Spaces: an introduction to real analysis / Tom Lindstrøm

By:

Lindstrom, Tom L, 1954 [author]

Material type: Text

TextSeries: Sally series (Providence, R.I.); Pure and applied undergraduate texts ; 29.Publication details: New Delhi ; American Mathematical Society, 2019.Edition: Indian editionDescription: xii, 369 pages ; 24 cmISBN:

9781470454678

Subject(s):

DDC classification:

23 515.8 L645S

Contents:

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.

Summary: 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.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode
Gift Books	Library and Documentation Division PGRRL	515.8 L645S (Browse shelf(Opens below))	Available		G016897

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Previous	515.724 M84O An operator theory problem book /	515.724 Si53O Operator theory /	515.724 Su72O Operators on Hilbert space /	515.8 L645S Spaces: an introduction to real analysis /	515.8 Si53R Real analysis : a comprehensive course in analysis, Part 1 /	515.9 D212I An introduction to complex analysis and geometry /	515.9 N41I-2 Introduction to complex analysis/	Next

Gifted by NBHM

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.

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