Spaces
Lindstrøm, Tom,
Spaces : an introduction to real analysis / Tom Lindstrøm - Providence, Rhode Island : American Mathematical Society, 2017 - xii, 369 pages ; 27 cm. - Sally series (Providence, R.I.); Pure and applied undergraduate texts, 29. .
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.
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
9781470454678
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
Spaces : an introduction to real analysis / Tom Lindstrøm - Providence, Rhode Island : American Mathematical Society, 2017 - xii, 369 pages ; 27 cm. - Sally series (Providence, R.I.); Pure and applied undergraduate texts, 29. .
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.
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
9781470454678
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
