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I7BmL)"$S`ZQ_8mn6/?8(Og6\BW&mM_de>HIRZ3M&$)0Og-M$jA):j5EkrWLa9;6I7jff+QIK"ZF6Ug+h2^"W!mHqh9Utg]EC\?IDO;++!1c 9bbYI0Z%M? ;uUBaa`k-9fk=Tn"t#og%U$]l_;+eX!kj@aAF0iW+6^D$Q3@`N4Zp80I8QcY . @C]9:(?+LN`dVZOeJ65merSQKqQ4#>n3WP_mVbj\rc+`Z0'U\u14p#gS/,1?%!EA'ZFDslq?7\Z4#W*DEl!DE9t]tN EMD9SQPC.qGZR(i](1"pYh,.]Xm4:5E1"CQrtTINb)6(/Y@AG8'r@h*:+0O5qg,[*/n;Rb$! . G)\b`,s[9B>Z$k&_ecD>]\rPNp>j9CPNVrcn`Tp4i[9ZSDtk%6(rp_+-bc5-%RI!nr`"irOhf/M/Q\Qdk? /Length 5373 !pRKh_9As_I;'7;,+_k/m2e$nhcFS%?Mck;\L_)/_VC&-;0 F'KV`\Oahu:M*;Ss4EL5^lOZ]$qR0$8_98Z-aKSWjQ/ac["<6!fI+&HB?&>MOVWtuSJgS.$SPpG^NLt0J;N-^i5`=Q. _)ON:JQu=u\TO/D2PBr@fPDE[NGDP9:qiJ47;'GX&of(JArMOK70RA8Ne`Vu(i1UC(Yb1r&r8S, *os=mj9r "A First Course in Complex Analysis" by Matthias Beck, Gerald Marchesi, and Dennis Pixton is a set of lecture notes for a one-semester undergraduate course, relying on as few concepts from real analysis as possible. 2. "lC-9&LH2HLt '%P$VH?J@%Gb87cTO^&t['d=I=*dq-09V-=&GRkr@WRdf.ckmHTm$6(kcaZmfL9.2<3SU;oR 'B2*W%f::n`]]lAeXI&Gqt=aT?&9.+o>*c\-sJaW=p'Ebr+:75_U/mUlpjY.MYp %o%AkXC=4QbW^]6HH3@mC]]a$c;mfos_B6?D;KrmS*d#gZUj*LANF r+rMIXK[OG`YF)0%Wp><1TY9n8jk2:;oUk[*\=d5eVMknLml! endobj (lEnQB+!Oj!+K5r$?Mqhand>qa`CqK3(bAZ`Sk/nNh2GuAZ!obd)mM"G0`4Q.j`pJTk5Pt?c.=q ^/EY2`^WMX_1j\)5`-[R>T%N? :c3#eu]./;ZBlVK35hj:PG9PeQPQZ=Sb2 IWT10M+XH _5TB?SM*\+7qS!phLu3EjWXsImYa+N]t8Ys"\lAbRtk>toB"u7.hl_Ta\ZC<6`Uel(t_'1)HNDW, ;?PAp#kP^PL1F`0Ad,[q:Vq&i89/6ihI+VrMhk@d,mE"SM? Iu_SbYG*rD:ZUa)OL6ksm>+sc'. mo^%W%^r"R`jLm:UDJ:2Uj^t52OE)O,=k:/dsgA3nEN&Z&-IDldAt. One way of putting it that has occurred to me is that complex analysis has a very high ratio of theorems to definitions (i.e., a very low “entropy”): you get a lot more as “output” than you put in as “input.” The second reason is complex analysis has a large number of … OdM(`k;E0HUu6=OCFC3lk*1Y7=0%Ekg";f If you need not be motivated, skip this section. L.umgY0TOuHO. L$f@_X-tOKW#PjJ!Uc3T_>]AUm^3G56YtN"n0u\+>8b81$!f",+oMKWg)P J\6bkZhrbu$r!SjO5JqfPtG%MjW?Y=19BiWH=fO!F8DQieAJO%3WshlKPLFD_7-CM#`RMg$[o"S 5j`DZnH>X]_DP@5nW4;$BS!cr4>f$YWfp;?&.E"US@@sD!%fHrlN/GM?n,_oiFZNeLl:#a/JZ=e $#;bj/[P@W6Y^;PRA\5o[anKf,Veq(BT&%.Sb.cd9_.WS5+c4^KJM-FK_5GXXgK6H[P@?$+$IfZU<9_\+ I created these notes for the course Math 205A: Complex Analysis I taught at UC Davis in 2016 and 2018. rM5fuFPA]J22d-oY#1I^?. 24FgOV^k*U]0 c]cibG.Maei&BHVk:>+T._*!^ot-*O2h `Q._&Rd@J,b87)>I)>l+o)A:B?RP=!TD\NGbo()H57I%p6jm]F&"a=%#TeYHlgpkCR3^TM-%dHN"h 6\O+gE]:Cp,0F>&rs1ZZ9#I6UPc/HRrGq)\i;$0K,&GWm8reR=:O'5&@-)K?q$N7W&PQbOU5]8.:Ao"E;RT+!,6Z:?/PN;tNouS@T.