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Measure Theory and Integration

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Title: Measure Theory and Integration
Description: This carefully-planned and structured book approaches integration via measure, rather than measure via integration. It is the author`s experience that this approach makes the ideas easier for the reader to grasp, and is in accordance with his intention to provide an authoritative introduction to the subject. Apart from the central importance of the material in pure mathematics, it has relevance in many different branches of applied mathematics and probability. The proofs of the mathematics involved are set out clearly and in considerable detail, and should present little difficulty. Nevertheless, if what the reader requires are (i) a knowledge of the basic results and (ii) an ability to apply them, then he may skip the proofs at first reading. After studying the statements of the results of the theorems and the numerous worked examples, the reader should then be able to try the exercises, over 300 of which are provided as an integral part of the book. Detailed solutions at the end of the book are included as readers'last resort. The book serves the dual purpose of providing advanced undergraduate course, and also a reference source for those more interested in the manipulation of sums and integrals than in the proofs of the mathematics involved; it admirably achieves both objectives. The book is self-contained and the only prerequisite is a first course in analysis; what little topology is required is developed within the framework of the text.
Authors: Barra, G De
Resource Type: eBook.
Subjects: Integrals, Generalized, Measure theory
Categories: MATHEMATICS / Measurement, MATHEMATICS / Applied
Database: eBook Collection (EBSCOhost)
FullText Links:
  – Type: ebook-pdf
Text:
  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 2706869
RelevancyScore: 1057
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1057.36352539063
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  Data: Measure Theory and Integration
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  Data: This carefully-planned and structured book approaches integration via measure, rather than measure via integration. It is the author`s experience that this approach makes the ideas easier for the reader to grasp, and is in accordance with his intention to provide an authoritative introduction to the subject. Apart from the central importance of the material in pure mathematics, it has relevance in many different branches of applied mathematics and probability. The proofs of the mathematics involved are set out clearly and in considerable detail, and should present little difficulty. Nevertheless, if what the reader requires are (i) a knowledge of the basic results and (ii) an ability to apply them, then he may skip the proofs at first reading. After studying the statements of the results of the theorems and the numerous worked examples, the reader should then be able to try the exercises, over 300 of which are provided as an integral part of the book. Detailed solutions at the end of the book are included as readers'last resort. The book serves the dual purpose of providing advanced undergraduate course, and also a reference source for those more interested in the manipulation of sums and integrals than in the proofs of the mathematics involved; it admirably achieves both objectives. The book is self-contained and the only prerequisite is a first course in analysis; what little topology is required is developed within the framework of the text.
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 515.42
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Integrals, Generalized
        Type: general
      – SubjectFull: Measure theory
        Type: general
    Titles:
      – TitleFull: Measure Theory and Integration
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            NameFull: Barra, G De
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2014
            – D: 08
              M: 12
              Type: profile
              Y: 2021
          Identifiers:
            – Type: isbn-print
              Value: 9788122435023
            – Type: isbn-electronic
              Value: 9788122444957
          Titles:
            – TitleFull: Measure Theory and Integration
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