- -- - Rami Shalqoanm",u0( Mad~:malici Princdoo Uni~tnily Fi.-,Ilall. Was!linglOO Rood Princeroo. NJ 08j.44..1000 "'A Ubr;>ryofOlnrr-CauJoeina·in.F\tIIQlionD;ua AC.I.P.CaIaIope rtCOtd lotI!liobOiedin wholoorin pan"iI1>ouI....._ u.c. perrniI.oionof....pub/Ii.......ISprinp ~B"sinesoMedia. 233Sprin.JSI=t. Now Vorl:. J>lV 10013. USA)....Ialiand.....13>'IeIm5.e>ftlif(hey ....._ idcnrif...."",1IdI.is"'"10be""' an••pttSSi<)nofq>inioO'lasww........or"'",hey1ft suIljc<;t10I""'f'riotlx)'nglll•. 98765 Preface The present volumecontainsaU theexercisesand theirsolutionslOr Lang's second edition of Undergraduate Analysis. The wide variety of exerdllell, which range from cornputatiolUl1 to mote conOOl1uallUldwhichareofvary ing difficulty, cover the folJowing subjects and more: real numbers. (jmltll, continuous functioos, diJferentiation and elementary illtegration, nonoed vect.oT spaees, eornpa.ctncsa, series, IntegraUon In one \'lI.riabIe, ImJX'OPCl" integrals, convolutions, Fourier series and the Fourier Inkgrsl, funcUons in n·space, derlvatlVfJa In vector spaces, the IIM!l'8e and Impiclt mapping theorem, ordinary differentialequations, multiple Integrsls, and dilferenUal Jonns. My ob!ectiw Is to offer those learning and teaching analyllis at the uode:rgradua.te level II Ia.q:e number ofoompl

Problems and Solutions for Undergraduate Analysis Rami Shakarchi, Serge Lang

Similar Problems and Solutions for Undergraduate Analysis Rami Shakarchi, Serge Lang