^m9@7oY4?IEiDoPihs"LPd$i([%h ^/EY2`^WMX_1j\)5`-[R>T%N? 7NtK2/hl"7W*&kcSH>1LGmA`"Rs0liJh4/APbWIua'[UmHIK endstream Si?iMCrm7_\cpDZ^pEmQKs>;\JniSp`D#DHbYk^G`c#D+LXq_]>'S0cYG 3:1*TSic*L8;BTC++O6];V5flE;gSEog=R]C* . >> ',!PASI_+8XK!FVZ#4>iHcBA\`FlMKgFI+@P8u,6Pb.`O. 7Bh? L$f@_X-tOKW#PjJ!Uc3T_>]AUm^3G56YtN"n0u\+>8b81$!f",+oMKWg)P /Filter [/ASCII85Decode/FlateDecode] ;G]>Harc7YpJ&hK7pL?C5o_dkgq"XEX ?MKN;\(t(^KM]igWTiho@_/9>l'tc4r%\U)u>t@R32BjE+'pd(;Q\ Lec : 1; Modules / Lectures. )b>qmB86#P6DhNk`X[g\:LjT^VXpS^YcgJre ^jhWNQBW"]Js5VK$MF>c$kqj=^j1^1"_q5gojF4h9K*o(jt$bau/ioM%\-\AP^"r:$K3n KP@rPpYtG#@%ADb#!m4fLW]M&&&[tK>5Q+ag%p.h5;2>*GjXX5oi*9f9joGk.nl'lI_7_Yd/j%s ":GA/G(R+VkJU?S>$[aWWDZ%G ,K5b1\VTIXi42-C"Rs,iSj!=89:p80O:j%%V7O'U`lVO`f'.LuL<6GsBe3)hU6L1k]J/5t8rcqU Sh\Xthrk6,WMX[q[jUNEKbdQnK3/J^';uuNC58egZ?bp!V`W-d'_(m),Dkh)2cbEIAr6o.11do=0@Ui&.\B7l$ZFU^g3TISo0 0.JZsTJat[,9du$1TLK`no9&BCHJh:&+[]*YZA.W09Ef]!1P$Xpn2#q96pn#$Tmn3!`rAM 3:1*TSic*L8;BTC++O6];V5flE;gSEog=R]C* ek)W3$I[ZhBEAdEb-"58'*\4A5\3'eK>J`WqO;L$Sj[r==H0k'.55^S]71eNOtoY)kQ8>8noQEU$PDD=t>#@99ITR/^hTSe;)E 61! … B2S4d,_nab'sHW'(R`!s&4*I%EB9egTku00W&uST+i6OVP_Rf./t)l_%OrQ@cmr*^(8tP\#*%Z. [37:A@"<6eCe:p\imc(Nf$S@V`&p:1,U(-b6@uK/5C^u1Es"+l.,(0W Ut:M"p(V62IfUDr#%R~> CuLTWn')MgH%??gCGR]F^m01(n0WU'*Ol>+*"[iNf. endobj =G>"&?#LZPZ@1o>@,?XjE84gL4mgl&CeI(,8V#TtJ9t_I%hqamoT_g5U_:]YqGi@`6:T7KmFgP7Ld6X^X0rlXG9#_%+5^ei34gXc)TDH$Eo*^8,Drp! TqO?WZpVjDF8'C)&K_PWA&$l!1i\dcmoM:P0#uWc&68kT`'rLUD^3C7C)9(]^>aWcdl;9>2P9a+ b\N+ofm*HRk8BLB[7+mnP\1+/(b9^LR2SaT_E'cOTD#a@6p'd&*hU^1g[Y[*C+:#0;[lEp:f;mt ;G]>Harc7YpJ&hK7pL?C5o_dkgq"XEX l/&tlU+jL5JNK['][DU>>p8`h:h_h$QD68n2W14XKNQC9eApVV7 endstream e/F`ubY"=cT2D!j(A=Cr6B%,5:9NRbFq:Fc:1\I+>)q>WWH#MprLLp[J!hOks`%Y5"IU It turns out that complex differentiability is a very strong condition and differentiable functions behave very well. (-uHFD7BCHJgh$lC.Eb1U*ej_a4)?tBB+is"Z8+epAj(j;A,p):k]l`E5)Ibgm-a29PSa$j>MkrlW!TLlP8-Z7'nH>'[I))?`h@'dWHud=*P+Qlom';A80@ QE*]:!#e"KrP%],cRuBG^3h.pHusLXVGjUMb!lg>r:`O:<2icu7T[bh2S(tCZLQHuG_U#2O;)Dp This is the lecture notes for the third year undergraduate module: MA3B8. *MO rSRS3M)+>mq:4Wi\iGB',%n!I5rQ`DJ!jK&Fc@M0"q/eS_Zu87f#X\Lr6kXd7$L"u`HPEMPk7fN stream ?CjMu:T\@:u,>s,GGZrjV3&["O :.=k #+:P/,G%[$(W0S+@606'eG6scc9'M(?$ . Sh\Xthrk6,WMX[q[jUNEKbdQnK3/J^';uuNC58egZ?bp!V`W-d'_(m),Dkh)2cbEIAr6o.11do=0@Ui&.\B7l$ZFU^g3TISo0 Lecture Notes in Complex Analysis1 Anant R. Shastri Department of Mathematics Indian Institute of Technology Bombay May 9, 2007 1ATML in Complex Analysis at BIM pune, 14th May to 26 May 2007 -AJ-Fs,9ZSgdL8D)J6l6kmM>PAR>.+Y-Q5R8W-UBc_2*,EqQ&Igk:GW\B:WtK^tTh?a,AB3k&N. !a0`9H0SWGpOp44L)6=b"]JIO2V=k;'uB*C2c^A&k*7m#@6*GZrOGT.q- C! C be such a function and R. 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