श्रीनिवास अयंगर रामानुजन  हिन्दी देवनागरी में पढ़ें।

shrinivas ayngar ramanujan
shrinivas ramanujan
poora nam shrinivas ayngar ramanujan
janm 22 disambar, 1887
janm bhoomi irod ganv, madras
mrityu 26 aprail, 1920
mrityu sthan madras
abhibhavak shrinivas ayyngar aur komalatammal
pati/patni janaki
karm bhoomi bharat, inglaind
prasiddhi ganitgy
vishesh yogadan ganit ke 3,884 prameyon ka snkalan kiya. inamen se adhikansh pramey sahi siddh kiye ja chuke hain.
nagarikata bharatiy
any janakari shrinivas ayngar ramanujanh ne ganit ke sahaj gyan aur bijaganit prakalan ki advitiy pratibha ke bal par bahut se maulik aur aparamparik parinam nikale jinase prerit shodh aj tak ho raha hai.

shrinivas ayngar ramanujanh (angrezi: Srinivasa Aiyangar Ramanujan, tamil: ஸ்ரீனிவாஸ ராமானுஜன் ஐயங்கார், janm: 22 disambar, 1887; mrityu: 26 aprail, 1920) mahanh bharatiy ganitgy the. inhen adhunik kal ke mahanatam ganit vicharakon men gina jata hai. inhen ganit men koee vishesh prashikshan nahin mila, phir bhi inhonne vishleshan evn snkhya siddhant ke kshetron men gahan yogadan die. inhonne apane pratibha aur lagan se n keval ganit ke kshetr men adbhut avishkar kie varanh bharat ko atulaniy gaurav bhi pradan kiya. ganit ke kshetr men apane samay ke anek diggajon ko pichhe chhodane vale shrinivas ramanujan ne keval 32 sal ke jivanakal men poori duniya ko ganit ke anek sootr aur siddhant die. ganit ke kshetr men ramanujan kisi bhi prakar se gaus, yoolar aur arkimidij se kam n the. kisi bhi tarah ki aupacharik shiksha n lene ke bavajood ramanujan ne uchch ganit ke kshetr men aisi vilakshan khojen kin ki is kshetr men unaka nam amar ho gaya. inhen ganit men koee vishesh prashikshan nahin mila, phir bhi inhonne vishleshan evn snkhya siddhant ke kshetron men gahan yogadan die. inhonne khud se ganit sikha aur apane jivanabhar men ganit ke 3,884 prameyon ka snkalan kiya. inamen se adhikansh pramey sahi siddh kiye ja chuke hain. inhonne ganit ke sahaj gyan aur bijaganit prakalan ki advitiy pratibha ke bal par bahut se maulik aur aparamparik parinam nikale jinase prerit shodh aj tak ho raha hai, yadyapi inaki kuchh khojon ko ganit mukhyadhara men ab tak nahin apanaya gaya hai. unake sootr kee vaigyanik khojon men madadagar bane. hal men inake sootron ko kristal-vigyan men prayukt kiya gaya hai. inake kary se prabhavit ganit ke kshetron men ho rahe kam ke liye ramanujan jarnal ki sthapana ki gee hai.

jivan parichay

adhunik bharat ke mahanatam ganitgy shrinivas ramanujan ka janm 22 disambar, 1887 ko bharat ke dakshini bhoo-bhag men sthit tamilanadu rajy men madras se 400 ki.mi. door dakshin-pashchim men koynbatoor ke eerod namak ek chhote se ganv men hua tha. vah parnparik brahman parivar men janme the. inaki mata ka nam komalatammal aur inake pita ka nam shrinivas ayyngar tha. ramanujan ke pita yahan ek kapada vyapari ki dukan men munim ka kary karate the. ramanujan jab ek varsh ke the tabhi unaka parivar kunbhakonam a gaya tha. inaka bachapan mukhyatah kunbhakonam men bita tha jo ki apane prachin mndiron ke lie jana jata hai.

