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The Resource Essentials of Measure Theory, by Carlos S. Kubrusly, (electronic resource)
Essentials of Measure Theory, by Carlos S. Kubrusly, (electronic resource)
Resource Information
The item Essentials of Measure Theory, by Carlos S. Kubrusly, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Essentials of Measure Theory, by Carlos S. Kubrusly, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 Classical in its approach, this textbook is thoughtfully designed and composed in two parts. Part I is meant for a onesemester 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 onesemester 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
 Language
 eng
 Edition
 1st ed. 2015.
 Extent
 XIII, 279 p. 1 illus.
 Contents

 Preface
 Part I. Introduction to Measure and Integration.1. Measurable Functions
 2. Measure on a σAlgebra
 3. Integral of Nonnegative Functions
 4. Integral of RealValued 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
 Isbn
 9783319225067
 Label
 Essentials of Measure Theory
 Title
 Essentials of Measure Theory
 Statement of responsibility
 by Carlos S. Kubrusly
 Language
 eng
 Summary
 Classical in its approach, this textbook is thoughtfully designed and composed in two parts. Part I is meant for a onesemester 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 onesemester 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
 QA312312.5
 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)
 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 σAlgebra  3. Integral of Nonnegative Functions  4. Integral of RealValued 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
 10.1007/9783319225067
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319225067
 Label
 Essentials of Measure Theory, by Carlos S. Kubrusly, (electronic resource)
 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 σAlgebra  3. Integral of Nonnegative Functions  4. Integral of RealValued 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
 10.1007/9783319225067
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319225067
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