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Finite-Dimensional Linear Analysis: A Systematic Presentation in Problem Form I. M. Glazman , Ju. I. Ljubic You will learn (finite)functional analysis by solving problems.(not the easiest way..) http://www.amazon.com/Finite-Dimensional-Linear-Analysis-Systematic-Presentation/dp/0486453324/ref=sr_1_5?ie=UTF8&s=books&qid=1270895647&sr=1-5