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The Resource Foundations of abstract analysis, Jewgeni H. Dshalalow

Foundations of abstract analysis, Jewgeni H. Dshalalow

Label
Foundations of abstract analysis
Title
Foundations of abstract analysis
Statement of responsibility
Jewgeni H. Dshalalow
Creator
Subject
Language
eng
Summary
Foundations of Abstract Analysis is the first of a two book series offered as the second (expanded) edition to the previously published text Real Analysis. It is written for a graduate-level course on real analysis and presented in a self-contained way suitable both for classroom use and for self-study. While this book carries the rigor of advanced modern analysis texts, it elaborates the material in much greater details and therefore fills a gap between introductory level texts (with topics developed in Euclidean spaces) and advanced level texts (exclusively dealing with abstract spaces) making it accessible for a much wider interested audience. To relieve the reader of the potential overload of new words, definitions, and concepts, the book (in its unique feature) provides lists of new terms at the end of each section, in a chronological order. Difficult to understand abstract notions are preceded by informal discussions and blueprints followed by thorough details and supported by examples and figures. To further reinforce the text, hints and solutions to almost a half of more than 580 problems are provided at the end of the book, still leaving ample exercises for assignments. This volume covers topics in point-set topology and measure and integration. Prerequisites include advanced calculus, linear algebra, complex variables, and calculus based probability
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Dshalalow, Jewgeni H
Dewey number
515
Index
index present
LC call number
QA300
LC item number
.D43 2013
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/subjectName
  • Mathematical analysis
  • Mathematics
  • Mathematical analysis
  • Analysis
  • Integrationstheorie
  • Maßtheorie
  • Mengenlehre
Label
Foundations of abstract analysis, Jewgeni H. Dshalalow
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Measures
  • Integration in Abstract Spaces
  • Part 3.
  • Supplementary Materials
  • Solutions to Selected Problems.9
  • Part 1.
  • Principles of Set Theory and Point-Set Topology
  • Set-Theoretic and Algebraic Preliminaries
  • Analysis of Metric Spaces
  • Elements of Point-Set Topology
  • Part 2.
  • Measure Theory and Abstract Integration
  • Measurable Spaces and Measurable Functions
Control code
820469878
Dimensions
unknown
Edition
2nd edition.
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9781461459620
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4614-5962-0
http://library.link/vocab/ext/overdrive/overdriveId
1461459613
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)820469878
Label
Foundations of abstract analysis, Jewgeni H. Dshalalow
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Measures
  • Integration in Abstract Spaces
  • Part 3.
  • Supplementary Materials
  • Solutions to Selected Problems.9
  • Part 1.
  • Principles of Set Theory and Point-Set Topology
  • Set-Theoretic and Algebraic Preliminaries
  • Analysis of Metric Spaces
  • Elements of Point-Set Topology
  • Part 2.
  • Measure Theory and Abstract Integration
  • Measurable Spaces and Measurable Functions
Control code
820469878
Dimensions
unknown
Edition
2nd edition.
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9781461459620
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4614-5962-0
http://library.link/vocab/ext/overdrive/overdriveId
1461459613
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)820469878

Library Locations

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      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
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