Journey through genius - Math Sciences Computing Facility PDF
Preview Journey through genius - Math Sciences Computing Facility
Journey Through Genius THE REA THEOREMS G T OFMA THEMATICS THE SCIEENDCIET IONS • WILEY TehS eafrroExc thrt aerrIenslttlenrici,gbea eyTl h omaMsc DRno.o ugh SevIednet ahSsaoh tot khU eni vseebr,yB ryaAnn derasnoNdan t han D. Splibeerg SapcTeeh:N exTtwe ny-tFYiev,abe rsyT homRa.Ms c Dnoough CloiuandG sl aofBss e,eb yrC ariBgo hren TehC ompBloeootfHke o logbryJa omsse,ph aKnaSdts epvFeeren l ler ThSec itifieCcno pmanoinb,yC esaErmei liani StrasialibynL g,ou Firsdi mean MirMratotr,be yRr obeFrowtra radn Jdo eDalv is Grvayi'tLsne sb,yN athCaonh en Teh aBueotyfL g ihbtyB, e Bno va CgoneirzNseu:r Naetlw osar nkMdac hitnhteTa sih nbkyC, o lin Jonhsoann Cdha ppBerlolw n IvnetniRneglay iP:tyh sicLsa nagsub yaB grueGc,re e gory PalneBytseo nDdi:s cotvhOeeure itSrno glS ayrsb tyeM amr,Lki ttmann ThSet aRroryob myF, r eSdhc aaf SerdeipyniA:tc dceinDtiaslc oivnSe cerini,cbe yeRs o ystRoonb eMr.t s TehA otmcSi ctiieAsnB tisop:gh riHaciarysl,tb yoH enrByo soerL,l oyd Motazn,Jd e effrsWoena ver ThSet arflHiagnhdtbA Po oionke's:Ge uritdIoen stteerTlrvla,eab lry EugeMnaelv leao nGdr egMoartyl off ANAOLGE ssaoynSs C cieee,ndi btyeS adtn lSecyh midt LveitaTtriianansngK d am ikGaezneTe cesh:lng qoicLteairlya f roct he byR iacrhPd.B rennan 1990s, CriLmaeTb h:Ne ew S ceinocfCe ir miInvnaseltt iigboayJn o,n Zonderman Journey Genius Through THE GREATTHE OREMS OFM ATHEMATICS WILLIAM DUNHAM WILEY SCIEENDCIET IONS WILEY JOHN SONISN,C . WILEY & NEWYORK• CHICHES·T BERRISB·A NTEORONT,OS INGAPORE Thisb ooikds e dictaomt yeM do thaenrdm y F ather. Copyrigh1t9 90b yJ ohn WileSyo nsI,n c. © & Allri ghrtess ervePdu.b lisshiemdu ltaneionuC salnya da. Reproductoirto rna nslaotfai noynp arotf t hiwso rkb eyontdh apte rmitted bys ecti1o0n7o r1 08o ft he1 976U niteSdt atCeosp yriAgchttw ithotuhte permissoifot nh ec opyriogwhnte irs u nlawfRuelq.u esftospr e rmission orf urthienrf ormatsihoonu lbde a ddressteotd h eP ermissDieopna rtment, JohnW iley SonsI,n c. & Ubrary ofC onresgsca taloging-In-PubDaUtaca tion DunhamW,i llia1m9,4 7- Journtehyr ouggehn iutsh:eg reatth eoreomfsm athematiWcisl liDaumn ham. I cm. p. Includbeisb liograrpehfiecraeln (cpe2.s8 7). 1.M athematics-His2t.Mo artyh.e maticians-Biography. Title. 