श्रीनिवास अयंगर रामानुजन

shrinivas ayangar ramanujan
shrinivas ramanujan|200px|center
poora nam	shrinivas ayangar ramanujan
janm	22 disambar, 1887
janm bhoomi	irod gaanv, madras
mrityu	26 aprail, 1920
mrityu sthan	madras
abhibhavak	shrinivas ayyangar aur komalatammal
pati/patni	janaki
karm bhoomi	bharat, ianglaind
prasiddhi	ganitajn
vishesh yogadan	ganit ke 3,884 prameyoan ka sankalan kiya. inamean se adhikaansh pramey sahi siddh kiye ja chuke haian.
nagarikata	bharatiy
any janakari	shrinivas ayangar ramanujanh ne ganit ke sahaj jnan aur bijaganit prakalan ki advitiy pratibha ke bal par bahut se maulik aur aparamparik parinam nikale jinase prerit shodh aj tak ho raha hai.

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shrinivas ayangar ramanujanh (aangrezi: Srinivasa Aiyangar Ramanujan, tamil: ஸ்ரீனிவாஸ ராமானுஜன் ஐயங்கார், janm: 22 disambar, 1887; mrityu: 26 aprail, 1920) mahanh bharatiy ganitajn the. inhean adhunik kal ke mahanatam ganit vicharakoan mean gina jata hai. inhean ganit mean koee vishesh prashikshan nahian mila, phir bhi inhoanne vishleshan evan sankhya siddhaant ke kshetroan mean gahan yogadan die. inhoanne apane pratibha aur lagan se n keval ganit ke kshetr mean adbhut avishkar kie varanh bharat ko atulaniy gaurav bhi pradan kiya. ganit ke kshetr mean apane samay ke anek diggajoan ko pichhe chho dane vale shrinivas ramanujan ne keval 32 sal ke jivanakal mean poori duniya ko ganit ke anek sootr aur siddhaant die. ganit ke kshetr mean 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 mean aisi vilakshan khojean kian ki is kshetr mean unaka nam amar ho gaya. inhean ganit mean koee vishesh prashikshan nahian mila, phir bhi inhoanne vishleshan evan sankhya siddhaant ke kshetroan mean gahan yogadan die. inhoanne khud se ganit sikha aur apane jivanabhar mean ganit ke 3,884 prameyoan ka sankalan kiya. inamean se adhikaansh pramey sahi siddh kiye ja chuke haian. inhoanne ganit ke sahaj jnan 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 khojoan ko ganit mukhyadhara mean ab tak nahian apanaya gaya hai. unake sootr kee vaijnanik khojoan mean madadagar bane. hal mean inake sootroan ko kristal-vijnan mean prayukt kiya gaya hai. inake kary se prabhavit ganit ke kshetroan mean ho rahe kam ke liye ramanujan jarnal ki sthapana ki gee hai.

jivan parichay

adhunik bharat ke mahanatam ganitajn shrinivas ramanujan ka janm 22 disambar, 1887 ko bharat ke dakshini bhoo-bhag mean sthit tamilanadu rajy mean madras se 400 ki.mi. door dakshin-pashchim mean koyanbatoor ke eerod namak ek chhote se gaanv mean hua tha. vah paranparik brahman parivar mean janme the. inaki mata ka nam komalatammal aur inake pita ka nam shrinivas ayyangar tha. ramanujan ke pita yahaan ek kap da vyapari ki dukan mean munim ka kary karate the. ramanujan jab ek varsh ke the tabhi unaka parivar kuanbhakonam a gaya tha. inaka bachapan mukhyatah kuanbhakonam mean bita tha jo ki apane prachin mandiroan ke lie jana jata hai.