bachapan

bachapan men ramanujan ka bauddhik vikas samany balakon jaisa nahin tha. yah tin varsh ki ayu tak bolana bhi nahin sikh pae the. jab itani badi ayu tak jab ramanujan ne bolana arnbh nahin kiya to sabako chinta huee ki kahin yah goonge to nahin hain. 10 sal ki umr men hi ramanujan ko ganit ke prati vishesh anurag utpann ho gaya the. ramanujan ko prashn poochhana bahut pasnd tha. unake prashn adhyapakon ko kabhi-kabhi bahut atapate lagate the. jaise ki- snsar men pahala purush kaun tha? prithvi aur badalon ke bich ki doori kitani hoti hai? jab ve tisare pharm men the to ek din ganit ke adhyapak ne padhate hue kaha, ‘‘yadi tin kele tin vyaktiyon ko bante jayen to pratyek ko ek kela milega. yadi 1000 kele 1000 vyaktiyon men bante jayen to bhi pratyek ko ek hi kela milega. is tarah siddh hota hai ki kisi bhi snkhya ko usi snkhya se bhag diya jaye to parinam ‘ek’ milega. ramanujan ne khade hokar poochha, ‘‘shoony ko shoony se bhag diya jaye to bhi kya parinam ek hi milega?’’

ganit se lagav

ramanujan jab vishvavidyalayi shiksha prapt n kar saken. ganit men to ve poore ke poore nambar le ate the lekin any vishay men ve phel ho jate the. ganit ke prati unaka lagav divanagi star par tha ki ganit ke prati to unamen gyan v any ke prati vairagy tha. aise men unhen apane ghar par baithana pada. unake mata pita hi unhen pagal kahane lage, upekshit karane lage v kamentas tatha nuktachini karane lage. ramanujan hamesha snkhyaon se khilavad karate rahate the. unhonne keval 13 sal ki umr men lndan vishvavidyalay ke profesar es. el. loni ki vishv prasiddh trikonamiti (triganometri) par likhit pustak ka adhyayan kar liya tha evn anek ganitiy siddhant pratipadit kie.

shiksha

ramanujan ka notabuk

bad ke varshon men jab unhonne vidyalay men pravesh liya to bhi parnparik shiksha men inaka kabhi bhi man nahin laga. panch varsh ki ayu men ramanujan ka dakhila kumbhakodamh ke prathamik vidyalay men kara diya gaya. ramanujan ne das varshon ki ayu men praimari pariksha men poore zile men sabase adhik ank prapt kiya. age ki shiksha ke lie sanh 1898 men inhonne taun haeeskool men pravesh liya aur sabhi vishayon men achchha pradarshan kiya. yahin 15 sal ki avastha men ramanujan jab maitrik kaksha men padh rahe the usi samay unhen sthaniy kaaulej ki laibreri se ganit ka ek granth mila, 'e sinopsis aph elimentri rijalts in pyor end eplaid maithametiks (Synopsis of Elementary Results in Pure and Applied Mathematics)’ lekhak the ‘jarj es. karr (George Shoobridge Carr) .’ ramanujan ne jarj es. karr ki ganit ke parinamon par likhi kitab padhi aur is pustak se prabhavit hokar svayn hi ganit par kary karana prarnbh kar diya. is pustak men uchch ganit ke kul 6165 pharmoole diye gaye the. jinhen ramanujan ne keval 16 sal ki ayu men poori tarah atmasat kar liya tha. ramanujan ne kuchh hi dinon men sabhi pharmoolon ko bina kisi ki madad liye hue siddh kar liya. is granth ko hal karate samay unhonne anek nayi khojen (nayi pramey) kar dalin. age ke varshon men ramanujan, karr ki pustak ko margadarshak manate hue ganit men kary karate rahe aur apane parinamon ko likhate ge jo ki 'notabuk' nam se prasiddh hue. bad men jab ramanujan inglaind gaye to unaka ganitiy gyan tatkalin ganitiy gyan se adhik unnat tha.

