01805nam a22002897a 4500999001700000005001700017008004100034020001800075082001400093100002200107245006700129260007100196300003000267490007900297505028100376520038700657650001601044650001401060650003101074650002501105650008201130650008701212650008701299700002001386942000801406952010101414  c55787d5578720191022115941.0191022b           ||||| |||| 00| 0 eng d  a9781470454678  a515.8 LIN  aLindstrøm, Tom,   a Spacesb : an introduction to real analysisc/ Tom Lindstrøm  aProvidence, Rhode Islandb : American Mathematical Society, c2017  axii, 369 pagesc ; 27 cm.  aSally series (Providence, R.I.); Pure and applied undergraduate texts, 29.  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.  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  aMathematics  a Analysis  a Mathematical analysis --   aFunctional analysis.  aReal functions -- Instructional exposition (textbooks, tutorial papers, etc.)  aFunctional analysis -- Instructional exposition (textbooks, tutorial papers, etc.)  aGeneral topology -- Spaces with richer structures -- Metric spaces, metrizability.  aLindstrøm, Tom  cMDL  00102ddc4070aMDLbSNULd2019-10-22l0o515.8 LINpM043r2019-10-22 00:00:00w2019-10-22yMDL