bachapan

bachapan mean ramanujan ka bauddhik vikas samany balakoan jaisa nahian tha. yah tin varsh ki ayu tak bolana bhi nahian sikh pae the. jab itani b di ayu tak jab ramanujan ne bolana aranbh nahian kiya to sabako chianta huee ki kahian yah gooange to nahian haian. 10 sal ki umr mean hi ramanujan ko ganit ke prati vishesh anurag utpann ho gaya the. ramanujan ko prashn poochhana bahut pasand tha. unake prashn adhyapakoan ko kabhi-kabhi bahut atapate lagate the. jaise ki- sansar mean pahala purush kaun tha? prithvi aur badaloan ke bich ki doori kitani hoti hai? jab ve tisare pharm mean the to ek din ganit ke adhyapak ne padhate hue kaha, ‘‘yadi tin kele tin vyaktiyoan ko baante jayean to pratyek ko ek kela milega. yadi 1000 kele 1000 vyaktiyoan mean baante jayean to bhi pratyek ko ek hi kela milega. is tarah siddh hota hai ki kisi bhi sankhya ko usi sankhya se bhag diya jaye to parinam ‘ek’ milega. ramanujan ne kh de 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 sakean. ganit mean to ve poore ke poore nambar le ate the lekin any vishay mean ve phel ho jate the. ganit ke prati unaka lagav divanagi star par tha ki ganit ke prati to unamean jnan v any ke prati vairagy tha. aise mean unhean apane ghar par baithana p da. unake mata pita hi unhean pagal kahane lage, upekshit karane lage v kameantas tatha nuktachini karane lage. ramanujan hamesha sankhyaoan se khilava d karate rahate the. unhoanne keval 13 sal ki umr mean landan vishvavidyalay ke profesar es. el. loni ki vishv prasiddh trikonamiti (triganometri) par likhit pustak ka adhyayan kar liya tha evan anek ganitiy siddhaant pratipadit kie.

shiksha

ramanujan ka notabuk|thumb|300px bad ke varshoan mean jab unhoanne vidyalay mean pravesh liya to bhi paranparik shiksha mean inaka kabhi bhi man nahian laga. paanch varsh ki ayu mean ramanujan ka dakhila kumbhako damh ke prathamik vidyalay mean kara diya gaya. ramanujan ne das varshoan ki ayu mean praimari pariksha mean poore zile mean sabase adhik aank prapt kiya. age ki shiksha ke lie sanh 1898 mean inhoanne taun haeeskool mean pravesh liya aur sabhi vishayoan mean achchha pradarshan kiya. yahian 15 sal ki avastha mean ramanujan jab maitrik kaksha mean padh rahe the usi samay unhean sthaniy k aaulej ki laibreri se ganit ka ek granth mila, 'e sinopsis aph elimeantri rijalts in pyor eand 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 parinamoan par likhi kitab padhi aur is pustak se prabhavit hokar svayan hi ganit par kary karana praranbh kar diya. is pustak mean uchch ganit ke kul 6165 pharmoole diye gaye the. jinhean ramanujan ne keval 16 sal ki ayu mean poori tarah atmasat kar liya tha. ramanujan ne kuchh hi dinoan mean sabhi pharmooloan ko bina kisi ki madad liye hue siddh kar liya. is granth ko hal karate samay unhoanne anek nayi khojean (nayi pramey) kar dalian. age ke varshoan mean ramanujan, karr ki pustak ko margadarshak manate hue ganit mean kary karate rahe aur apane parinamoan ko likhate ge jo ki 'notabuk' nam se prasiddh hue. bad mean jab ramanujan ianglaind gaye to unaka ganitiy jnan tatkalin ganitiy jnan se adhik unnat tha.