vyavahar

ramanujan ka vyavahar bada hi madhur tha. inaka samany se kuchh adhik sthool sharir aur jigyasa se chamakati akhen inhen ek alag hi pahachan deti thin. inake sahapathiyon ke anusar inaka vyavahar itana saumy tha ki koee inase naraz ho hi nahin sakata tha. vidyalay men inaki pratibha ne doosare vidyarthiyon aur shikshakon par chhap chhodana arnbh kar diya. inhonne skool ke samay men hi kaaulej ke star ke ganit ko padh liya tha. ek bar inake vidyalay ke pradhanadhyapak ne yah bhi kaha tha ki vidyalay men hone vali parikshaon ke mapadnd ramanujan ke lie lagoo nahin hote hain. haeeskool ki pariksha uttirn karane ke bad inhen ganit aur angrezi men achchhe ank lane ke karan subramanyam chhatravritti mili aur age kaaulej ki shiksha ke lie pravesh bhi mila.

chhatravritti

kumbhakodamh ke shasakiy mahavidyalay men adhyayan ke lie ramanujan ko chhatravritti milati thi parntu ramanujan ka ganit ke prati prem itana badh gaya tha ki ve doosare vishayon par dhyan hi nahin dete the. yahan tak ki ve itihas, jiv vigyan ki kakshaon men bhi ganit ke prashnon ko hal kiya karate the. natija yah hua ki gyarahavin kaksha ki pariksha men ve ganit ko chhod kar baki sabhi vishayon men phel ho ge aur parinamasvaroop unako chhatravritti milani bnd ho gee. ek to ghar ki arthik sthiti kharab aur oopar se chhatravritti bhi nahin mil rahi thi. ramanujan ke lie yah bada hi kathin samay tha. ghar ki sthiti sudharane ke lie inhonne ganit ke kuchh tyooshan tatha khate-bahi ka kam bhi kiya. sanh 1905 men ramanujan madras vishvavidyalay ki pravesh pariksha men sammilit hue parntu ganit ko chhodakar shesh sabhi vishayon men ve anuttirn ho ge. kuchh samay bad 1906 evn 1907 men ramanujan ne phir se barahavin kaksha ki praivet pariksha di aur anuttirn ho ge. ramanujan 12vin men do bar phel hue the aur isase pahale unhonne maitrik ki pariksha pahale daraje se pas ki thi. isi ke sath inake parnparik shiksha ki itishri ho gee. jis gavarnament kaaulej men padhate hue ve do bar phel hue, bad men us kaaulej ka nam badal kar unake nam par hi rakha gaya. patana sahit kee shaharon men unake nam par shikshan snsthan hain.

sngharsh ka samay

vidyalay chhodane ke bad ka panch varshon ka samay inake lie bahut hatasha bhara tha. bharat is samay paratntrata ki bediyon men jakada tha. charon taraph bhaynkar garibi thi. aise samay men ramanujan ke pas n koee naukari thi aur n hi kisi snsthan athava profesar ke sath kam karane ka mauka. bas unaka eeshvar par atoot vishvas aur ganit ke prati agadh shraddha ne unhen kartavy marg par chalane ke lie sadaiv prerit kiya. namagiri devi ramanujan ke parivar ki eesht devi thin. unake prati atoot vishvas ne unhen kahin rukane nahin diya aur ve itani viparit paristhitiyon men bhi ganit ke apane shodh ko chalate rahe. is samay ramanujan ko tyooshan se kul panch rupaye masik milate the aur isi men gujara hota tha. ramanujan ka yah jivan kal bahut kasht aur duahkh se bhara tha. inhen hamesha apane bharan-poshan ke lie aur apani shiksha ko jari rakhane ke lie idhar udhar bhatakana pada aur anek logon se asaphal yachana bhi karani padi. unhonne zyadatar jivan doosaron ki daya ke sahare bitaya. rupayon ke abhav men inaki sthiti yahan tak par pahunch gayi thi ki ve sadakon par pade kagaz uthane lage. kabhi kabhi to ve apana kam karane ke lie nili syahi se likhe kagajon par lal kalam se likhate the.

