Iingxelo malunga imathematika ye zezibalo enkulu. Iingxelo abantu ezinkulu malunga izibalo

Iingxelo malunga imathematika njenge inzululwazi abstract akubonakali kuphela iincwadi zembali, kodwa kwakhona kwindawo ekhaya, apho kufuneka ukuba babale umlinganiselo. Operations uchaze izinto ngokwemigaqo umthamo nemilo yokuvelisa yonke imihla. Ukususela inani amacephe eswekile, imeko ikofu, phambi kokutsalwa ngqo mboleko wenzala ezithathiweyo.

definition

Iinkcazelo yokuqala kunye neengxelo malunga imathematika zifumaneka sobulumko French Rene Dekarta: "Kufuneka zimanyane phantsi endala, bonke ingqiqo ezaziwayo yemathematika jikelele zonke ufuna ukulungisa, okanye ulinganise yimilinganiso. Kwaye akunamsebenzi nokuba yintoni umlinganiselo liya kuthinjwa ngaphandle, amanani okanye izandi, iinkwenkwezi okanye amanani. "

ESoviet Union ngokwemveli ingqalelo kwingxelo A. N. Kolmogorova: "Kuyinto inzululwazi, apho umlinganiselo oluninzi ngokusondeleyo ukuya imilo kanye ehlabathini. Kodwa kuphela ingcamango lwandiswe kwaye abstract ngokupheleleyo. "

Nikolya Burbaki - iqela oososayensi evela eFransi, owathi wabhala iincwadi eziliqela malunga nenzululwazi yale mihla. Yenza iqela ngo-1935, iingxelo yemathematika ezibe epigraph yokuqala yePhetshana: "Undoqo kwale nzululwazi mkhulu kubizwa ngokuba imfundiso igalelo sites zomnye. Ezinye iimpawu zezinto ukuze ingayi kwazeka, kodwa kufuneka abalwe kusetyenziswa iimpawu ezaziwayo-kakuhle, esisiseko. Oku isethi lweepateni abstract. "

German Veyl Akuthandabuzeki ukuba kunokwenzeka ukunika inkcazelo ecacileyo lemathematika: "Ngenxa imibuzo kuqwalaselwa evulekileyo. Kunzima ukucinga ukuba ngokuhamba kwexesha siya kufumana inkcazelo yemathematika, owamkelekileyo kumntu wonke. Ukusukela ukuba oku kungenzeka kungekhona inzululwazi, kunye nemisebenzi yokuyila, efana umculo okanye yokuba. "

Quotes malunga Science

Iingxelo malunga imathematika enkulu zezibalo kunye nezicatshulwa emfutshane elide ukubuza imibuzo ngaphezu ebaphendula:

• "Yinto sisixhobo yonke sisazinzulu njengoko kuphungula ukuba ugqirha" (Abheli).
• "Kwi emhlabeni, kukho ubuhle kuphela ubuhle eziphambili - zenze imilo ifanelekileyo - na olinganise efanelekileyo, umyinge eyenziwe amanani Isiphumo :. Beauty - eli nani" (A. Augustin).
• "Ukusetyenziswa ezingundoqo zemathematika kuba nje oqhelekileyo - kukuba kunzima" (Alexandrov).
• "Le inzululwazi ngokutyumzayo kunye nokucacisa. Ngokubhekiselele yokuziphatha, kokuba kube nokuqwalaselwa inyaniso ecacileyo akayithandi le inkungu" (wo-).
• "Mathematics - na isakhiwo lwaza isiprofeto lokwenyaniso" (wo-).

Iimpazamo kunye miscalculations

Iingxelo malunga zezibalo zemathematika enkulu ziyakhunjuzwa ukuba isayensi ishenxisa amathuba iimpazamo kuso nasiphi na isigaba umsebenzi:

• "Mathematics ongabunyamezeliyo iimpazamo," (E. Bell).
• "Apha akukho" "isigama" Kucacile (E. Bell).
• "AmaGrike amandulo athi" Mathematics "yaye kwakuthetha 'njengobungqina'" (Bourbaki).
• "NgokoMthetho ezintlanu - indawo-engile, umzimba, umgca kunye umphezulu -. Kukuba yemathematika, kodwa ithemba lamagcisa kugqitywe la magama" (L. Da Vinci).
• "Imposiso imathematika kuxabisa ubomi, hayi kuphela kumntu omnye, kodwa yonke impucuko" (Bourbaki).
• "Le umgubo Siphuma ingqolowa. Ke amatye usile obuphalazelwe kuzo. Zasyplesh quinoa, isonka akuthethi ukubhaka. Ngoko ke kwimathematika, ukuba wenze impazamo ekuqaleni, izigqibo ekunene abayifumani" (uThomas Huxley).
• "Ukungakwazi kwale nzululwazi ayikho. Ngoko ke ukuba isimo sengqondo nje Ozidelayo ekufundeni '(J. Herbart).