vyavahar

ramanujan ka vyavahar b da hi madhur tha. inaka samany se kuchh adhik sthool sharir aur jijnasa se chamakati akhean inhean ek alag hi pahachan deti thian. inake sahapathiyoan ke anusar inaka vyavahar itana saumy tha ki koee inase naraz ho hi nahian sakata tha. vidyalay mean inaki pratibha ne doosare vidyarthiyoan aur shikshakoan par chhap chho dana aranbh kar diya. inhoanne skool ke samay mean hi k aaulej ke star ke ganit ko padh liya tha. ek bar inake vidyalay ke pradhanadhyapak ne yah bhi kaha tha ki vidyalay mean hone vali parikshaoan ke mapadand ramanujan ke lie lagoo nahian hote haian. haeeskool ki pariksha uttirn karane ke bad inhean ganit aur aangrezi mean achchhe aank lane ke karan subramanyam chhatravritti mili aur age k aaulej ki shiksha ke lie pravesh bhi mila.

chhatravritti

kumbhako damh ke shasakiy mahavidyalay mean adhyayan ke lie ramanujan ko chhatravritti milati thi parantu ramanujan ka ganit ke prati prem itana badh gaya tha ki ve doosare vishayoan par dhyan hi nahian dete the. yahaan tak ki ve itihas, jiv vijnan ki kakshaoan mean bhi ganit ke prashnoan ko hal kiya karate the. natija yah hua ki gyarahavian kaksha ki pariksha mean ve ganit ko chho d kar baki sabhi vishayoan mean phel ho ge aur parinamasvaroop unako chhatravritti milani band ho gee. ek to ghar ki arthik sthiti kharab aur oopar se chhatravritti bhi nahian mil rahi thi. ramanujan ke lie yah b da hi kathin samay tha. ghar ki sthiti sudharane ke lie inhoanne ganit ke kuchh tyooshan tatha khate-bahi ka kam bhi kiya. sanh 1905 mean ramanujan madras vishvavidyalay ki pravesh pariksha mean sammilit hue parantu ganit ko chho dakar shesh sabhi vishayoan mean ve anuttirn ho ge. kuchh samay bad 1906 evan 1907 mean ramanujan ne phir se barahavian kaksha ki praivet pariksha di aur anuttirn ho ge. ramanujan 12vian mean do bar phel hue the aur isase pahale unhoanne maitrik ki pariksha pahale daraje se pas ki thi. isi ke sath inake paranparik shiksha ki itishri ho gee. jis gavarnameant k aaulej mean padhate hue ve do bar phel hue, bad mean us k aaulej ka nam badal kar unake nam par hi rakha gaya. patana sahit kee shaharoan mean unake nam par shikshan sansthan haian.

sangharsh ka samay

vidyalay chho dane ke bad ka paanch varshoan ka samay inake lie bahut hatasha bhara tha. bharat is samay paratantrata ki be diyoan mean jak da tha. charoan taraph bhayankar garibi thi. aise samay mean ramanujan ke pas n koee naukari thi aur n hi kisi sansthan athava profesar ke sath kam karane ka mauka. bas unaka eeshvar par atoot vishvas aur ganit ke prati agadh shraddha ne unhean kartavy marg par chalane ke lie sadaiv prerit kiya. namagiri devi ramanujan ke parivar ki eesht devi thian. unake prati atoot vishvas ne unhean kahian rukane nahian diya aur ve itani viparit paristhitiyoan mean bhi ganit ke apane shodh ko chalate rahe. is samay ramanujan ko tyooshan se kul paanch rupaye masik milate the aur isi mean gujara hota tha. ramanujan ka yah jivan kal bahut kasht aur duahkh se bhara tha. inhean hamesha apane bharan-poshan ke lie aur apani shiksha ko jari rakhane ke lie idhar udhar bhatakana p da aur anek logoan se asaphal yachana bhi karani p di. unhoanne zyadatar jivan doosaroan ki daya ke sahare bitaya. rupayoan ke abhav mean inaki sthiti yahaan tak par pahuanch gayi thi ki ve s dakoan par p de kagaz uthane lage. kabhi kabhi to ve apana kam karane ke lie nili syahi se likhe kagajoan par lal kalam se likhate the.

