Kuyini wezibalo?

Impendulo isobala yombuzo lokho mathematics, ngisho nanamuhla, namanje ayikho, naphezu kweqiniso lokuthi kule isayensi wazalwa kudala, cishe ekuqaleni impucuko. Phakathi naso sonke isikhathi it is ahlanganiswe, okwandisa ngesikhathi esifanayo futhi isenza yokuvuselela ngokwaso njengoba indlela yokwazi imithetho yezwe.

Ngenxa kwanda ushintsho kwezibopho enezici umkhuba wesayensi yezibalo, isintu unikezwa ithuba eliyingqayizivele ukuthola futhi ukusebenzisa lezo noma ezinye imithetho yemvelo. Ngaleso sikhathi samanje, kuba ngempela enamandla futhi enamandla injini kwezobuchwepheshe nesayensi.

Kuyini wezibalo? Nesithakazelo lokhu eziningi, kodwa impendulo yalo mbuzo akulula. Yiqiniso, wonke umuntu uyakwazi ukunikeza impendulo yalo, okuyinto kuzoncika ezingeni yayo ilwazi leembalo. Ukuze umfundi wasesikoleni esiphakeme yigama abajwayelekile izibalo, algebra, i-geometry futhi ukuqala ukuhlaziya. Ukuze lobuchwepheshe umfundi yaseyunivesithi - Science ehlanganisa eziningi izigaba zomuntu ngamunye.

Kufanele kuqashelwe ukuthi isibalo izigaba ezifana ne isikhathi kwandisa njalo, njengoba, ngokuvumelana ukuthuthukiswa kwabo nesifundo sezibalo zanamuhla njalo ahlanganiswe ulwazi olusha. Nokho, lokhu isayensi yikhono zicatshangelwe ingane encane. Noma kunjalo, ukuphila kwethu konke kuhlangene ngokungenakuhlukaniswa isixazululo yezinkinga ezihlukahlukene zezibalo.

Ngokufanayo ekunqumeni ukuthi izibalo, akukho incazelo ecacile futhi owamukelwa Inhloso yale isayensi. Esikhathini esidlule, kwakunenkolelo yokuthi lezinkinga ezinjalo kuba ukukala nenani noma izinombolo. Kodwa ngemva kwesikhathi esithile kwakunengozi ihlathululo yeembalo imigomo njengoba imfundiso kaZiqu-usayizi elingapheli.

Ezweni lanamuhla uyazicabangela wezibalo njengoba isayensi izakhiwo zezibalo. Leli gama livele iqembu zezibalo isiFulentshi, eyaziwa ngaphansi kwegama Bourbaki emhlabeni.

Lokhu isayensi akuyona ekudalweni ngokungadingekile umcabango. Libonisa emhlabeni mgomo ifomu ezinye abstract. Ucwaningo lwakhe kusekelwe imiqondo isuselwe abstracting emiphumeleni ngqo emhlabeni wangempela futhi, ngaphezu, kusukela ayekhulekela odlule.

Okuvela ayekhulekela ezinjalo buhlobene eduze ngokoqobo. Ngaphezu kwalokho, ngemva ekuxazululeni inkinga zezibalo umphumela iduduzekile, futhi zizosetshenziswa ezihlukahlukene izenzakalo, ngokomzimba uhlobo okuyinto ngokuphongoza nomunye.

Ngokwesibonelo, ucwaningo wezibalo ngokuvamile kunciphisa ukuba kusombulula tinkinga tetibalo ethize: indlela yokuthola izinga ukukhula webhaktheriya nezinguquko barometric ingcindezi noma kanjani ukuthola izinga zokuwohloka enemisebe. Isixazululo yazo zonke lezi zinkinga kuyehla kube okufanayo kwesibalo umehluko.

Abstraction enjalo kunzima hhayi kuphela ukuqonda kodwa futhi ukuzwa umuntu omdala, ingasaphathwa umfundi. Yingakho kubaluleke kangaka ukwenza ucwaningo wezibalo kufinyeleleke kuwo wonke umuntu. Futhi sidinga ukuba silondoloze ukulingana ngokucacile futhi Abstraction, umuzwa kanye rigor ngaphandle kokulahlekelwa kalula echaza complex concepts.

Yiqiniso, namuhla kunzima ukuthola umuntu babengasayikuba umqondo mayelana nokuthi iyiphi wezibalo. Kodwa njengoba umthetho, abantu abaningi ngephutha bakholelwa ukuthi lokhu kwenziwa nje izibalo, kufaka ekutadisheni izinombolo kanye isenzo esithile nabo, ezifana ukubuyabuyelela noma division.

Kodwa uma nawe lokuhlola le isayensi, singabona ukuthi empeleni lo mqondo kuyinto bulkier kakhulu. Phela, isayensi yezibalo kuyindlela uhlobo echaza izwe futhi inhlanganisela ezinye izingxenye zalo nabanye. Ngendlela engokomfanekiso zezibalo achaza yonke, uboniswe ubuhlobo izinombolo.

Kodwa kanjani ukuqonda izibalo? Lokhu inkinga ehlukile. inqubo enjalo kudinga isineke, isifiso kanye focus. Nokho, zonke akunzima kangako. Ngamunye bavame ukwenza kahle ezibalweni ngoba is wafakazela ukuthi "umuzwa" yikhono isegazini.

Awukho umphumela ngekhanda axioms, theorems futhi ngekhanda amafomula, ngeshwa, ngeke. Into esemqoka - ukuba baqonde okushiwo theory zezibalo nemithetho yayo. Futhi ukunakekela okukhethekile kufanele inikwe ikhono bafika eziphethweni nalawo mazwi, okuyinto ekhululwa.