
prayogik ganeet

prayogik ganeet haah ganitacha eka drushtikon aahe jyamadhye gananecha vapar ganiteey vastooncha tapas karnyasathi aanee gunadharm aanee namune olakhanyasathi keela jaato. tyachi vyakhya ashee kelee gelee aahe qee "ganitachi tee shakha jee prayogik (galilean, beconian, aristotelian kinwa kantian arthane) prayogadvare ganiteey samudayatil antardrushtiche sanhitakaran aanee prasaran karnyashi sambandhit aahe, aanee adhik anaupacharik vishvas aanee yaa prayatnat midavalelya mahitiche kaljipurvak vishleshan."
paul halmos yanni vyakt kelyapramaneh "ganeet heey anumanatmak vidnyan nahee-teey eka cleach aahe. jevha tumhi ekhade pramey siddha karnyacha prayatna karata, tevha tumhi keval gruhitkanchi yadee karat nahee aanee nantar tark karnyas suruvat karata. tumhi jeey karata teey mhanje chachani aanee truti, prayog, andaj. tumhala tathye kaay aahet heey jaanun ghyayache aahe aanee tyaa sandarbhat tumhi jeey karata teey prayogshaletil tantradnya jeey karato tyach pramane aahe."
itihas.
ganitshastradnyanni nehmich prayogik ganitacha sarav keela aahe. babylonian ganitachya suruvatichya ganitachya vidyaman nondinmadhye samanyatah bijganitiy olakh spasht karananya sankhyatmak udaharananchya yadya asatat. tathapi, 17 vya shatkachya suruvatis aadhunik ganitane antim, aupcharik aanee amoort sadarikaranat parinam prakashit karanyachi parampara vikasit kelee. jyaa sankhyatmak udaharananmule ganitshastradnyane moolatah samanya pramey tayar kele asave, tee prakashit jhaali naheet aanee samanyatah visarali gelee hotee.
visavya shatkat abhyasache eka vegale kshetra mhanoon prayogik ganeet punha udayala aale, jevha electronic sanganakachya shodhamule vyavharya ganananchi shreni mothya pramanat vadhali, jyacha veg aanee achookata mageel pidhitil ganitshastradnyanna upalabdh asalelya konatyahi goshtipeksha khoopach jaast hotee. prayogik ganitacha eka mahattvapoorn tappa aanee kamgiri mhanje 1995 madhye π chya dwaiti ankansathi bellie-borwein-ploff sutracha shodh. heey sootra aupcharik tarkadvare navhe, tarr tyaeivaji shodhale gele
sangankavar sankhyatmak shodhandvare; tyanantarach eka kathor purava sapadala.
uddishte aanee upayog.
prayogik ganitachi uddishte "samaj aanee antardrushti nirman karane; anuman tayar karane aanee pushti karane kinwa tyancha samna karane; aanee samanyatah vyavsayik sanshodhak aanee navshikya doghansathi ganeet adhik moort, chaitanyashil aanee majedar banavane" hii aahet.
prayogik ganitache upayog khalilpramane paribhashit kele gele aaheth
sadhane aanee tantre.
prayogik ganeet samakalan aanee anant malikesathi andaje mulyanchi ganana karnyasathi sankhyatmak paddhatincha vapar karate. hii moolye uchch patalichya achookatesah sthapit karnyasathi aniyantrit achookata ankganit vaparale jaate-samanyatah 100 lakshaniy aakruti kinwa tyahoon adhik. nantar yaa mulyanmadhye aanee ganiteey sthirankanmadhye sambandh shodhanyasathi purnank sambandh algoridamcha vapar keela jaato. uchch achook moolyansah kaam kelyane ganiteey yogayogala kharaa sambandh samajoon ghenyachi shakyata qamee hote. tyanantar anumanit natyacha aupcharik purava shodhala jaeel-ekada anumanit natyache swaroop samajale qee aupcharik purava shodhane anekada sope asate.
jarr prati-udaharan shodhale jaat asel kinwa thakwa darshavinara mothya pramanavaril purava denyacha prayatna keela jaat asel, tarr gananeche anek sangankanmadhye vibhajan karnyasathi vitarit sanganakeey tantracha vapar keela jaau shakato.
uchch karyakshamatechi aavashyakta asalelya samasyanvaril hallyansathi lihilelya samanya ganiteey software kinwa domain-vishisht softwarecha varanvar vapar keela jaato. prayogik ganeet softwaremadhye samanyatah truti shodhane aanee sudharana yantrana, akhandatechi tapasani aanee hardware kinwa software trutimule parinam avaidh honyachi shakyata qamee karnyasathi tayar kelelya anavashyak gananancha samavesh asato.
anuprayog aanee udaharane.
prayogik ganitache anuprayog aanee udaharananmadhye khaleel goshtincha samavesh hotoh
vajvi pann khotee udaharane.
kahee vajvi sambandh uchch patalivaril achookata dharan karatat, parantu tarihi teey kharey nasatat. eka udaharan aaheh
yaa abhivyaktichya donhi bajoo 42 vya dashansh sthananantar pratyakshat bhinn aahet.
dusare udaharan mhanje, 'x' n '−1 chya serve ghatakanchi kamal unchi (gunankanche kamal paripoorn moolya) hii' n 'vya cyclotomic bahupadichya unchiitakich disate. heey sangankane "aine" <10000 sathee kharey asalyache darshavile hote aanee serve "aine" sathee kharey asanyachi apeksha hotee. tathapi, eka mothya sanganakeey shodhat asey disun aale qee hii samanata "n" = 14235 sathee tikoon rahnyas apayashi tharate, jevha "n" vya cyclotomic bahupadichi unchi 2 asate, parantu ghatakanchi kamal unchi 3 asate.
vyavsayik.
khaleel ganitshastradnya aanee sanganak shastradnyanni prayogik ganitachya kshetrat mahattvapoorn yogdan dile aaheh