vivah aur ganit sadhana

ramachandr rav|thumb|300px varsh 1908 mean 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 mean doobana sanbhav nahian tha. atah ve naukari ki talash mean madras gaye. barahavian ki pariksha uttirn n hone ki vajah se inhean naukari nahian mili aur unaka svasthy bhi buri tarah gir gaya. ab d aauktar ki salah par inhean vapas apane ghar kuanbhakonam lautana p da. 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 mean inake dvara ganit mean kie ge sare kary hote the. isi samay kisi ke kahane par ramanujan vahaan ke dipti kalektar shri vi. ramasvami ayyar se mile. ayyar ganit ke bahut b de vidvan the. yahaan par shri ayyar ne ramanujan ki pratibha ko pahachana aur jiladhikari shri ramachandr rav ('iandiyan methametikal sosayati' ke sansthapakoan mean se ek) se kah kar inake lie 25 rupaye masik chhatravritti ka prabandh bhi kar diya. ramanujan ne ramachandr rav ke sath ek varsh tak kary kiya. inhoanne 'iandiyan methametikal sosayati' ki patrika (jarnal) ke lie prashn evan unake hal taiyar karane ka kary praranbh kar diya. is vritti par ramanujan ne 17 sal ki umr mean madras mean ek sal rahate hue apana pratham shodhapatr prakashit kiya aur vah poori tarah ganit ke jatil sansar mean a ge. shodh patr ka shirshak tha baranauli sankhyaoan ke kuchh gun aur yah shodh patr anek patrikaoan aur pustakoan mean prakashit hue tatha us samay ki pratishthit patrika 'jarnal aph iandiyan maithametikal sosayati' mean bhi inaka prakashan hua tha. jarnal ke sanpadak em. ti. narayan ayangar ne ramanujan ke bare mean likha tha, mistar ramanujan ki paddhatiyaan itani uttam aur adbhut haian tatha unaka prastutikaran spashtata tatha yatharth ke sanbandh mean itana sahi hai ki am adhyeta unaki barabari mushkil se hi kar sakata hai. sanh 1911 mean barnoli sankhyaoan par prastut shodhapatr se inhean bahut prasiddhi mili aur madras mean ganit ke vidvan ke roop mean pahachane jane lage. yahaan ek sal poora hone par inhoanne sanh 1912 mean ramachandr rav ki sahayata se madras port trast ke lekha vibhag mean lipik ki naukari karane lage. saubhagy se is naukari mean kam ka bojh kuchh zyada nahian tha aur yahaan inhean apane ganit ke lie paryapt samay milata tha. yahaan par ramanujan rat bhar jag kar ne-ne ganit ke sootr likha karate the aur phir tho di der tak aram kar ke phir daftar ke lie nikal jate the. ramanujan ganit ke shodhoan ko slet par likhate the aur bad mean use ek rajistar mean likh lete the. rat ko ramanujan ke slet aur kh die ki avaz ke karan parivar ke any sadasyoan ki niand chaupat ho jati thi.

ramanujan aur profesar hardi

ji. ech. hardi (G.H.HARDY)|thumb|300px us samay bharatiy aur pashchimi rahan sahan mean ek b di doori thi aur is vajah se samanyatah bharatiyoan ko aangrez vaijnanikoan ke samane apane batoan ko prastut karane mean kafi sankoch hota tha. idhar sthiti kuchh aisi thi ki bina kisi aangrez ganitajn ki sahayata lie shodh kary ko age nahian badhaya ja sakata tha. us samay ramanujan ke purane shubhachiantak inake kam ae aur in logoan ne ramanujan dvara kie ge karyoan ko landan ke prasiddh ganitajnoan ke pas bheja. par yahaan inhean kuchh vishesh sahayata nahian mili lekin ek labh yah hua ki log ramanujan ko tho da bahut janane lage the. isi samay ramanujan ne apane sankhya siddhaant ke kuchh sootr profesar sheshoo ayyar ko dikhae to unaka dhyan landan ke hi profesar hardi ki taraph gaya. profesar hardi us samay ke vishv ke prasiddh ganitajnoan mean 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 unhoanne profesar hardi ke anuttarit prashn ka uttar khoj nikala hai. ab ramanujan ka profesar hardi se patravyavahar aranbh hua. ab yahaan se ramanujan ke jivan mean ek ne yug ka sootrapat hua jisamean profesar hardi ki bahut b di bhoomika thi. doosare shabdoan mean kaha jae to jis tarah se ek jauhari hire ki pahachan karata hai aur use tarash kar chamaka deta hai, ramanujan ke jivan mean vaisa hi kuchh sthan profesar hardi ka hai. profesar hardi ajivan ramanujan ki pratibha aur jivan darshan ke prashansak 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.

