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Real Analysis

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Up to my knowledge, this is the only book that constructs the Lebesgue integral for functions to a general Banach-space instead of the real numbers (thus saving us from the unnecessary and esthetically dissapointing construction through positive and negative functions).I don't know how Lang does it, but eerytime you'll pick up one of his books, you'll marvel at the beauty of mathematics !

Author(s): Serge Lang
Edition: 2
Publisher: Addison-Wesley
Year: 1983

Language: English
Pages: 552