1. QA21.D781 990 510'.9-dc20 89-27366 CIP Printientd h eU niteSdt atoefsA merica Prfeace Inh iasu torbaipoBhgeytr,r aRnudsl srlee claetldh cer iosfhi iysso uth: I Therwea sa f ootplaetahd iacnrgo fiselsd tso N ewS otuhga,t eanuds eItd o got hearleo nteow atch stuhnesa entdc ontempsluaitce.i dIe ndo,ith do w everc,o mmistu ic,ib deecauIsw ei shteodk nowm oreo fm athematics. Admidtltfyee,w pefionspdul ceah b soslaultveia nmt aitohnte im,ca s bumta nayp pcraietiet s paon,wd emrco rrielt yii,tcb sae la_uT thyiboso k idse sigfnotreh do wsheow oludlk iet op roabb ei mto rdee eply into thleo nagng dl orhiiosyuto sofm r athaetmics_ Fodri sicenisap sdl ivearsls eiertu ar,tme usiacn,ad r, tt heiraset ra ditoifeo xnma inimnags tieercpes"-rgtehnaeote v sl,t"h" erg esaytm phon,i"teh s"erg epata inst"i-natgshfi et taensdt miolslitaun tming objeocfst tsu Bdoyo.ak rswe r itatnecdno urasrteeas u ognhp tr ecisely thetspoei cosr ditenoar c quuaswi intth osfto hmceer eamtieilsvteo nes oft hdei sciapnlwdii tnthehm ee na nwdo mewnh op orductehde m. Thep resbeonotok ff earnsa naloagpopursot aomc ahte hmtai,c s wherec rtehaeut niiivnsteo t thoer s ynmopvhebolun ttyh ,te h eeomr. Consequetnhitinslso y at,t y pimcatabhlo oiknt h iadtto ensop tr ovide as teyp--sbdteeevpol pmeonfst o mber anocfth hs eu btjN-eocdro es it strtehsaespp laiblciyio tfm athemaitndi ectmsein rinpgl aanreoybtr i,t s v JOUNREYT HROUGGHE NIUS vi• inu nderasntdgit nhweor lodfc opmutseo,rr f,ot rh maatt tienbr a,l anc ign ycohuerb cokoMka.t hateimocfcs o,u ,rh sabese esnp ectascuuclarly cefsusilns ucahpp liuendde rntga.sBk uiitwt a ns otw oilrtdsul tlyii ty thatE ulceoldriA drhc imeodreG seo rCgan totrod evostome uc ho f theeinrreg ayn gde ntioum sa theimc.Tas hteisdnei vailddsui ndo ftee l comlpleteodj ustthiefywi orrw ki tuhti itlaarpipalni caantmyio ornes thaSnah kespheaatdro ae p olofgowirriz tei lnogvs eo nniesnttseo afd cobookookrVs a Gn oghha tdoa polofgoirz ep acianntviiannsgse tse ad ofb illboa.r ds Int hbioso sk haIe lpxollr aeh andofftu hle immpoosrtt parnoto fs antdh meo sitn genliooguiasrc mgaeuln trso-mtf hhesi toorfmy at he matiwcitsh,e mphiaossn w hy tthhoeer ewmesr sei ganniatfin chdo w thmea theimcairtaense odlo,vn ce foaarnl tdlh p,er eslsoigniigscu sael. Eacchh apotJfe ornrue yTrh ouGgehn hiatushs r pereir myca ompon:e nts The fiirsthtsi siatsleo m rpishciaTsh.e" rgeatth eo"ro enmt she pagaehse sapda mno rteh a2n03 0y eaorfhs u mahni storyd.i sBefore cussapi antrgi crru ellsatIus ,ah lslet ths ec ebnyde e scrtihbseit naogtf e mathteim,aca nspder hatphsse t attehw eoor flg de nerparlitlootyr h, e theoLrieeekm v.e trhyienlgsm eat,h eimciascst r eawtihetidtn h ceo ntext ofhs itoarnyid,it os f it nerteos tp Claarcde'a ssno oluotfti hocenu bic twyoe aarfstt ehpreu baltiiocofCn o peursnh'iescol cientthreyiao cnr d two ybeeafrtoshrd eee aotfEh n gnldaH'esny V rIIIo,rt oe mphiaztseh e impactth Reoe fs ttoirouanp oCnam briUdngiev ewrhseianty yo ung schonlaamreI adsa Nce wton einittn1 e r6.e6d 1 