aranbh mean ramanajun ne 1912-1913 ke dauran khud vikasit kie apani 120 prameyoan ki ek lambi soochi ko achchhe kagajoan par likhakar ek patr ke sath kaianbrij vishvavidyalay ke tin pratishthit profesaroan ko bheje, jinamean se ji. ech. hardi (G.H.HARDY) ne ramanujan ke kam ki tariph ki aur apane adhin adhyayan ke lie unhean kaianbrij bulaya. ye patr hardi ko subah nashte ke tebal par mile. is patr mean kisi anajan bharatiy dvara bahut sare bina utpatti ke pramey likhe the, jinamean se kee pramey hardi dekh chuke the. pahali bar dekhane par hardi ko laga ki ramanujan ki 10 pannoan vali ganit ke 10 sootroan se bhari chiththi sab bakavas hai. unhoanne is patr ko ek taraph rakh diya aur apane karyoan mean lag ge parantu is patr ki vajah se unaka man ashaant tha. is patr mean bahut sare aise pramey the jo unhoanne n kabhi dekhe aur n soche the. unhean bar-bar yah lag raha tha ki yah vyakti (ramanujan) ya to dhokhebaj hai ya phir ganit ka bahut b da vidvan. rat ko 9 baje hardi ne apane ek shishy litilavud ke sath ek bar phir in prameyoan ko dekha aur adhi rat tak ve log samajh gaye ki ramanujan koee dhokhebaj nahian balki ganit ke bahut b de vidvan haian, 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 mean aur janakari jutane tatha agar sambhav ho, unhean kaimbrij bulane ke lie tatpar ho uthate haian. hardi ka yah nirnay ek aisa nirnay tha jisane n keval unaki aur unake dostoan ki balki poore ganit-itihas ki hi dhara badal dali.

briten yatra

[[chitr:RAMANUJAN STAMP.jpg|bharatiy dak tikat mean ramanujan|thumb|300px]] kuchh vyaktigat karanoan aur dhan ki kami ke karan ramanujan ne profesar hardi ke kaianbrij ke amantran ko asvikar kar diya. profesar hardi ko isase nirasha huee lekin unhoanne kisi bhi tarah se ramanujan ko vahaan bulane ka nishchay kiya. isi samay sanh 1913 mean hardi ke patr ke adhar par ramanujan ko madras vishvavidyalay mean 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 lanbe patravyavahar ke bad dhire-dhire profesar hardi ne ramanujan ko kaianbrij ane ke lie sahamat kar liya. profesar hardi ke prayasoan se ramanujan ko kaianbrij jane ke lie arthik sahayata bhi mil gee. ramanujan ne ianglaind jane ke pahale ganit ke qarib 3000 se bhi adhik naye sootroan ko apani notabuk mean likha tha. 17 march 1914 mean hardi ne ramanujan ke lie kembrij ke triniti k aaulej ane ki vyavastha ki. is prakar ramanujan briten ke lie jalayan se ravana ho gaye the. ramanujan ne landan ki dharati par qadam rakha. vahaan profesar hardi ne unake lie pahale se vvavastha ki huee thi atah inhean koee vishesh pareshani nahian huee. ianglaind mean ramanujan ko bas tho di pareshani thi aur isaka karan tha unaka sharmila, shaant svabhav aur shuddh satvik jivanacharya. phir silasila shuroo hua unake samman v puraskar ka. ramanujan ne ganit mean jo kuchh bhi kiya tha vo sab apane bal par kiya tha. ramanujan ko ganit ki kuchh shakhaoan ka bilakul bhi jnan nahian tha par kuchh kshetroan mean unaka koee sani nahian tha isalie hardi ne ramanujan ko padhane ka jimma svayan liya. svayan hardi ne is bat ko svikar kiya ki jitana unhoanne ramanujan ko sikhaya usase kahian zyada ramanujan ne unhean sikhaya. unhoanne profesar hardi ke sath mil kar uchchakoti ke shodhapatr prakashit kie. sanh 1916 mean apane ek vishesh shodh ke karan inhean kaianbrij vishvavidyalay dvara bi.es.si. ki upadhi bhi mili.

