Nonabsolute integration on measure spaces:
"This book offers to the reader a self-contained treatment and systematic exposition of the real-valued theory of a nonabsolute integral on measure spaces. It is an introductory textbook to Henstock–Kurzweil type integrals defined on abstract spaces. It contains both classical and original resu...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Publishing Co. Pte Ltd.
c2018
|
| Schriftenreihe: | Series in real analysis
vol. 14 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "This book offers to the reader a self-contained treatment and systematic exposition of the real-valued theory of a nonabsolute integral on measure spaces. It is an introductory textbook to Henstock–Kurzweil type integrals defined on abstract spaces. It contains both classical and original results that are accessible to a large class of readers. It is widely acknowledged that the biggest difficulty in defining a Henstock–Kurzweil integral beyond Euclidean spaces is the definition of a set of measurable sets which will play the role of "intervals" in the abstract setting. In this book the author shows a creative and innovative way of defining "intervals" in measure spaces, and prove many interesting and important results including the well-known Radon–Nikodým theorem."--Publisher's website |
| Beschreibung: | Description based on online resource; title from PDF title page (viewed November 20, 2017) |
| Beschreibung: | 1 Online-Ressource (247 Seiten) Illustrationen |
| ISBN: | 9789813221970 |
Internformat
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| 490 | 0 | |a Series in real analysis |v vol. 14 | |
| 500 | |a Description based on online resource; title from PDF title page (viewed November 20, 2017) | ||
| 520 | |a "This book offers to the reader a self-contained treatment and systematic exposition of the real-valued theory of a nonabsolute integral on measure spaces. It is an introductory textbook to Henstock–Kurzweil type integrals defined on abstract spaces. It contains both classical and original results that are accessible to a large class of readers. It is widely acknowledged that the biggest difficulty in defining a Henstock–Kurzweil integral beyond Euclidean spaces is the definition of a set of measurable sets which will play the role of "intervals" in the abstract setting. In this book the author shows a creative and innovative way of defining "intervals" in measure spaces, and prove many interesting and important results including the well-known Radon–Nikodým theorem."--Publisher's website | ||
| 650 | 4 | |a Numerical integration | |
| 650 | 4 | |a Integrals | |
| 650 | 4 | |a Henstock-Kurzweil integral | |
| 650 | 4 | |a Integrals, Generalized | |
| 650 | 4 | |a Algebraic spaces | |
| 650 | 4 | |a Electronic books | |
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Datensatz im Suchindex
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| author | Ng, Wee Leng |
| author_facet | Ng, Wee Leng |
| author_role | aut |
| author_sort | Ng, Wee Leng |
| author_variant | w l n wl wln |
| building | Verbundindex |
| bvnumber | BV047124529 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)000010489 (OCoLC)1237587720 (DE-599)BVBBV047124529 |
| dewey-full | 515.43 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.43 |
| dewey-search | 515.43 |
| dewey-sort | 3515.43 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV047124529 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T16:30:25Z |
| indexdate | 2024-07-10T09:03:18Z |
| institution | BVB |
| isbn | 9789813221970 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032530769 |
| oclc_num | 1237587720 |
| open_access_boolean | |
| physical | 1 Online-Ressource (247 Seiten) Illustrationen |
| psigel | ZDB-124-WOP |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | World Scientific Publishing Co. Pte Ltd. |
| record_format | marc |
| series2 | Series in real analysis |
| spelling | Ng, Wee Leng Verfasser aut Nonabsolute integration on measure spaces Ng Wee Leng Singapore World Scientific Publishing Co. Pte Ltd. c2018 1 Online-Ressource (247 Seiten) Illustrationen txt rdacontent c rdamedia cr rdacarrier Series in real analysis vol. 14 Description based on online resource; title from PDF title page (viewed November 20, 2017) "This book offers to the reader a self-contained treatment and systematic exposition of the real-valued theory of a nonabsolute integral on measure spaces. It is an introductory textbook to Henstock–Kurzweil type integrals defined on abstract spaces. It contains both classical and original results that are accessible to a large class of readers. It is widely acknowledged that the biggest difficulty in defining a Henstock–Kurzweil integral beyond Euclidean spaces is the definition of a set of measurable sets which will play the role of "intervals" in the abstract setting. In this book the author shows a creative and innovative way of defining "intervals" in measure spaces, and prove many interesting and important results including the well-known Radon–Nikodým theorem."--Publisher's website Numerical integration Integrals Henstock-Kurzweil integral Integrals, Generalized Algebraic spaces Electronic books http://www.worldscientific.com/worldscibooks/10.1142/10489#t=toc Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Ng, Wee Leng Nonabsolute integration on measure spaces Numerical integration Integrals Henstock-Kurzweil integral Integrals, Generalized Algebraic spaces Electronic books |
| title | Nonabsolute integration on measure spaces |
| title_auth | Nonabsolute integration on measure spaces |
| title_exact_search | Nonabsolute integration on measure spaces |
| title_exact_search_txtP | Nonabsolute integration on measure spaces |
| title_full | Nonabsolute integration on measure spaces Ng Wee Leng |
| title_fullStr | Nonabsolute integration on measure spaces Ng Wee Leng |
| title_full_unstemmed | Nonabsolute integration on measure spaces Ng Wee Leng |
| title_short | Nonabsolute integration on measure spaces |
| title_sort | nonabsolute integration on measure spaces |
| topic | Numerical integration Integrals Henstock-Kurzweil integral Integrals, Generalized Algebraic spaces Electronic books |
| topic_facet | Numerical integration Integrals Henstock-Kurzweil integral Integrals, Generalized Algebraic spaces Electronic books |
| url | http://www.worldscientific.com/worldscibooks/10.1142/10489#t=toc |
| work_keys_str_mv | AT ngweeleng nonabsoluteintegrationonmeasurespaces |