vivah aur ganit sadhana

ramachndr rav

varsh 1908 men inake mata pita ne inaka vivah janaki namak kanya se kar diya. vivah ho jane ke bad ab inake lie sab kuchh bhool kar ganit men doobana snbhav nahin tha. atah ve naukari ki talash men madras gaye. barahavin ki pariksha uttirn n hone ki vajah se inhen naukari nahin mili aur unaka svasthy bhi buri tarah gir gaya. ab daauktar ki salah par inhen vapas apane ghar kunbhakonam lautana pada. bimari se thik hone ke bad ve vapas madras gaye aur phir se naukari ki talash shuroo kar di. ye jab bhi kisi se milate the to use apana ek rajistar dikhate the. is rajistar men inake dvara ganit men kie ge sare kary hote the. isi samay kisi ke kahane par ramanujan vahan ke dipti kalektar shri vi. ramasvami ayyar se mile. ayyar ganit ke bahut bade vidvan the. yahan par shri ayyar ne ramanujan ki pratibha ko pahachana aur jiladhikari shri ramachndr rav ('indiyan methametikal sosayati' ke snsthapakon men se ek) se kah kar inake lie 25 rupaye masik chhatravritti ka prabndh bhi kar diya. ramanujan ne ramachndr rav ke sath ek varsh tak kary kiya. inhonne 'indiyan methametikal sosayati' ki patrika (jarnal) ke lie prashn evn unake hal taiyar karane ka kary prarnbh kar diya. is vritti par ramanujan ne 17 sal ki umr men madras men ek sal rahate hue apana pratham shodhapatr prakashit kiya aur vah poori tarah ganit ke jatil snsar men a ge. shodh patr ka shirshak tha baranauli snkhyaon ke kuchh gun aur yah shodh patr anek patrikaon aur pustakon men prakashit hue tatha us samay ki pratishthit patrika 'jarnal aph indiyan maithametikal sosayati' men bhi inaka prakashan hua tha. jarnal ke snpadak em. ti. narayan ayngar ne ramanujan ke bare men likha tha, mistar ramanujan ki paddhatiyan itani uttam aur adbhut hain tatha unaka prastutikaran spashtata tatha yatharth ke snbndh men itana sahi hai ki am adhyeta unaki barabari mushkil se hi kar sakata hai. sanh 1911 men barnoli snkhyaon par prastut shodhapatr se inhen bahut prasiddhi mili aur madras men ganit ke vidvan ke roop men pahachane jane lage. yahan ek sal poora hone par inhonne sanh 1912 men ramachndr rav ki sahayata se madras port trast ke lekha vibhag men lipik ki naukari karane lage. saubhagy se is naukari men kam ka bojh kuchh zyada nahin tha aur yahan inhen apane ganit ke lie paryapt samay milata tha. yahan par ramanujan rat bhar jag kar ne-ne ganit ke sootr likha karate the aur phir thodi der tak aram kar ke phir daftar ke lie nikal jate the. ramanujan ganit ke shodhon ko slet par likhate the aur bad men use ek rajistar men likh lete the. rat ko ramanujan ke slet aur khadie ki avaz ke karan parivar ke any sadasyon ki nind chaupat ho jati thi.

ramanujan aur profesar hardi

ji. ech. hardi (G.H.HARDY)

us samay bharatiy aur pashchimi rahan sahan men ek badi doori thi aur is vajah se samanyatah bharatiyon ko angrez vaigyanikon ke samane apane baton ko prastut karane men kafi snkoch hota tha. idhar sthiti kuchh aisi thi ki bina kisi angrez ganitgy ki sahayata lie shodh kary ko age nahin badhaya ja sakata tha. us samay ramanujan ke purane shubhachintak inake kam ae aur in logon ne ramanujan dvara kie ge karyon ko lndan ke prasiddh ganitgyon ke pas bheja. par yahan inhen kuchh vishesh sahayata nahin mili lekin ek labh yah hua ki log ramanujan ko thoda bahut janane lage the. isi samay ramanujan ne apane snkhya siddhant ke kuchh sootr profesar sheshoo ayyar ko dikhae to unaka dhyan lndan ke hi profesar hardi ki taraph gaya. profesar hardi us samay ke vishv ke prasiddh ganitgyon men se ek the. aur apane sakht svabhav aur anushasanapriyata ke karan jane jate the. profesar hardi ke shodhakary ko padhane ke bad ramanujan ne bataya ki unhonne profesar hardi ke anuttarit prashn ka uttar khoj nikala hai. ab ramanujan ka profesar hardi se patravyavahar arnbh hua. ab yahan se ramanujan ke jivan men ek ne yug ka sootrapat hua jisamen profesar hardi ki bahut badi bhoomika thi. doosare shabdon men kaha jae to jis tarah se ek jauhari hire ki pahachan karata hai aur use tarash kar chamaka deta hai, ramanujan ke jivan men vaisa hi kuchh sthan profesar hardi ka hai. profesar hardi ajivan ramanujan ki pratibha aur jivan darshan ke prashnsak rahe. ramanujan aur profesar hardi ki yah mitrata dono hi ke lie labhaprad siddh huee. ek tarah se dekha jae to dono ne ek doosare ke lie poorak ka kam kiya.