r aauyal sosaiti ki sadasyata

ramanujan aur hardi ke karyoan ne shuroo se hi mahattvapoorn parinam diye. yadyapi sanh 1917 se hi ramanujan bimar rahane lage the aur adhikaansh samay bistar par hi rahate the. ramanujan ka janm brahman kul mean hua tha. vah dharm-karm ko manate the aur k daee se unaka palan karate the. ramanujan shakahari the aur yuddhagrast ianglaind mean rahate samay vah adhikaanshatah apana bhojan svayan pakate the. ianglaind ki k di sardi aur us par k da parishram. phalasvaroop ramanujan ka svasthy kharab rahane laga aur unamean tapedik (kshay rog) ke lakshan dikhaee dene lage, to unhean aspatal mean bharti kar diya gaya. us samay kshay rog ki koee dava nahian hoti thi aur rogi ko senetoriyam me rahana p data tha. ramanujan ko bhi kuchh dinoan tak vahaan rahana p da. vahaan is samay bhi yah ganit ke sootroan mean nee nee kalpanaean kiya karate the. idhar unake lekh uchchakoti ki patrikaoan mean prakashit hone lage the. sanh 1918 mean, ek hi varsh mean ramanujan ko kaimbrij philos aauphikal sosayati, r aauyal sosayati tatha triniti k aaulej, kaimbrij tinoan ka phelo chun gaya. aise samay mean jab bharat gulami mean ji raha tha tab ek ashvet vyakti ko r aauyal sosaiti ki sadasyata milana ek bahut b di bat thi. r aauyal sosaiti ke poore itihas mean inase kam ayu ka koee sadasy aj tak nahian hua hai. poore bharat mean unake shubhachiantakoan ne utsav manaya aur sabhaean ki. r aauyal sosaiti ki sadasyata ke bad yah triniti k aaulej ki pheloship pane vale pahale bharatiy bhi bane. isase ramanujan ka utsah aur bhi adhik badha aur vah khojakary mean 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 aant mean d aauktaroan ki salah par unhean sanh 1919 mean vapas bharat lautana p da. bharat ane par inhean madras vishvavidyalay mean pradhyapak ki naukari mil gee. aur ramanujan adhyapan aur shodh kary mean punah ram ge.