Thsee cocnopdmo neintsth be ig ropahiMcaatlha.et miicss p trhoed ucotfr aelfl,e sh-anhdu-mbablneo giosnwd h oslveie msa yr efltehcet insatpiior,tn hatelrg aiocr,t hbezi ar.Tr hee otrheecmosn tahienreed repretshweeon rtok fa n umboefir n vdiuida,lr sagninfgro tmhg er egar iouLse ohnarEdu lteotr h peu gnaJcoiahonuBnse n rolultiot hmaots t worldolfRy e naiscshaanrrca,seGc etrleoamCoar da.nU ondsetranding soemthoiftn hgle vi eosf tdhievseierdn siievd ucaalonsn leyna hncaen apepcrtiiaooftn h iewro r.k Thfien aclop moneanntd, p trhiemf aorcyou fts h beo oikts,h e cre ativiidteyin ntte h ve"smaet heimcamatals ptieer.cJ"eu sassto nceo lud nohto pteou ndersatg arneda tw itnhoovrueetla diitonr,g a tpoep icrate ag repaati nwtiitnhgso euetii ntsg,oo ncea nnraoeltcl oym teog rips witagh r emaatt heimctaahtle owrietmh aoc uatur elsf,t beyp--sltoeopk att hper oToofa .c iqerus ucahnu ndsetranrdeiqnugai g roeobsdi o tf conncteiroaantn edff oarnttd,h ceah ptteofr losol wa rmee atnots r eve asag uiidnte h uandte trankgi. Theiraser emarkpaembralnee nacbeot uhte msaet heimclaaatln d mar.kI sno thdeirs Citphlfeia ndoesfts o,db aecyo mteh fero gotdtiesn carodfts o morArl toitwol.v eea cr e nyta ug,rSo iWra lStceorwt aatsm ong thmeo sets teewmrietsdei rnE ngliltsieahrt u;tr oed,ha eyi sr egarded PREAFCE. vii consaibdlleyer esnst hsuctsaiilIalny .tt wehnet iceetnhts uurpsyet,ra rs comaen d wgiotb hr eathstpaekaeindnid,ged atsh saete dme sttion ed chantghweeo r lodf teennud p o nt hien ltlceetusaclrh aepa. p Mahtemtai,tc obs es u,ri easl ssuob jteocc hta nogfte as.s teBtuhte a orecmo,r rpercotvlweyid t thhisene vceoren storfla oigniitascst , h eo refmo rreE.vu ecdl'pisr oooftf h Pyteh agortehaenof rreomm has 30B0.C . lsonto noefi tbse ayuo trv laidittyh pewa istsohaft g ie.mB eyc onsttr,a thaes otnromailtc heoorrmi eedsi pcratalic coefAs l aenxdrGiraene ce havleo nsgi nbceec oamrecC hs,agl ihitalmyu seixnaglm eposfp ritmiive scie.Tn hcneeni ete-eecnnttyhmu artmhaectiiHaenmr anHna neksl aiitd be:s t Inm osstc ienocneesg enaetriotne adrosw nw haatn othhearsb uitl,a nd whaotn eh ase stlaibshaendo thuenrd o.eI snm atheatmiaclso neea cghe n erataidodnas n ews totroyt hoel sdt ruec.t ur Int hsiesn asswe e,e xaimnteh tei memlaetshse moafgt riemcaashtt e mati,cw ieac nosmteou ndsetraOnlvdie Hre vais'iwdsoe nduellryaf pt obrsveiaot"noL:g icacbn ep aetnifto,ir it es t e.r"na l An umboeffra cthoarvgseo nien tthose e lteiocofnt hefseetw h eo remtsor epretshbeeen sottf m athteim.Aca ssn oetdm,y c hiceosfni d eratiotnofi nwadar msge utnts hwaetr peat riacruillnyS tifgouhrli nge niuosT.hi so,fc ou,ri stneruocdeasne leenmotfp esrontaal,s a tneId recogtnhiadztffie e