arnbh men ramanajun ne 1912-1913 ke dauran khud vikasit kie apani 120 prameyon ki ek lambi soochi ko achchhe kagajon par likhakar ek patr ke sath kainbrij vishvavidyalay ke tin pratishthit profesaron ko bheje, jinamen se ji. ech. hardi (G.H.HARDY) ne ramanujan ke kam ki tariph ki aur apane adhin adhyayan ke lie unhen kainbrij bulaya. ye patr hardi ko subah nashte ke tebal par mile. is patr men kisi anajan bharatiy dvara bahut sare bina utpatti ke pramey likhe the, jinamen se kee pramey hardi dekh chuke the. pahali bar dekhane par hardi ko laga ki ramanujan ki 10 pannon vali ganit ke 10 sootron se bhari chiththi sab bakavas hai. unhonne is patr ko ek taraph rakh diya aur apane karyon men lag ge parntu is patr ki vajah se unaka man ashant tha. is patr men bahut sare aise pramey the jo unhonne n kabhi dekhe aur n soche the. unhen bar-bar yah lag raha tha ki yah vyakti (ramanujan) ya to dhokhebaj hai ya phir ganit ka bahut bada vidvan. rat ko 9 baje hardi ne apane ek shishy litilavud ke sath ek bar phir in prameyon ko dekha aur adhi rat tak ve log samajh gaye ki ramanujan koee dhokhebaj nahin balki ganit ke bahut bade vidvan hain, jinaki pratibha ko duniya ke samane lana avashyak hai. ve apane sathi litilavud aur patni elis ke sath madras ja rahe ek yuva pradhyapak nevil ki madad lekar ramanujan ke bare men aur janakari jutane tatha agar sambhav ho, unhen kaimbrij bulane ke lie tatpar ho uthate hain. hardi ka yah nirnay ek aisa nirnay tha jisane n keval unaki aur unake doston ki balki poore ganit-itihas ki hi dhara badal dali.

briten yatra

bharatiy dak tikat men ramanujan

kuchh vyaktigat karanon aur dhan ki kami ke karan ramanujan ne profesar hardi ke kainbrij ke amntran ko asvikar kar diya. profesar hardi ko isase nirasha huee lekin unhonne kisi bhi tarah se ramanujan ko vahan bulane ka nishchay kiya. isi samay sanh 1913 men hardi ke patr ke adhar par ramanujan ko madras vishvavidyalay men shodh vritti mil gee thi jisase unaka jivan kuchh saral ho gaya aur unako shodhakary ke lie poora samay bhi milane laga tha. isi bich ek lnbe patravyavahar ke bad dhire-dhire profesar hardi ne ramanujan ko kainbrij ane ke lie sahamat kar liya. profesar hardi ke prayason se ramanujan ko kainbrij jane ke lie arthik sahayata bhi mil gee. ramanujan ne inglaind jane ke pahale ganit ke qarib 3000 se bhi adhik naye sootron ko apani notabuk men likha tha. 17 march 1914 men hardi ne ramanujan ke lie kembrij ke triniti kaaulej ane ki vyavastha ki. is prakar ramanujan briten ke lie jalayan se ravana ho gaye the. ramanujan ne lndan ki dharati par qadam rakha. vahan profesar hardi ne unake lie pahale se vvavastha ki huee thi atah inhen koee vishesh pareshani nahin huee. inglaind men ramanujan ko bas thodi pareshani thi aur isaka karan tha unaka sharmila, shant svabhav aur shuddh satvik jivanacharya. phir silasila shuroo hua unake samman v puraskar ka. ramanujan ne ganit men jo kuchh bhi kiya tha vo sab apane bal par kiya tha. ramanujan ko ganit ki kuchh shakhaon ka bilakul bhi gyan nahin tha par kuchh kshetron men unaka koee sani nahin tha isalie hardi ne ramanujan ko padhane ka jimma svayn liya. svayn hardi ne is bat ko svikar kiya ki jitana unhonne ramanujan ko sikhaya usase kahin zyada ramanujan ne unhen sikhaya. unhonne profesar hardi ke sath mil kar uchchakoti ke shodhapatr prakashit kie. sanh 1916 men apane ek vishesh shodh ke karan inhen kainbrij vishvavidyalay dvara bi.es.si. ki upadhi bhi mili.

