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Liburu honetan batu diren ariketak EHUko Bilboko Ingeniaritza Goi Eskola Teknikoko Telekomunikazio Ingeniaritza titulazioko Matematika V ikasgaiaren azterketetakoen bilduma dira, 2004 urtetik 2008 urtea arte. Liburuaren helburua bikoitza da: alde batetik, ikaslearentzat Fourier analisiko eta aldagai konplexuko kontzeptu teorikoen asimilazio-prozesuan lagungarri izatea; bestetik, azterketak gertatzeko baliabide onuragarri izatea. Liburuak sei atal dauzka: aurreneko biak Fourier analisiari dagozkio, eta azken laurak aldagai konplexuaren analisiari. Galdera teoriko gehienak ariketetatik at utzi dira, klasetako oharretan esplizituki zehaztuta daudelako; hala ere, teorema edo propietateren batek ariketan aplikazio zuzena duen kasuak salbuetsi dira. Galdekizun teorikoak, aldiz, sartu egin dira, klasetan ikasi diren teorema, frogapen eta propietateen hitzez hitzeko errepikapenak ez direnean.