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Handbook of analysis and its foundations

Author: Eric Schechter
Publisher: San Diego : Academic Press, ©1997.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This text provides an introduction to a wide range of topics in analysis including set theory and mathematical logic; algebra; toplogy; normed spaces; integration theory; toplogical vector spaces;  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Eric Schechter
ISBN: 0126227608 9780126227604
OCLC Number: 35084403
Description: xxii, 883 pages : illustrations ; 25 cm
Contents: Preface --
Sets --
Functions --
Relations and orderings --
More about sups and infs --
Filters, topologies, and other sets of sets --
Constructivism and choice --
Nets and convergences --
Elementary algebraic systems --
Concrete categories --
The real numbers --
Linearity --
Convexity --
Boolean algebras --
Logic and intangibles --
Topological spaces --
Separation and regularity axioms --
Compactness --
Uniform spaces --
Metric and uniform completeness --
Baire theory --
Positive measure and integration --
Norms --
Normed operators --
Generalized Riemann integrals --
Frechet derivatives --
Metrization of groups and vector spaces --
Barrels and other features of TVS's --
Duality and weak compactness --
Vector measures --
Initial value problems.
Other Titles: Analysis and its foundations
Responsibility: Eric Schechter.
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This is quite a book! From the table of contents, it would appear to include just about everything one would want to know about the foundations of analysis. It is well-organized and the exposition in Read more...

 
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