ramanujan ki shodh aur karyashaili

ramanujan aur inake dvara kie ge adhikaansh kary abhi bhi vaijnanikoan ke lie aboojh paheli bane hue haian. ek bahut hi samany parivar mean janm le kar poore vishv ko ashcharyachakit karane ki apani is yatra mean inhoanne bharat ko apoorv gaurav pradan kiya. inaka unaka vah purana rajistar jis par ve apane pramey aur sootroan ko likha karate the 1976 mean achanak triniti k aaulej ke pustakalay mean mila. qarib ek sau pannoan ka yah rajistar aj bhi vaijnanikoan ke lie ek paheli bana hua hai. is rajistar ko bad mean ramanujan ki not buk ke nam se jana gaya. muanbee ke tata moolabhoot anusandhan sansthan dvara isaka prakashan bhi kiya gaya hai. ramanujan ke shodhoan ki tarah unake ganit mean 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 mean bhi ganit ke prashn hal kar rahe hoan. ramanujan ke nam ke sath hi unaki kuladevi ka bhi nam liya jata hai. inhoanne shoony aur anant ko hamesha dhyan mean rakha aur isake aantarsambandhoan ko samajhane ke lie ganit ke sootroan ka sahara liya. ramanujan ke kary karane ki ek visheshata thi. pahale ve ganit ka koee naya sootr ya prameany pahale likh dete the lekin usaki upapatti par utana dhyan nahian dete the. isake bare mean poochhe jane par ve kahate the ki yah sootr unhean namagiri devi ki kripa se prapt hue haian. ramanujan ka adhyatm ke prati vishvas itana gahara tha ki ve apane ganit ke kshetr mean kiye ge kisi bhi kary ko adhyatm ka hi ek aang manate the. ve dharm aur adhyatm mean keval vishvas hi nahian rakhate the balki use tarkik roop se prastut bhi karate the. ve kahate the ki mere lie ganit ke us sootr ka koee matalab nahian hai jisase mujhe adhyatmik vichar n milate hoan.

ramanujan ke pharmoole

200px|ramanujan ke pharmoole

ramanujan ke pharmoole

200px|ramanujan ke pharmoole

ramanujan ke pharmoole

200px|ramanujan ke pharmoole

ramanujan ke pharmoole

bharat agaman

bharat lautane par bhi svasthy ne inaka sath nahian diya aur halat ganbhir hoti ja rahi thi. is bimari ki dasha mean bhi inhoanne m aauk thita phankshan par ek uchch stariy shodhapatr likha. ramanujan dvara pratipadit is phalan ka upayog ganit hi nahian balki chikitsavijnan mean kaiansar ko samajhane ke lie bhi kiya jata hai. ramanujan ki ganitiy sootroan ko nikalane ki vidhiyaan itani jatil hoti thian ki ganit ki patrikaean bhi unhean jyoan ki tyoan prakashit karane mean asamarth hoti thian. baran aauli sankhyaoan par unaka pahala risarch pepar jo iandiyan maithemaitik sosaiti mean 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 ganitajn the. ek bahut hi prasiddh ghatana hai. jab ramanujan aspatal mean bharti the to d aau. hardi unhean dekhane ae. d aau. hardi jis taiksi mean ae the usaka nan. tha 1729 . yah sankhya d aau. hardi ko ashubh lagi kyoanki 1729 = 7 x 13 x 19 aur ianglaind ke log 13 ko ek ashubh sankhya manate haian. parantu ramanujan ne kaha ki yah to ek adbhut sankhya hai. yah vah sabase chhoti sankhya hai, jise ham do ghan sankhyaoan ke jo d se do tarike mean vyakt kar sakate haian.

1729 = 123 + 13
1729 = 103 + 93

ilin aauy vishvavidyalay ke ganit ke profesar broos si. barnadt ne ramanujan ki tin pustakoan par 20 varshoan tak shodh kiya aur is shodh ka nishkarsh paanch pustakoan ke sankalan ke roop mean prakashit hua hai. broos si. banodt kahate haian, "mujhe yah sahi nahian lagata jab log ramanujan ki ganitiy pratibha ko kisi daiviy ya adhyatmik shakti se jo d kar dekhate haian. yah manyata thik nahian hai. unhoanne b di savadhani se apane shodh nishkarshoan ko apani pustikaoan mean darj kiya hai." sanh 1903 se 1914 ke bich, kaimbrij jane se pahale ramanujan apani pustikaoan mean 3,542 pramey likh chuke the. unhoanne zyadatar apane nishkarsh hi die the, unaki utpatti nahian di. shayad isalie ki ve kagaz kharidanean mean saksham nahian the aur ve apana kary pahale slet par karate the. bad mean bina upapatti die use pustika mean likh lete the.

