Titlebook: An Introduction to Modern Analysis; Vicente Montesinos,Peter Zizler,Václav Zizler Textbook 2015 Springer International Publishing Switzerl

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白楊

分開如此和諧

虛度

Appendix,This optional appendix upgrades in short a few of the results in the text, that are not necessarily directly used there.

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PALMY

Function Convergence,lementary functions (polynomials, trigonometric polynomials, etc.). On the other hand, it may be convenient to approximate a given function by functions that have good properties in order to simplify computations or whole theories. The purpose of this chapter is to investigate all this..We shall con

freight

Metric Spaces,rn mathematics isolates these two activities in two subjects: . (for a theory of .) and . (that presents a theory of . or, if the reader prefers, . based in the notion of an ., also called a .. Most interestingly, this notion—an inner product— is powerful enough to induce also a distance, and so the

BRUNT

Fourier Series,ach to it in order to explain the analytic theory of heat— is to represent functions . defined on . as the sum of a series whose terms are simple trigonometric functions, i.e., the nowadays called .., a series of the form .. This aim may look difficult to achieve, since . is not, in general, .-perio

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