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1. Sets. In order to read anything about our subject, you will have to learn the language that is used in it.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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universal chord theorem, pure jump function, horizontal chord, intermediate value property, least upper bound property, everywhere dense set, finite derivative, complementary interval, termwise differentiation, ruler function, ternary expansions, disjoint open intervals, nowhere dense sets, uniformly convergent sequence, finite subcollection, outer measure, measure zero
Key Phrases - Capitalized Phrases (CAPs):
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American Mathematical Monthly, New York, Duke Mathematical Journal, Fundamenta Mathematicae, Proceedings of the American Mathematical Society, Cambridge University Press, Colloquium Mathematicum, Mathematical Gazette, Mathematical Reviews, San Francisco
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