By Murali Rao

It is a rigorous advent to the speculation of complicated services of 1 complicated variable. The authors have made an attempt to offer the various deeper and extra attention-grabbing effects, for instance, Picard's theorems, Riemann mapping theorem, Runge's theorem within the first few chapters. even though, the very easy thought is however given a radical therapy in order that readers should not believe misplaced. After the 1st 5 chapters, the order might be tailored to fit the path. each one bankruptcy finishes with routines.

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Additional info for Complex Analysis: An Invitation

Example text

E. f. f. f. S. S. f. f. = cos Φ, where Φ is the angle of lag or lead Three Phase Alternators Star connected Line voltage = 3 x phase voltage Line current = phase current Delta connected Line voltage = phase voltage Line current = 3 x phase current Three phase power P = 3 EL IL cos Φ EL = line voltage IL = line current cos Φ = power factor Page 33 Page 34 ION NAMES AND FORMULAE MONATOMIC Ag+ Al3+ Au+ and Au2+ Be2+ Ca2+ Co2+ and Co3+ Cr2+ and Cr3+ Cu+ and Cu2+ Fe2+ and Fe3+ K+ Li+ Mg2+ Na+ Zn2+ silver ion aluminum ion gold ion beryllium ion calcium ion cobalt ion chromium ion copper ion iron ion potassium ion lithium ion magnesium ion sodium ion zinc ion POLYATOMIC BO33C2H3O2ClOClO2ClO3ClO4CNCO32C2O42CrO42Cr2O72HCO3H3O+ HPO42H2PO4HSO3HSO4MnO4N3NH4+ NO2NO3O22OCNOHPO33PO43SCNSO32SO42S2O32- borate ion acetate ion hypochlorite ion chlorite ion chlorate ion perchlorate ion cyanide ion carbonate ion oxalate ion chromate ion dichromate ion hydrogen carbonate or bicarbonate ion hydronium ion hydrogen phosphate ion dihydrogen phosphate ion hydrogen sulphite or bisulphite ion hydrogen sulphate or bisulphate ion permanganate ion azide ion ammonium ion nitrite ion nitrate ion peroxide ion cyanate ion hydroxide ion phosphite ion phosphate ion thiocyanate ion sulphite ion sulphate ion thiosulphate ion Page 35 This material is owned by Power Engineering Training Systems and may not be modified from its original form.

F. f. = cos Φ, where Φ is the angle of lag or lead Three Phase Alternators Star connected Line voltage = 3 x phase voltage Line current = phase current Delta connected Line voltage = phase voltage Line current = 3 x phase current Three phase power P = 3 EL IL cos Φ EL = line voltage IL = line current cos Φ = power factor Page 33 Page 34 ION NAMES AND FORMULAE MONATOMIC Ag+ Al3+ Au+ and Au2+ Be2+ Ca2+ Co2+ and Co3+ Cr2+ and Cr3+ Cu+ and Cu2+ Fe2+ and Fe3+ K+ Li+ Mg2+ Na+ Zn2+ silver ion aluminum ion gold ion beryllium ion calcium ion cobalt ion chromium ion copper ion iron ion potassium ion lithium ion magnesium ion sodium ion zinc ion POLYATOMIC BO33C2H3O2ClOClO2ClO3ClO4CNCO32C2O42CrO42Cr2O72HCO3H3O+ HPO42H2PO4HSO3HSO4MnO4N3NH4+ NO2NO3O22OCNOHPO33PO43SCNSO32SO42S2O32- borate ion acetate ion hypochlorite ion chlorite ion chlorate ion perchlorate ion cyanide ion carbonate ion oxalate ion chromate ion dichromate ion hydrogen carbonate or bicarbonate ion hydronium ion hydrogen phosphate ion dihydrogen phosphate ion hydrogen sulphite or bisulphite ion hydrogen sulphate or bisulphate ion permanganate ion azide ion ammonium ion nitrite ion nitrate ion peroxide ion cyanate ion hydroxide ion phosphite ion phosphate ion thiocyanate ion sulphite ion sulphate ion thiosulphate ion Page 35 This material is owned by Power Engineering Training Systems and may not be modified from its original form.

S. f. f. = cos Φ, where Φ is the angle of lag or lead Three Phase Alternators Star connected Line voltage = 3 x phase voltage Line current = phase current Delta connected Line voltage = phase voltage Line current = 3 x phase current Three phase power P = 3 EL IL cos Φ EL = line voltage IL = line current cos Φ = power factor Page 33 Page 34 ION NAMES AND FORMULAE MONATOMIC Ag+ Al3+ Au+ and Au2+ Be2+ Ca2+ Co2+ and Co3+ Cr2+ and Cr3+ Cu+ and Cu2+ Fe2+ and Fe3+ K+ Li+ Mg2+ Na+ Zn2+ silver ion aluminum ion gold ion beryllium ion calcium ion cobalt ion chromium ion copper ion iron ion potassium ion lithium ion magnesium ion sodium ion zinc ion POLYATOMIC BO33C2H3O2ClOClO2ClO3ClO4CNCO32C2O42CrO42Cr2O72HCO3H3O+ HPO42H2PO4HSO3HSO4MnO4N3NH4+ NO2NO3O22OCNOHPO33PO43SCNSO32SO42S2O32- borate ion acetate ion hypochlorite ion chlorite ion chlorate ion perchlorate ion cyanide ion carbonate ion oxalate ion chromate ion dichromate ion hydrogen carbonate or bicarbonate ion hydronium ion hydrogen phosphate ion dihydrogen phosphate ion hydrogen sulphite or bisulphite ion hydrogen sulphate or bisulphate ion permanganate ion azide ion ammonium ion nitrite ion nitrate ion peroxide ion cyanate ion hydroxide ion phosphite ion phosphate ion thiocyanate ion sulphite ion sulphate ion thiosulphate ion Page 35 This material is owned by Power Engineering Training Systems and may not be modified from its original form.