Beginning Functional Analysis (Undergraduate Texts in Mathematics) (2002. XI, 197 p. w. figs. 24 cm)

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The unifying approach of functional analysis is to view functions as points in abstract vector space and the differential and integral operators as linear transformations on these spaces. The author''s goal is to present the basics of functional analysis in a way that makes them comprehensible to a student who has completed courses in linear algebra and real analysis, and to develop the topics in their historical contexts.

This book is designed as a text for a first course on functional analysis for ad­ vanced undergraduates or for beginning graduate students. A reader must have had the equivalent of a first real analysis course, as might be taught using [25] or [109], and a first linear algebra course.

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