ar aeunttrwh ooludc earitngleyna etared iffelriesntt ofg retahte o.rT ehmtaas si,id tei sa ne xtraoerdxipnearrityeo n ce behlodfi,rth s-an,td hmea thteimcagilaindt ihnrgoc ulvgeehdr e ductions anmda kitnhsgee emiinnogcmlpeyrh ensbiebcloceml ee Iahtra b.se en satihdta ta liedsno iten sagi wlhyao tt hsfie nrddi fficbuulttth g,a te nius isdo ienags wihlaoytt hsfie nridm opsslieAb.sw ilble e ivdetnhtee,i r s muchg endiiulssap yoentd h pea gaehse .Ha edrea rgee nucilnaes sics thMeo nLsaia osrH almeotfms a thecm.sa ti Buott hceorn sideirnafltuietonhncceseh doo iftc hee eomrsF.oo rn ,e I watnoti endce ls uadmpflreohsmi stslo erayd'miahntemga tni.scI ita waasm usfto,ir n scteat,noh avsee lteicofnrsoE mu clAirdichm,de e,s Newt,o naEnudl Teoor ve.r lsouockfih ug rweoslu db elk ies tudayritn g hisytw oirthmoeuntt iothnweio nrogkfR emabnrdotrC enzna.e Futrhefrot,rh e osfva akrei Ihe atvyse,a mpdlieffde brrecanhnteo sf mathtecim.sTa hep roposiintt hibeoo nosck o mfer otmh ree alomfs plagneeoe mtragyle,b ,nr uambtehre oarnyas,li,a ys ntdh teh eyoo fsr est. The vaorfi ettthypoe isceas n,d otchsceia olnianlak nsdi t nerypsl a amonteghm m,a ayd adn otoeff rsehnteost shw iosr k. Ia lwsaon tteopd r esiepmnotar ntmta themtahteieocm,rasr la ther thamne recllvyeel ri tttcrslkio erp uzz.Il dneesemdo,so tft hrese usli tn thbeo oekti herrel svoeldo nsgtd-ainnpgr lobemisnm athecm,soa rt i JOURNEY THROUGHG ENIUS viii• genaetreedv emno rper ofoquuneds tfiotorhn festu u,ro erb o.tA htt he issrauiesb eyd endo fe acchh aptiesar nE piloguuseu,a aldldyr esasni ng the tghreeeoamart n fdlo lwionigat si e tc ohedso wtnh rotuhghehi story ofm athteimcas. Thetnh eirtseh qeu esotfilv oeelno fd ifficyu.Ol bitvousmaltyh,e maitchssa m angyr elaatn dmwahroksse adnecdpo tpmhl eyxr ietnder theimcn omphreenstioab lblluee t x pte.sIr wto lubde f oloitsoih n cel ud sucrhel sstui nabo oka imaettdh gee nae,lsr citeinfilclyta iealrtree eard. Thteh eeomrtsh falotol wr eiqeruo nytl hteo oolfas l geabngrdea o m,e try oft he soarctq uoiinnref e eashw i gshc hocooslue rTsh.te w eocx ep tioanraseb riuesofef t hsei ncuer fvreot mr igoniondm iestcruys sing thweo rokfE ulienCr ha pt9ea rna dna plpaitcioofen l eenmtianrtye gral callcuiusnt hweo rokfN ewtionCn ha pt7em;ra nrye admearays le rady be acquwaitithnh tetesodep , ai ncfdso trh owsheoa rneo t, itasbh ietr e ofe xplantaost mioooontv het rhd ei ffilctuy. Is housltdrt ehstasht ii nsso ats chotloamr.Tel hye arrece e ritnya l questoifgo rnesma att heimcaoatrlh istosruibectttaylhl ac ta nnboet adedsrsienadw orokf thiWshi lkIhei a nvtdeer. di t oa voiindc luding falosrhe i stoirniacrcaaclmtulaeeyt r ,it ahlwiasss i mnpolty ttihmneeo