sanh 1967 mean profesar broos si. barnadt ko profesar ar. e. reankin ne 'tata ianstityoot aph phandameantal risarch bambe (mumbee)' dvara prakashit 'ramanujan not buks' dikhaee par us samay profesar barnadt ki is pustak mean koee ruchi nahian thi. sanh 1974 mean inhonean emil gr aausav aauld ke do patroan ko padha jinamean gr aausav aauld ne ramanujan ke kuchh prameyoan ki utpattiyaan di thian. profesar broos si. barnadt ko laga ki vah bhi ramanujan ke prameyoan ki utpattiyaan de sakate haian aur vah 'ramanujan not buks' ke bare mean janane ke lie utsuk ho ge. profesar barnadt priansatan vishvavidyalay ge aur vahaan se 'tata ianstityoot aph phandameantal risarch' dvara prakashit 'ramanujan not buks' ki ek prati le ae. yah dekhakar profesar barnadt romaanchit ho ge ki vah kuchh aur prameyoan ki utpatti dene mean saksham the parantu us pustak mean aise hajaroan pramey the jinaki utpatti ve nahian de sakate the aur is tarah profesar barnadt ne apana poora dhyan ramanujan ki pustakoan ke shodh mean laga diya.

ramanujan ke pramukh ganitiy karyoan mean ek hai kisi sankhya ke vibhajanoan ki sankhya jnat karane ke pharmoole ki khoj. udaharan ke lie sankhya 5 ke kul vibhajanoan ki sankhya 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 sankhya ke vibhajanoan ki sankhya jnat ki ja sakati hai. udaharan ke lie sankhya 200 ke kul vibhajan hote hai - 3972999029388, hal hi mean bhautik jagat ki nayi thyori ‘suparastriang thyori’ mean is pharmoole ka kafi upayog hua hai. ramanujan ne uchch ganit ke kshetroan jaise sankhya siddhant, iliptik phalan, haeeparajyomaitrik shreni ityadi mean anek mahattvapoorn khojean kian.

ramanujan ka aantim samay

sanh 1919 mean ianglaind se vapas ane ke pashchath ramanujan kodamandi gaanv mean rahane lage. ramanujan ka aantim 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 mean ganitiy vicharoan ki aandhi chal rahi ho. ramanujan svayan kahate the ki unake dvara likhe sabhi pramey unaki kul devi namagiri ki prerana haian. ianglaind ka mausam unhean ras nahian aya. inaka girata svasthy sabake lie chianta ka vishay ban gaya aur yahaan tak ki ab d aauktaroan ne bhi javab de diya tha. aant mean ramanujan ke vida ki gh di a hi gee. bharat lautane ke pashchath bhi unake svasth mean koee sudhar nahian hua aur 26 aprail 1920 ke pratah kal mean ve achet ho ge aur dopahar hote hote unhoanne pran tyag die. is samay mahaj 33 varsh ki alp ayu mean tapedik (tibi rog) se shrinivas ramanujan ka svargavas ho gaya. inaka asamay nidhan ganit jagat ke lie apooraniy kshati tha. poore desh videsh mean jisane bhi ramanujan ki mrityu ka samachar suna vahian stabdh ho gaya. ramanujan ki patni ka dehaant 80 ke dashak mean hua aur apane pati ki maut ke bad unhoanne ek beta god liya. aj bhi ganitajn ramanujan ki kshamataoan se hairan haian. ve unake dvara di gee kee prameyoan ko kampyootar ki madad se bhi nahian sulajha pate jinhean ramanujan ek kagaz aur peansil ki madad se hal karate the. unhoanne ganit ke kshetr mean kafi khyati arjit ki thi. anek ganitajnoan ne apane patroan aur lekhoan mean unake bare mean likha hai aur un par kee pustakoan ka prakashan kiya gaya hai.

panne ki pragati avastha

adhar

prarambhik

madhyamik

poornata

shodh

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sanbandhit lekh

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