dhintay stroke ah 18 September 1783 halka uu awow la ciyaaro. Oo maalintii dhimashada laba waaweyn oo kamma laga helay qaaciidooyinka in lagu qeexo duulimaadka buufin, kaamil ah June 5, 1783 ee Paris, walaalaha Montgolfier. Fikradda waxaa la soo saaray, wuxuuna u darbay daabacid by Johann ina. Waxay ahayd ee la soo dhaafay si ay u noqdaan cilmiga ah, oo lagu daabacay 1784 mugga Memoires. Leonhard Euler iyo tabarucaadka uu xisaabta ahaa sidaas u weyn in socodka articles sugaya markooda ee joornaalada tacliimeed, ayaa daabacay muddo 50 sano ah dhimashada saynisyahan ka dib.

hawlaha cilmiga ah ee Basel

muddo gaaban Basel Euler qayb xisaabta gudahood ahaa fududahay gooladaha isochronous iyo is, iyo sidoo kale shaqada on abaalmarinta tartanka of Academy Paris. Laakiin dhibaatada ugu weyn ee marxaladan ahaa Dissertatio Physica de sono, gudbiyay oo lagu taageerayo magacaabista in kursiga of physics ee jaamacadda Basel, on dabeecadda iyo qaybinta dhawaaqa, gaar ahaan, xawaaraha codka iyo qarniga alaabtii muusikada.

The muddo horeysay St. Petersburg

Inkastoo dhibaatooyin caafimaad oo la kulmay by Euler, horumarka ee xisaabta, cilmiga laakiin ma keeni kartaa lama filaan ah. Inta lagu jiro wakhtigan, marka lagu daro shuqullada aasaasiga ah ee makaanikada, aragtida of music, iyo sidoo kale naqshadda dhismaha ciidamada badda, uu ku qoran 70 articles ku saabsan mawduucyo kala duwan ka falanqaynta xisaabta iyo tirada aragti dhibaatooyinka qaaska ah ee physics, makaanikada iyo xiddigaha.

Laba mugagga "farsamo" waxay ahayd bilowgii qorshe xeel dheer ee dib u eegis dhamaystiran oo ah dhammaan dhinacyada farsamo, oo ay ku jiraan Farsamoyaqaan maydadka adag, dabacsan oo laastikada, iyo sidoo kale cabitaanno iyo makaanikada samadu.

Sida laga arki karo ka note-buugaagta Euler, weli in Basel, wuxuu u maleeyey in wax badan oo ku saabsan music iyo Halabuurka muusikada oo waxaa qorsheyneysa in ay qoraan buug. Qorshayaashaasi inay qaan St. Petersburg iyo siiyey kor u qaada shaqada Tentamen, lagu daabacay 1739. wax soo saarka wuxuu ku bilaabmaa wada hadal ah nooca dhawaaqa sida gariirka qayb hawada, ay ka mid yihiin qaybinta ay, jirka iyo dareenka maqalka qarnigan dhawaaqa by string iyo dabayl alaabtii.

muhimka ah ee shaqada waxay ahayd aragti raaxaysi sababa music in Euler abuuray by dejinta ee bareeg codadka, chords ama isku xigxiga ee qiimaha tirsi, ilaa xad ah ee dhismaha "nimco" dhismeedka muusikada: hoose ee heerka, weyn ka ahaanshaha. shaqada la dhameeyo ee macnaha guud ee ah qoraaga jecel dabeecad chromatic diatonic, laakiin sidoo kale ku siin aragti dhameystiran xisaabeed ee dabeecado (labada gaboobay iyo casriga). Euler ma ahaa qofka kaliya ee isku dayay in ay soo jeedin music galay sayniska sax ah: Descartes, Mersenne, oo wuxuu sameeyey wax la mid ah isaga u, sida D'Alembert, iyo qaar badan oo isaga ka dib.

Labada-mugga Scientia Navalis - marxaladda labaad ee dhinaca horumarinta ee makaanikada buuxa. Buuggu wuxuu qeexayaa mabaadi'da iyo yeesho aragti hoganaya hydrostatic of gariirka iyo meydadka saddex dhinac-cabbir ah in ay yihiin dadka Hawiyaha ah ee biyaha. Shaqada waxaa ku qoran bilowga makaanikada ee adkaha ah, taasi oo markii dambe crystallizes kitaabkii Theoria Motus corporum solidorum seu rigidorum, khuseeya waaweyn saddexaad on farsamo. mugga labaad ee aragtida ah khusaysaa maraakiibta, Dhismaha maraakiibta iyo navigation.

Cajiib ah, Leonhard Euler, guusha xisaabta taas oo in muddo this ayaa cajiib ah, lahaa waqti iyo adkeysi u qoro shaqo ah 300-page on xisaabta hoose si loogu isticmaalo dugsiyada sare ee St. Petersburg. Sidee nasiib kuwa caruurta waxaa la baraa aqoonyahan weyn!

Berlin shaqada

Intaa waxaa dheer in ay 280 articles, kuwaas oo qaar badan ahaayeen kuwo aad u muhiim ah in muddo this xisaab ah Leonard Euler abuuray taxane ah oo treatises sayniska durkiya.

Dhibaatada of brachistochrone - helo habab taas oo farta ku dhaqaaqdo mass by gravity hal dhibic in diyaarad vertical in kale in wakhtiga ugu gaaban - tusaale ahaan hore ee dhibaato ay abuureen shaqo Johann Bernoulli search (ama qalooca), taas oo optimizes muujinta gorfaynta ku xiran shaqada. In 1744-m, ka dibna 1766-m Euler idiina badan oo dhibaatadan iyadoo la abuurayo laan cusub oo xisaabta - "kalkulas oo kala duwan".

