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Review title: A very good first book on functional analysis.
Product review: A very good first book on functional analysis. The book starts with preliminary set theory, logic, functions, and concepts of abstract algebra and moves on to the big convergence theorems in the Lebesgue integration and onto topological and metric spaces. The book ends with basic theory of Hilbert space. Each section concludes with exercises. The author takes great pains to include a lot of detail in the proofs. I would recommend this book to an advanced undergraduate or beginning graduate student.
