TY - BOOK AU - Lindstrøm, Tom, AU - Lindstrøm, Tom TI - Spaces: : an introduction to real analysis T2 - Sally series (Providence, R.I.); Pure and applied undergraduate texts, 29 SN - 9781470454678 U1 - 515.8 LIN PY - 2017/// CY - Providence, Rhode Island PB - : American Mathematical Society, KW - Mathematics KW - Analysis KW - Mathematical analysis -- KW - Functional analysis KW - Real functions -- Instructional exposition (textbooks, tutorial papers, etc.) KW - Functional analysis -- Instructional exposition (textbooks, tutorial papers, etc.) KW - General topology -- Spaces with richer structures -- Metric spaces, metrizability N1 - 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 N2 - 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 ER -