Titlebook: A Concise Introduction to Analysis; Daniel W. Stroock Textbook 2015 The Editor(s) (if applicable) and The Author(s), under exclusive licen

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A. Hurst,D. L. Collins-ThompsonIt is frustrating that there is no . for which .. In this chapter we will introduce a structure that provides an extension of the real numbers in which this equation has solutions.

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Michael Sonntag,René Mayrhofer,Stefan RassIntegration of functions in higher dimensions is much more difficult than it is in one dimension. The basic reason is that in order to integrate a function, one has to know how to measure the volume of sets. In one dimension, most sets can be decomposed into intervals (cf. Exercise ), and we took the length of an interval to be its volume.

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Daniel W. StroockUnique owing to its conciseness and brevity of the subject matter.Contains topics unusual in other texts at this level, such as the proof of the prime number theorem.Covers polar coordinates and the d

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