raauyal sosaiti ki sadasyata

ramanujan aur hardi ke karyon ne shuroo se hi mahattvapoorn parinam diye. yadyapi sanh 1917 se hi ramanujan bimar rahane lage the aur adhikansh samay bistar par hi rahate the. ramanujan ka janm brahman kul men hua tha. vah dharm-karm ko manate the aur kadaee se unaka palan karate the. ramanujan shakahari the aur yuddhagrast inglaind men rahate samay vah adhikanshatah apana bhojan svayn pakate the. inglaind ki kadi sardi aur us par kada parishram. phalasvaroop ramanujan ka svasthy kharab rahane laga aur unamen tapedik (kshay rog) ke lakshan dikhaee dene lage, to unhen aspatal men bharti kar diya gaya. us samay kshay rog ki koee dava nahin hoti thi aur rogi ko senetoriyam me rahana padata tha. ramanujan ko bhi kuchh dinon tak vahan rahana pada. vahan is samay bhi yah ganit ke sootron men nee nee kalpanaen kiya karate the. idhar unake lekh uchchakoti ki patrikaon men prakashit hone lage the. sanh 1918 men, ek hi varsh men ramanujan ko kaimbrij philosaauphikal sosayati, raauyal sosayati tatha triniti kaaulej, kaimbrij tinon ka phelo chun gaya. aise samay men jab bharat gulami men ji raha tha tab ek ashvet vyakti ko raauyal sosaiti ki sadasyata milana ek bahut badi bat thi. raauyal sosaiti ke poore itihas men inase kam ayu ka koee sadasy aj tak nahin hua hai. poore bharat men unake shubhachintakon ne utsav manaya aur sabhaen ki. raauyal sosaiti ki sadasyata ke bad yah triniti kaaulej ki pheloship pane vale pahale bharatiy bhi bane. isase ramanujan ka utsah aur bhi adhik badha aur vah khojakary men jor-shor se jut ge. ab aisa lag raha tha ki sab kuchh bahut achchhi jagah par ja raha hai. lekin ramanujan ka svasthy girata ja raha tha aur ant men daauktaron ki salah par unhen sanh 1919 men vapas bharat lautana pada. bharat ane par inhen madras vishvavidyalay men pradhyapak ki naukari mil gee. aur ramanujan adhyapan aur shodh kary men punah ram ge.

