Titlebook: Amazing and Aesthetic Aspects of Analysis; Paul Loya Textbook 2017 Paul Loya 2017 real analysis.fundamental theorems of continuous functio

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Insa Cassens,Marc Luy,Rembrandt ScholzWe dabbled a little into the theory of continued fractions (that is, fractions that continue on and on and on ...) way back on the exercises of Section .. In this chapter we concentrate on this fascinating subject.

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Infinite Sequences of Real and Complex NumbersNotable enough, however, are the controversies over the series ..

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Some of the Most Beautiful Formulas in the World I–IIIIn this chapter we present a small sample of . of the most beautiful formulas in the world.

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Advanced Theory of Infinite SeriesThis chapter is about going in depth into the theory and application of infinite series. One infinite series that will come up again and again in this chapter and the next chapter as well is the Riemann zeta function.

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More on the Infinite: Products and Partial FractionsThis chapter is devoted entirely to the theory and application of infinite products, and as a consolation prize, we also talk about partial fractions.

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