The Resource Essentials of Measure Theory, by Carlos S. Kubrusly, (electronic resource)

Essentials of Measure Theory, by Carlos S. Kubrusly, (electronic resource)

Label
Essentials of Measure Theory
Title
Essentials of Measure Theory
Statement of responsibility
by Carlos S. Kubrusly
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
Classical in its approach, this textbook is thoughtfully designed and composed in two parts. Part I is meant for a one-semester beginning graduate course in measure theory, proposing an “abstract” approach to measure and integration, where the classical concrete cases of Lebesgue measure and Lebesgue integral are presented as an important particular case of general theory. Part II of the text is more advanced and is addressed to a more experienced reader. The material is designed to cover another one-semester graduate course subsequent to a first course, dealing with measure and integration in topological spaces. The final section of each chapter in Part I presents problems that are integral to each chapter, the majority of which consist of auxiliary results, extensions of the theory, examples, and counterexamples. Problems which are highly theoretical have accompanying hints. The last section of each chapter of Part II consists of Additional Propositions containing auxiliary and complementary results. The entire book contains collections of suggested readings at the end of each chapter in order to highlight alternate approaches, proofs, and routes toward additional results. With modest prerequisites, this text is intended to meet the needs of a contemporary course in measure theory for mathematics students and is also accessible to a wider student audience, namely those in statistics, economics, engineering, and physics. Part I may be also accessible to advanced undergraduates who fulfill the prerequisites which include an introductory course in analysis, linear algebra (Chapter 5 only), and elementary set theory
http://library.link/vocab/creatorName
Kubrusly, Carlos S
Image bit depth
0
LC call number
QA312-312.5
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
http://library.link/vocab/subjectName
  • Mathematics
  • Measure theory
  • Topology
  • Mathematics
  • Measure and Integration
  • Topology
Label
Essentials of Measure Theory, by Carlos S. Kubrusly, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface -- Part I. Introduction to Measure and Integration.-1. Measurable Functions -- 2. Measure on a σ-Algebra -- 3. Integral of Nonnegative Functions -- 4. Integral of Real-Valued Functions -- 5. Banach Spaces Lp -- 6. Convergence of Functions -- 7. Decomposition of Measures -- 8. Extension of Measures -- 9. Product Measures -- Part II -- 10. Remarks on Integrals -- 11. Borel Measure -- 12. Representation Theorems -- 13. Invariant Measures -- References -- Index
Dimensions
unknown
Edition
1st ed. 2015.
Extent
XIII, 279 p. 1 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319225067
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-22506-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-22506-7
Label
Essentials of Measure Theory, by Carlos S. Kubrusly, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface -- Part I. Introduction to Measure and Integration.-1. Measurable Functions -- 2. Measure on a σ-Algebra -- 3. Integral of Nonnegative Functions -- 4. Integral of Real-Valued Functions -- 5. Banach Spaces Lp -- 6. Convergence of Functions -- 7. Decomposition of Measures -- 8. Extension of Measures -- 9. Product Measures -- Part II -- 10. Remarks on Integrals -- 11. Borel Measure -- 12. Representation Theorems -- 13. Invariant Measures -- References -- Index
Dimensions
unknown
Edition
1st ed. 2015.
Extent
XIII, 279 p. 1 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319225067
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-22506-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-22506-7

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