Aphorisms malunga algebra

Iingxelo malunga zezibalo zemathematika mkhulu - ayikho nje ingqiqo ebanzi izibalo, kodwa ugxininiso emxinwa kwi-aljebra, geometry yemvelo:

• "Algebra - ungaphezu ngenzululwazi, yinto yindlela ukuthetha malunga nenzululwazi" (Niels Bohr).
• "Akunakugxininiswa ukusebenza nzima, algebra, wadala for fun and ukunceda abantu" (R. Bringherst).
• "Art - a algebra efihliweyo Isusa lonke ixesha ubomi, enika abo bafuna ukungena iimfihlelo yayo." (E. Bourdelle).
• "Ziqheliseni ozelwe Union algebra, geometry yemvelo" (R. Bacon).
• 'Akunakwenzeka ukuba sizakuqonda algebra, hayi ukuba imbongi "(Weierstrass).
• "Phakathi algebra kunye nenzululwazi kufuneka uzifakelele intsebenziswano ebalulekileyo. Oku kaninzi kubonwa njengendlela yokuziqeqesha exhasa. Kodwa kubalulekile ukuqwalasela imiba enzulu" (Weierstrass).
• "Isigqibo ngeengxaki algebra - iyabuhlutha inqaba utshaba kunye nofakelo kweenqaba lomzi oyisa kwendwe yayo" (N. Vilenkin).

Geometry Ukuqiqa olubonakalayo

Amazwi amadoda amakhulu zemathematika kunye nejiyometri, ungenza ngokwakho okanye funda inyaniso ngamehlo abo.

• "Ukuba ujonga ngokusondeleyo, sonke singqongwe - yinto geometry" (Alexandrov).
• "Ngaba geometry akukho ukuphikisana, imfihlakalo kunye inkathazo?" (EBerkeley, D.).
• "Geometry kunye logic - oko mmangaliso ezimbini Apha zonke iinkcazelo icacile, akukho ephikisana postulates, ingqiqo ecacileyo ukuguqulela kwinkqubo zokwalusa ukuchonga iimpawu mzobo, kwaye inani usoloko phambi kwakho Konke oku kwenza lo mkhwa ukucinga gqolo.." (D. of eBerkeley).
• "Geometry olubuthathaka kwenza ukusetyenziswa engaqhelekanga, amaqhinga luli" (Borel).
• "Thina kwi phantsi kwengqumbo ingcamango lwenzululwazi zamaGrike, siye ndlela Renaissance ngamagorha, kuba impucuko awukwazi ukubakhona ngaphandle geometry" (Weil).
• "Le geometry kubonisa indlela wesiphithiphithi zonke singqongwe" (Wiener).
• "Ihlabathi lethu ukuba geometrically ibalwe" (Wiener).

computing Beauty

Iingxelo malunga zezibalo ezinkulu imathematika uyaqinisekisa ukuba ubuhle amanani kunye namanani kungenziwa xa kuthelekiswa ne-art oyinyaniso:

• "Number - oku imbono yokuqala uyakholiswa ogqibeleleyo -. In ngengqiqo yokuba amanani ezithile samkele ngamathuba rhoqo kwaye ukuvuma ukulalana" (A. Augustin).
• "Intuition uyakwazi imithetho kwi kalukhuni izibalo" (Hadamard).
• "Intelekelelo Inzululwazi abumbe nomlinganiswa kunye ukumazi umntu ukucacisa izimvo ubonise iinyaniso ubhalo" (Alexandrov).
• "Amanani ngalo lonke ulwazi ngokupheleleyo kalukhuni yangaphandle ubushushu lwangaphakathi" (Alexandrov).
• "I Pythagoreans babekholelwa inzululwazi zemathematika zokuqala izinto zonke" (Aristotle).
• "Ekusombululeni ingxaki omnye uhlalutyo isenzo ethile kukwazi ukwakhiwa njengobuchule ngokubanzi eziya kuba luncedo loo msebenzi, apho kukho khona ayaziwa" (M. wezihlangu).
• "Inzululwazi yinkqubo yophuhliso ulwazi yanamhlanje ngamandla ilitye ezingenza abe web yesigcawu xa kwiminyaka embalwa" (E. Bell).

Profession okanye impilo

Iingxelo malunga kwimathematika AV Voloshinova baziqhelanise us nenzululwazi enkulu. Vumela ukuwubona njengento yinxalenye yobomi bethu;

• "Mathematics uya kusoloko kuba yinkosikazi zonke iinkalo kunye iinkalo. Ukusulungeka kwemathematika akanawo eziphezulu, oko ayiphele ndawo. Oku kuthetha unxulumano esithungelanayo ubugcisa kunye nekhompyutha. "
• "Oku inzululwazi computer kuphela umnakekeli bezinto kuphuhliso yayo. Le ipropati yenza kube ezinamandla. Namhlanje, wonke umntu kungekho buhlobo kwimathematika, uyazi ukuba umkhosi omkhulu, ogama impembelelo akukho imida. "
• "Le ngxelo eyinyaniso imathematika ukufikelela kuphela abo ngokwenene uthando kunye nenzululwazi."
• "Onentsingiselo inkqubo isicelo kwemathematika kubugcisa afumaneka umculo, kuquka imisebenzi kaPythagoras kunye nabalandeli bakhe."
• "IMathematika ezintle ngokwayo, kodwa xa uzisa le ubuhle kuphuhliso impucuko, oko ke ukufuna ukuphelela."

