Titlebook: Real and Abstract Analysis; A modern treatment o Edwin Hewitt,Karl Stromberg Book Aug 20141st edition Springer-Verlag Berlin Heidelberg 196

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Set Theory and Algebra,d functions, containing few proofs, and intended largely to fix notation and terminology and to form a review for the reader in need of one. Sections 3 and 4, on the axiom of choice and infinite arithmetic, are more serious: they contain detailed proofs and are recommended for close study by readers unfamiliar with their contents.

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Set Theory and Algebra,om sets are essential tools, and manipulation of sets is an operation he must carry out continually. Accordingly we begin with two sections on sets and functions, containing few proofs, and intended largely to fix notation and terminology and to form a review for the reader in need of one. Sections

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Function Spaces and Banach Spaces,conomy of effort and for clarity of exposition dictate that we treat these results in general Banach spaces. In § 15, we give a strictly computational construction of the conjugate spaces of the function spaces ￡. (1 < p < ∞). We have chosen this construction because of its elementary nature and als

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Book Aug 20141st editiongiven complete definitions, ex- planations, and proofs throughout, so that the book should be usablefor individual study as well as for a course text. Prerequisites for reading the book are the following. The reader is assumed to know elementary analysis as the subject is set forth, for example, in

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