ramanujan ki shodh aur karyashaili

ramanujan aur inake dvara kie ge adhikansh kary abhi bhi vaigyanikon ke lie aboojh paheli bane hue hain. ek bahut hi samany parivar men janm le kar poore vishv ko ashcharyachakit karane ki apani is yatra men inhonne bharat ko apoorv gaurav pradan kiya. inaka unaka vah purana rajistar jis par ve apane pramey aur sootron ko likha karate the 1976 men achanak triniti kaaulej ke pustakalay men mila. qarib ek sau pannon ka yah rajistar aj bhi vaigyanikon ke lie ek paheli bana hua hai. is rajistar ko bad men ramanujan ki not buk ke nam se jana gaya. munbee ke tata moolabhoot anusndhan snsthan dvara isaka prakashan bhi kiya gaya hai. ramanujan ke shodhon ki tarah unake ganit men kam karane ki shaili bhi vichitr thi. ve kabhi kabhi adhi rat ko sote se jag kar slet par ganit se sootr likhane lagate the aur phir so jate the. is tarah aisa lagata tha ki ve sapane men bhi ganit ke prashn hal kar rahe hon. ramanujan ke nam ke sath hi unaki kuladevi ka bhi nam liya jata hai. inhonne shoony aur anant ko hamesha dhyan men rakha aur isake antarsambandhon ko samajhane ke lie ganit ke sootron ka sahara liya. ramanujan ke kary karane ki ek visheshata thi. pahale ve ganit ka koee naya sootr ya prameny pahale likh dete the lekin usaki upapatti par utana dhyan nahin dete the. isake bare men poochhe jane par ve kahate the ki yah sootr unhen namagiri devi ki kripa se prapt hue hain. ramanujan ka adhyatm ke prati vishvas itana gahara tha ki ve apane ganit ke kshetr men kiye ge kisi bhi kary ko adhyatm ka hi ek ang manate the. ve dharm aur adhyatm men keval vishvas hi nahin rakhate the balki use tarkik roop se prastut bhi karate the. ve kahate the ki mere lie ganit ke us sootr ka koee matalab nahin hai jisase mujhe adhyatmik vichar n milate hon.

ramanujan ke pharmoole
ramanujan ke pharmoole
ramanujan ke pharmoole
ramanujan ke pharmoole
ramanujan ke pharmoole
ramanujan ke pharmoole
ramanujan ke pharmoole

bharat agaman

bharat lautane par bhi svasthy ne inaka sath nahin diya aur halat gnbhir hoti ja rahi thi. is bimari ki dasha men bhi inhonne maauk thita phnkshan par ek uchch stariy shodhapatr likha. ramanujan dvara pratipadit is phalan ka upayog ganit hi nahin balki chikitsavigyan men kainsar ko samajhane ke lie bhi kiya jata hai. ramanujan ki ganitiy sootron ko nikalane ki vidhiyan itani jatil hoti thin ki ganit ki patrikaen bhi unhen jyon ki tyon prakashit karane men asamarth hoti thin. baranaauli snkhyaon par unaka pahala risarch pepar jo indiyan maithemaitik sosaiti men prakashit hua tha, sampadak ne tin bar lautaya tha.

vilakshan pratibha ke dhani

ramanujan ki smaran shakti gajab ki thi. ve vilakshan pratibha ke dhani aur ek mahanh ganitgy the. ek bahut hi prasiddh ghatana hai. jab ramanujan aspatal men bharti the to daau. hardi unhen dekhane ae. daau. hardi jis taiksi men ae the usaka nn. tha 1729 . yah snkhya daau. hardi ko ashubh lagi kyonki 1729 = 7 x 13 x 19 aur inglaind ke log 13 ko ek ashubh snkhya manate hain. parntu ramanujan ne kaha ki yah to ek adbhut snkhya hai. yah vah sabase chhoti snkhya hai, jise ham do ghan snkhyaon ke jod se do tarike men vyakt kar sakate hain.

1729 = 123 + 13
1729 = 103 + 93

ilinaauy vishvavidyalay ke ganit ke profesar broos si. barnadt ne ramanujan ki tin pustakon par 20 varshon tak shodh kiya aur is shodh ka nishkarsh panch pustakon ke snkalan ke roop men prakashit hua hai. broos si. banodt kahate hain, "mujhe yah sahi nahin lagata jab log ramanujan ki ganitiy pratibha ko kisi daiviy ya adhyatmik shakti se jod kar dekhate hain. yah manyata thik nahin hai. unhonne badi savadhani se apane shodh nishkarshon ko apani pustikaon men darj kiya hai." sanh 1903 se 1914 ke bich, kaimbrij jane se pahale ramanujan apani pustikaon men 3,542 pramey likh chuke the. unhonne zyadatar apane nishkarsh hi die the, unaki utpatti nahin di. shayad isalie ki ve kagaz kharidanen men saksham nahin the aur ve apana kary pahale slet par karate the. bad men bina upapatti die use pustika men likh lete the.

