Titlebook: Understanding Analysis; Stephen Abbott Textbook 20011st edition Springer Science+Business Media New York 2001 Taylor series.algebra.bounda

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Undergraduate Texts in Mathematicshttp://image.papertrans.cn/u/image/941299.jpg

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The Real Numbers,athematics in ., an essay first published in 1940. At the center of Hardy’s defense is the thesis that mathematics is an aesthetic discipline. For Hardy, the applied mathematics of engineers and economists held little charm. “Real mathematics,” as he referred to it, “must be justified as art if it can be justified at all.”

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Additional Topics,nt topics. The writing in this chapter is similar to that in the concluding project sections of each individual chapter. Exercises are included within the exposition and are designed to make each section a narrative investigation into a significant achievement in the field of analysis.

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