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This book is designed as a text for a first course on functional analysis for ad- vanced undergraduates or for beginning graduate students. It can be used in the undergraduate curriculum for an honors seminar, or for a "capstone" course. It can also be used for self-study or independent study. The course prerequisites are few, but a certain degree of mathematical sophistication is required. 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. Knowledge of the Lebesgue integral is not a prerequisite....

This book is designed as a text for a first course on functional analysis for ad- vanced undergraduates or for beginning graduate students. It can be used in the undergraduate curriculum for an honors seminar, or for a "capstone" course. It can also be used for self-study or independent study. The course prerequisites are few, but a certain degree of mathematical sophistication is required. 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. Knowledge of the Lebesgue integral is not a prerequisite....