A primer of real functions. [The Carus mathematical monographs; no. 13] [Sets of real numbers -- Countable and uncountable sets -- Metric spaces -- Open and closed sets -- Dense and nowhere dense sets -- Compactness -- Convergence and completeness,

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190 p. illus. 20 cm. ; LCCN: 60-10307 ; LC: QA331; Dewey: 517.5 ; OCLC: 477141 ; blue cloth with gold lettering ; no dustjacket ; ex-lib, stamps, label, date due, pocket ; Contents : Sets -- Sets of real numbers -- Countable and uncountable sets -- Metric spaces -- Open and closed sets -- Dense and nowhere dense sets -- Compactness -- Convergence and completeness -- Approximations to continuous functions -- Linear functions -- Derivatives -- Monotonic functions -- Convex functions -- Infinitely differentiable functions -- Integration -- Measurable functions -- Nested sets and Baires theorem -- Some applications of Baires Theorem -- Sets of measure zero -- Functions -- Continuous functions -- Properties of continuous functions -- Upper a nd lower limits -- Sequences of functions -- Uniform convergence -- Pointwise limits of continuous functions -- Definition of the Lebesgue integral -- Properties of Lebesgue integrals -- Applications of the Lebesgue integral -- Stieltjes integrals - - Applications of the Stieltjes integral -- Partial sums of infinite series -- Answers to Exercises -- Index. ; VG. N° de ref. del artículo 5510

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