: an introduction to real analysis Lindstrøm, Tom creator Lindstrøm, Tom text Providence, Rhode Island : American Mathematical Society 2017 monographic eng

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xii, 369 pages ; 27 cm. Offers a modern introduction to real analysis at the advanced undergraduate level. It is forward-looking in the sense that it first and foremost aims to provide students with the concepts and techniques they need in order to follow more advanced courses in mathematical analysis and neighboring fields. The only prerequisites are a solid understanding of calculus and linear algebra Preliminaries : proofs, sets, and functions -- The foundation of calculus -- Metric spaces -- Spaces of continuous functions -- Normed spaces and linear operators -- Differential calculus in normed spaces -- Measure and integration -- Constructing measures -- Fourier series. / Tom Lindstrøm Mathematics Analysis Mathematical analysis -- Functional analysis Real functions -- Instructional exposition (textbooks, tutorial papers, etc.) Functional analysis -- Instructional exposition (textbooks, tutorial papers, etc.) General topology -- Spaces with richer structures -- Metric spaces, metrizability 515.8 LIN 9781470454678 191022 20191022115941.0