rUo}sRy vhrcjßlïÍX (Laws of Motion) Lm]A Clc\YfShldsÙ eh akS'MÍX]kA iqjsfxjujØ dlH]khcjsRy -ijG.lisÙ]kyjØ\ T'kA Clc\YfShldÙ\ fG]ÍX rjhijhkÞ\; stc]\ rUo}rkA hJ>jrjm\ckA QgkSelsh TO znjfClc\YfClDuksm ejf{fIÙjr\ LidlCilpA K'ujØj}ksÞæjhkA Sdgx]gujhln\ dlH]khc\ cjßlïA ejyijsdlÞsf'fjr\ ijCIlcUalu sfxjikdX KÞ\; ahulxjdX]\ LPjdA LyjulÙ TO g<cUA rÑksm >kßjegalu Lhcfsu Qgxikisg fky'kdl}k'fln\;
znjfClc\YfÙjhkA SwUlfjClc\YfÙjhkA ahulxjdX i<jØ eæjsr]kyjØ\ rjhijhkxx -Pjdlgjd SgDdX sd;ij;CGÑuksm ekc¹dÍxlný; Ydjc\fkukzA 1300%1600 dlhZ}ÙjH f{CoG wjÓujsh TgjÎlh]km]k (cAzYzlaA) caJeakxx YzlaÍxjH wJijØjgk' znjf%SwUlfjClc\Yf eéjfêlgln\ dlH]khc\ cjßlïÙjsRy -pU YeSulíl]X; alPirln\ TO vjïlcgnjuksm ëledR;
alPisRy YePlr cA.lirdX flsq eyuk'iuln\:
- Infinite series for Arctan and Sin
- Methods for calculating the circumference of the circle
- Cauchy test of convergence
- Differentiation and integration term by term
- The theorem which proposed that the area under a curve is its integral
SwUlfjClc\YfÙjH -gU.mR vjïdSxlmlujgk'k alPir\ aaf; Ydjc\fkukzA rlhlA roMlÞjH fs' SwUlfjClc\YfÙjhPj,\_jfalu iggkvjuksm YzçA SdgxÙjH YevlgÙjhkÞlujgk'k; t'lH TO Clc\YfClDujH rjGnludalu eh dÞkejmkÙÍxkA rmÙjuf\ alPirlujgk'k;
efjsr}lA roMlÞjsRy -pUdlhZ}Aisg alPisRyukA Cj,UgksmukA vjïlPlgdxln\ SwUlfjClc\Yf%znjfClc\Yf ShldsÙ rujØjgk'f\; alPisRy eh cjßlïÍsxukA -c\epal]j Cj,UG rmÙju e_rÍsx LPjdgjØ\ roykdn]jr\ znjfClc\YfYzçÍX T]lhÙ\ ejyij sdlÞjgk'k;
egSaCIgR (1360%1455)" rjgJînÍsx -c\epal]jukxx SwUlfjClc\Yfe_rÙjsRy znjfgoealu Ypjdý%znjfÙjsð Keôlflilu egSaCIgR alPisRy Cj,Urln\; Yz<Íxksm vhrsÙ -c\epal]j e_rÍX rmÙjuj}kxx TSÔ<A akÌSflxA YzçÍxksm dGÙliln\;
TO egÝgujsh aMk ClYc¹ôG Tiglný:
plSalpgR (1410%1510)" egSaCIgsRy adrkA Cj,Urkalu plSalpgsRy cA.lirdsx]kyjØ\ eh YzçÍxjhkA Yefjelpj]sÌ}j}kÞ\;