Laba khuseeya yar ku trajectories ee meerayaasha iyo ururta, iyo optics, u muuqday oo ku saabsan 1744 iyo 1746 sano. Arintaan waa oo xiiso taariikhiga ah, tan iyo markii ay bilaabeen wada hadal ah oo ku saabsan qayb ka Newtonian iyo aragti la ruxruxo iftiinka Euler ah.

In qaddarinta uu u shaqayso, King Frederick II, Leonard jeestay shaqada muhiimka ah ee ballistics England Benjamin Robins, inkastoo uu si cadaalad daro dhaleeceeyay uu "farsamo" in 1736 uu intaa ku daray, si kastaba ha ahaatee, comments aad u badan, qoraalada sharaxaadda iyo sixitaanka, iyadoo ay sabab u buugga "Artillery" (1745) by mugga waa 5 jeer ka badan asalka ah.

Labada-mugga "Hordhaca falanqaynta infinitesimal" (1748), falanqaynta boos Euler xisaab sida anshaxa madax banaan, koobayaa uu daahfurtay in badan duurka ku ah taxane aan la koobi karayn, waxyaabaha aan la koobi karayn iyo jajabka sii. Horumarineyso hawl aragti cad oo qiimaha dhabta ah iyo kakan oo ku nuuxnuuxsaday doorka aasaasiga ah ee falanqaynta of e tirada, jibbaaranaha iyo hawlaha logardam ah. mugga labaad waxaa ka go'an in geometry gorfaynta: aragti of gooladaha aljabrada iyo sagxadaha.

"Kalkulas kala" sidoo kale wuxuu ka kooban yahay laba qaybood, kuwii hore ka mid ah oo u hibeeyeen ilaa ay xisaabinta kala duwan iyo Farqiga calaamadaha, iyo tan labaad - aragtida ah ee taxanaha awood formula summation iyo tiro badan oo ah tusaalayaal. Halkan, kadis ah, ku jira daabacan ugu horeeyay ee taxane Fourier.

The saddex-mugga "kalkulas qayb" xisaab Euler ka fiirsaneysa quadrature (E. m. Siyaalaha sawirqaadida) hawlaha hoose iyo technology inay geeyaan isla'egyada kala duwan toosan, sharaxaad faahfaahsan ee aragtida ah ee isla'egyada kala duwan toosan amarka labaad.

sano ee Berlin oo dhan, iyo ka dib Leonard bartay optics joomatari. Isaga oo articles iyo buugaag ku saabsan mowduuca, oo ay ku jiraan taariikhi saddex-mugga "Dioptrics" lacag dhan ilaa toddoba muda ah Opera Omnia. theme dhexe ee shaqada oo intaasu waxay ahayd si loo hagaajiyo alaabta indhaha sida telescopes iyo microscopes, sida ay u xaliyaan Jecaylkaas ku chromatic iyo spherical marayo nidaam adag ee lenses iyo buuxiyo dheecaanka.

Euler (xisaab): Facts Interesting oo ka mid ah xilliga labaad ee St. Petersburg

Waxaa ay ahayd markii ugu wax soo saar leh, inta lagu guda jiro kaas oo cilmiga ayaa daabacay in ka badan 400 oo waraaqaha ku saabsan mawduucyo hore u soo sheegnay, iyo sidoo kale joomateri, aragtida ixtimaalka iyo tirakoobka, khariidaynta, iyo xataa lacagta hawlgabka la siiyo Haweenka iyo beeraha. Of iyaga waxa loo qaybin karaa saddex treatises on algebra, aragtida ah oo ka mid ah Moon iyo sayniska badda, iyo sidoo kale on aragtida ah nambarada, falsafada dabiiciga ah iyo dioptrics.

Halkan yimid kale oo uu "iibsado" - "Algebra." Name xisaab Euler qurxin this shaqo 500-page, kaas oo la la ujeeddada edbinta ku qoran waa in la baro bilow ah buuxda. Waxa uu loo Yeedhiyaa kitaabkii buu u dhiibay arday dhallinyarada, kuwaas oo keenay ka Berlin, iyo marka shaqada la dhammeeyey, uu fahamsan yahay oo dhan oo aysan awoodin in ay si fudud u xalliyaan masalooyin aljabrada rogeen isaga.

"Fikradda labaad ee maraakiibta" ayaa sidoo kale waxaa loogu talagalay dadka aan aqoon lahayn ee xisaabta, kuwaas oo - baxriyiintii. Ma aha la yaab leh in shaqada ayaa aad loogu guulaystay in xirfadaha aan caadi ahayn didactic qoraaga mahad. Wasiirka Navy iyo Maaliyadda Faransiis ah Anne-Robert Turgot soo jeediyay in Boqorka Louis XVI ay u baahan yihiin dhammaan ardayda dugsiyada badda iyo madaafiic inaad wax ka barato khuseeya Euler ee. Waxay u badan tahay in mid ka mid ah ardayda ka soo baxay Napoleon Bonaparte. Markaasaa boqorkii wuxuu xitaa bixiyo 1,000 rubles xisaabta ee mudnaan ee republishing shaqada, iyo Catherine Empress ah II, ma doonaya in la siiyo si ay boqorka, ayaa labanlaabmay lacagta, iyo xisaab weyn Leonhard Euler intaa helay 2000 rubles!