r platcoie n vesatliflga acotefaet ls il su seTsh.ib so oakf,ta elirlms ,e ant fotrh peo pluanro,t stchifieec np,tr ie.s s Alotnhge lsien Ie sm,au dsadtw oradb outa utthheie tnytt ihocef pro.oI fnps repatrhbieno goI kh ,a vfeo uinitdm psoisbtloae v otihde needs ofmocero mpromiset habeue tth'woo erreisngn ionttaialot ne,r minooglya,nl do gistcraalat netdgh ryee iqerumetnhtta htme a theimat camla treibaeul n dsetrabnldteaot hmeo derrena dAce orm:lp eatdeh er encteot hoer igwionluadml ask seo moeft herseelss tvu erdyi ffictuol t comphreenydea;tS ifigcnaidneitva tfirootnmh o er ilgwsio nluadco niflct witmhyh istoorbijvceeacsIlt.ng i enae,lr hIa vter iteord e tVaiiurnat lly alolft hsep iarniadtg ,o obdio tft hdeea tiolft, h oer igtihonerael.m s Thmeo dificIa thiiaonvntesrc oesddeu etmom et ob en om orsee uriso, thasna,pye ,r foMrmozianorgntm odeirsnnt rusm.e nt Ansd ow,ea raeb otuobt e goiunjr uo nretyh rotuwgmohi elnlnoifa matheimclaaatln dm.Ta hrekrsseels tuosla,dst haery,re etaaf eirsnh ness anddi syp slapa airgnkv lirtueovseainft tsyeom r a ncye unrtiIeh so.p e thtahtre e awdileblre a bltoeu ndsetratnhdep sreo aonftdsor eciozgen what tmhaedgmer e.Fa ottrh ose whoi nts huviencstc ue,re eedIx pect theew rilble n ootn lasy e nsaew teoh fca otm ferso amp pcraietitnhge greatonfoe tshseb ruastl ,as s oe nosfpe e rssoantailis otfnha oacnttce a n, inedecdo,m ephretnhdwe o rokfasm as.t er W.D unham ComlbuusO,hi o Acknowledgments Ia m indteoabn tuemdbo efar g enacniiden sd ivfiodtruh aelisr efforts onm yb ehianl fpt rheep aroaftt hbiiooson Fk i.rI ms uts,at c knowledge grafnrtosbm o tthhp er ivatthepe ub alnsidcec t otrhswa etr ievn laubale: a1 893S ummSetri pfernotdmh L eiy El nldomwenItcn,.a n,d ftnuhdei ng ofa1 898S ummSeerm airtn it"lTheeGd re aTth eoroefMm ast hematics inH sitorCionctaelbx ytt "hN ea tiEonnodawlm efnottr h Heum ani.t ies Thseu ptpo ofLr iylE lndowmeanntNd E Ha lwleodm yp reovuisulnyf o· cusiendt eirnte hhseti syto ofmr athemtaott aiskches a ipnteh feo romf courastHe asn oCvoellre ganeOd h iSot a. te ToT heO hiSot aUtnei vearnspdia ttriylc,au rtloiy tD se aprtmoefn t MathteimgCaoSm ,ys inctehraefn oktrsh ewiarrh mo spiitwtyhia llaesa, vsiitfiancgum letmyb ientr h emiird Isw ta,ws r ititnhbgio so Iks .h all alawyasp pcriteaet hkei ndonfeD sespr atmeCnhtaJ iors eFpehra rnadr oft hLee itJzoealansn J-di mw-how eruena fiinlghleylu plaf nsdu p portdiuvrei ng myv it.sw iot-year Maniyn divaildscuooan ltsr itbotu htwieosrd kT .h angkots oR uth Eavn,ms yf arvioltbierr ai,aw nhoi tnrocdeumde t ot hceo ltlieoocnfs per1-090m athemdaotciucnmatdelsu rimyn1 g89 0s abtbaiaclt;oS teven ix
Description:The list of books you might like
