000			01700nam a22002777a 4500
999			_c55787 _d55787
005			20191022115941.0
008			191022b ||||| |||| 00| 0 eng d
020			_a9781470454678
082			_a515.8 LIN
100			_aLindstrøm, Tom,
245			_a Spaces _b : an introduction to real analysis _c/ Tom Lindstrøm
260			_aProvidence, Rhode Island _b : American Mathematical Society, _c2017
300			_axii, 369 pages _c ; 27 cm.
490			_aSally series (Providence, R.I.); Pure and applied undergraduate texts, 29.
505			_a 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.
520			_aOffers 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
650			_aMathematics
650			_a Analysis
650			_a Mathematical analysis --
650			_aFunctional analysis.
650			_aReal functions -- Instructional exposition (textbooks, tutorial papers, etc.)
650			_aFunctional analysis -- Instructional exposition (textbooks, tutorial papers, etc.)
650			_aGeneral topology -- Spaces with richer structures -- Metric spaces, metrizability.
700			_aLindstrøm, Tom
942			_cMDL