rJhdn\_ Sclaulwj (1444%1545)" plSalpgsRy Cj,Urlu rJhdn\_ Sclaulwj *fYïcAYz<*ukXsÌsm rjgiPj YzçÍxksm gvujfliln\; -gU.mJuÙjsRy ijignaln\ TSÔ<ÙjsRy d{fjdxjH YePlrA; Yz<Ísx]kyjØ\ L]lhÙ\ h.Ualu KedgnÍX KeSulzjØkxx e_rÙjrkxx covjd rHdk' *Yz<egJf\cldGÑ*uln\ rJhdn\_ Sclaulwjuksm asMlgk YePlr d{fj;
Sw,\_SpiR (1500%1610)" plSalpgsRy asMlgk Cj,Urlu TSÔ<A dlH]khc\ cjßlïÙjH LPj,\_jfalu -pU e_rYzçalu *ukíj.l,*uksm gvujfliln\;
LvUkf ej,lgmj(1550%1621)" Sw,\_SpisRy Cj,Urlu TSÔ<A[ *c\EkmrjGnuA* *gcj%Szlx%c\Ekm%rJfj* t' d{fUdxksm gvujfliln\; *
*rlglunJu*ÙjsRy gvujflilu Sah\eÙoG .}fjgjÌlm\ znjf iUldgnÙjH LYzznUrlujgk'k; LSÔ<Ùjsð cA.lirdSxlmkdomj alPisRy vjïlPlguksm ejïkmGØ]\ egjcale\fj dkyjØfluj dlnlR dqjukA; znjfClYc¹Ùjr\ - egÝgujhkÒiG rHdju cA.lirdX LfkhUalujgk'k; TO dlhuxijsh eh e_rYzçÍxksmukA SegjH -Pjdlgjdf]luj *SdgxA* t'k SvGÙjgk'fkfs' rÑksm Clc\Yfôgksm cA.lir Yedmal]k' ic\fkfuln\;
dlH]khc\ cjßlïsÙ]kyjØkxx -pUd{fjulu Sw,\_SpisRy *ukíj.l,* gvj]sÌ}j}kxxf\ ahulxÙjhln\; zpUgoeÙjhkxx TO YzçA ekglfrClDujsh Liclr gvrululn\ ijhujgkÙsÌmk'f\; znjfClc\YfÙjsh YelFajd ijigÍX]luj YzçÙjsh -pU rlhk LPUluÍX rJ]jiØjgj]k'k; LùlA LPUluÙjH dhÞykdsx Lmjëlral]jukxx vjh znrÍxln\; ax-by=c t' caildUÙjr\ egj<lgikA TO LPUluÙjH dlnlA; i{ÙÙjsRy vkMxijsr]kyjØkxx -ylA LPUlualn\ YePlr ij,uÙjSh]\ dm]k'f\;
ijSpC LPjrjSiCSÙlsm znjfClc\YfÙjsRy SdgxÙjsRy cA.lirdX dkyÎk fkmÍjufluln\ e_rÍX sfxjuj]k'f\; ahulxcl<jfUÙjsð fkm]ikA eéjfêlglu wcUo}\ elfjgjalgksm igikA TO dlhZ}Ùjhln\; SdgxÙjH L'\ h.Ualu ijigÍX uoSylÌjSh]\ cAYdaj]lR ijSpCjdX dlgnaluj}kSÞl t' SvlpUÙjr\ iUíalu KÙgaj'jÓ; TïUukalukxx ilnjwU>áA fkmÍjuSflsmuln\ znjfSwUlfjClc\Yf SaDhdxjH uoSylÌjhkA Yedmalu alMÍX dÞ\ fkmÍjusf'\ .lije_rÍX sfxjujSØ]lA; znjfShldÙ\ SdgxÙjsRy cA.lirdX Lg]j}kyÌj]lR QgkeSî Ydjc\fJu c.lSgDdX]k dqjukalujgj]kA; EhÙjH ijSpC -PjefUÙjH fdG'fkA ay]sÌ}fkA znjfSaDhujH SdgxJuG rmÙju akS'MÍxln\; Yz<Ísx -c\epal]jukxx e_rA dlhYdaÙjH SwUlfj,Ùjrk iqjalyj; sd;ij;CGasuSÌlhkxx -Pkrjd vgjYfdlgRalG dsÞÙk'fkisg alPisRy cA.lirdX QlGauksm flxkdxjH SelhkA ëlrA ejmj]lfjgk'f\ ulp{øjdaldlA;