Iingxelo kaPythagoras malunga imathematika njengendlela inzululwazi yaqala

Intetho ethi kakhulu ezaziwayo-kakuhle ezingenamandla ze kaPythagoras iyalila isilogeni ngenxa abalandeli, "Akukho nani."

amanye amazwi akhe, bulumko ngakumbi, angacaciswa nantoni na:

• "Yenza into enkulu, kodwa musa akathembisi ufeze enkulu."
• "Ukuze ukwazi imithetho yemathematika zama kuqala ukufunda ulwimi amanani."
• "Hlola konke oko uyabona, nokuba ingqondo yakho kwindawo yokuqala."

Iingxelo Lomonosov ngayo kwimathematika

Isazinzulu Russian uMikhail Vasilyevich akazange kuphela umphengululi enkulu, wafunda onke amasebe zenzululwazi, ukusuka chemistry kwisihobe. Le ngxelo kakhulu ecatshulwe malunga University zezibalo ezi zilandelayo: "IMathematika kuyimfuneko ukwazi ngoko kuphela ukuba waye ngokomyalelo lumenza ubukrelekrele."

Kwakhona, iYunivesithi zingafumaneka iingxelo kwi amacandelo ezithile:

• "Geometry - ukumkanikazi lonke uphando uDuma le."
• "Chemistry kuba izandla physics namehlo -. Imathematika ngokwalo"
• "Yamachiza Blind ngaphandle kwesayensi computing".
• "Yonk 'into eye ethandabuzekayo zenzululwazi ezifana aerometry, hydraulics kunye ngokukhanya, ubalo zemathematika ukwenza kucace, ezicacileyo, athembekileyo."

buphumelele

Iingxelo malunga kwimathematika zezibalo ezinkulu ngokufuthi khangela ngathi ngamazwi nehlekisayo. Abanye bayakwazi ukuqonda abantu kuphela uyazi, kodwa kukho kuchaphulo olu ezifumaneka kuwo wonke:

• "Ezinye izinto kunye nezinto ekunokuthiwa ngendlela efanayo ngenxa izibalo kunye neefomula" (Poincare).
• "Umntu akazazi iziseko nenzululwazi amanani, ngeke siphumelele na imeko" (R. Bacon).
• "Mathematics - kukufunda neefomula ezahlukeneyo kunye nabo, kodwa akukho isiqulatho" (Hilbert).
• "Ukuba akukho namnye unako ukungqina theorem, ibizwa ngokuba saziwe" (Euclid).
• "IMathematika konke! Nje ukuba into abaludingayo ngoku" (Albert Einstein).

Amazwi aguqulelwe kids

Iingxelo malunga zemathematika abantwana sikhumbule eziminini zam esikolweni, xa phantsi Scientist umfanekiso ngamnye wacaphula iingcinga zakhe sengqondo kwinzululwazi:

• "Akuphelelanga abe nengqondo gaze, kufuneka ufumane ukusetyenziswa ngokuba" (Descartes).
• "Eyona nto inzima ukwazi ukuzenza" (Felas).
• "Ngaphambi kokuba siwuqwalasele le ngxaki, kufuneka ufundisise imigaqo nemiqathango" (Hadamard).

quotes of the enkulu

Iingxelo ze oosonzululwazi kwimathematika nenzululwazi ngo-jikelele zibonakalise kwakhona ukuba ngaphandle zakuqala ulwazi olusisiseko ehlabathini namhlanje nje ayikwazi ukukwenza:

• "Kuzo zonke inzululwazi Ungafumana ipesenti inyaniso equlathwe Science Computing" (kant).
• "Mathematicians zifana abavela. Bathi into, ngoko nangoko kuguqula ngolwimi lwabo, kwaye vice versa, sifumana okwahlukileyo" (Goethe).
• "Computing Imithetho lwayamene ndikhulile, ayinakuthenjwa. Kwaye ke imithetho kakhulu linokuthenjwa abstract" (Albert Einstein).
• "Ukususela ngelo xesha, njengoko imfundiso ka waba ubalo kwimathematika, andiluqondi sele" (Albert Einstein).

Iingxelo abantu ezinkulu malunga kwimathematika akusoloko okucengacengayo. Kodwa kufuneka sivume ukuba ngaphandle inzululwazi amanani, impucuko yethu ayisekho.