Titlebook: Introduction to Mathematical Analysis; Igor Kriz,Ale? Pultr Textbook 2013 Springer Basel 2013 geometry.integration.manifolds.mathematical

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A Few Applications of Hilbert SpacesIn the previous chapter we developed, with the help of analysis, an understanding of Hilbert (and Banach) spaces as a kind of satisfactory generalization of linear algebra to infinite-dimensional spaces. In particular, we developed modified notions of duals and bases which behave well in this situation.

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sed not only as a textbook for a course but also as a refereThe book begins?at the level of?an undergraduate student assuming only basic knowledge of calculus in one variable. It rigorously treats topics such as multivariable differential calculus, Lebesgue integral, vector calculus and differential