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Spaces : an introduction to real analysis

Author: Tom Lindstrøm
Publisher: Providence, Rhode Island : American Mathematical Society, [2017] ©2017
Series: Pure and applied undergraduate texts, 29.; Sally series (Providence, R.I.)
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Spaces is 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. Two introductory chapters will  Read more...
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Genre/Form: Electronic books
Textbooks
Additional Physical Format: Print version:
Lindstrøm, Tom, 1954-
Spaces.
Providence, Rhode Island : American Mathematical Society, [2017]
(DLC) 2017022199
(OCoLC)986993658
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Tom Lindstrøm
ISBN: 9781470443115 1470443112
OCLC Number: 1016619249
Description: 1 online resource (xii, 369 pages).
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.
Series Title: Pure and applied undergraduate texts, 29.; Sally series (Providence, R.I.)
Responsibility: Tom L. Lindstrøm.

Abstract:

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  Read more...

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