sanh 1967 men profesar broos si. barnadt ko profesar ar. e. renkin ne 'tata instityoot aph phndamental risarch bambe (mumbee)' dvara prakashit 'ramanujan not buks' dikhaee par us samay profesar barnadt ki is pustak men koee ruchi nahin thi. sanh 1974 men inhonen emil graausavaauld ke do patron ko padha jinamen graausavaauld ne ramanujan ke kuchh prameyon ki utpattiyan di thin. profesar broos si. barnadt ko laga ki vah bhi ramanujan ke prameyon ki utpattiyan de sakate hain aur vah 'ramanujan not buks' ke bare men janane ke lie utsuk ho ge. profesar barnadt prinsatan vishvavidyalay ge aur vahan se 'tata instityoot aph phndamental risarch' dvara prakashit 'ramanujan not buks' ki ek prati le ae. yah dekhakar profesar barnadt romanchit ho ge ki vah kuchh aur prameyon ki utpatti dene men saksham the parntu us pustak men aise hajaron pramey the jinaki utpatti ve nahin de sakate the aur is tarah profesar barnadt ne apana poora dhyan ramanujan ki pustakon ke shodh men laga diya.

ramanujan ke pramukh ganitiy karyon men ek hai kisi snkhya ke vibhajanon ki snkhya gyat karane ke pharmoole ki khoj. udaharan ke lie snkhya 5 ke kul vibhajanon ki snkhya 7 hai is prakar : 5, 4+1, 3+2, 3+1.1, 2+2+1, 2+1+1+1, 1+1+1+1+1. ramanujan ke pharmoole se kisi bhi snkhya ke vibhajanon ki snkhya gyat ki ja sakati hai. udaharan ke lie snkhya 200 ke kul vibhajan hote hai - 3972999029388, hal hi men bhautik jagat ki nayi thyori ‘suparastring thyori’ men is pharmoole ka kafi upayog hua hai. ramanujan ne uchch ganit ke kshetron jaise snkhya siddhant, iliptik phalan, haeeparajyomaitrik shreni ityadi men anek mahattvapoorn khojen kin.

ramanujan ka antim samay

sanh 1919 men inglaind se vapas ane ke pashchath ramanujan kodamndi ganv men rahane lage. ramanujan ka antim samay charapaee par hi bita. ve charapaee par pet ke bal lete-lete kagaz par bahut tej gati se likhate rahate the mano unake mastishk men ganitiy vicharon ki andhi chal rahi ho. ramanujan svayn kahate the ki unake dvara likhe sabhi pramey unaki kul devi namagiri ki prerana hain. inglaind ka mausam unhen ras nahin aya. inaka girata svasthy sabake lie chinta ka vishay ban gaya aur yahan tak ki ab daauktaron ne bhi javab de diya tha. ant men ramanujan ke vida ki ghadi a hi gee. bharat lautane ke pashchath bhi unake svasth men koee sudhar nahin hua aur 26 aprail 1920 ke pratah kal men ve achet ho ge aur dopahar hote hote unhonne pran tyag die. is samay mahaj 33 varsh ki alp ayu men tapedik (tibi rog) se shrinivas ramanujan ka svargavas ho gaya. inaka asamay nidhan ganit jagat ke lie apooraniy kshati tha. poore desh videsh men jisane bhi ramanujan ki mrityu ka samachar suna vahin stabdh ho gaya. ramanujan ki patni ka dehant 80 ke dashak men hua aur apane pati ki maut ke bad unhonne ek beta god liya. aj bhi ganitgy ramanujan ki kshamataon se hairan hain. ve unake dvara di gee kee prameyon ko kampyootar ki madad se bhi nahin sulajha pate jinhen ramanujan ek kagaz aur pensil ki madad se hal karate the. unhonne ganit ke kshetr men kafi khyati arjit ki thi. anek ganitgyon ne apane patron aur lekhon men unake bare men likha hai aur un par kee pustakon ka prakashan kiya gaya hai.


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shodh

tika tippani aur sndarbh

snbndhit lekh

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