Real analysis / N. L. Carothers.
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TextPublication details: [S.l.] : Cambridge University Press, 2000.Edition: 1st edDescription: 416 p. ; 26 cmISBN: - 0521497566 (paperback)
- 9780521497565 (paperback)
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This course in real analysis is directed at advanced undergraduates and beginning graduate students in mathematics and related fields. Presupposing only a modest background in real analysis or advanced calculus, the book offers something of value to specialists and nonspecialists alike. The text covers three major topics: metric and normed linear spaces, function spaces, and Lebesgue measure and integration on the line. In an informal, down-to-earth style, the author gives motivation and overview of new ideas, while still supplying full details and complete proofs. He provides a great many exercises and suggestions for further study.
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