Henstock-Kurzweil integration on Euclidean spaces:
The Henstock-Kurzweil integral, which is also known as the generalized Riemann integral, arose from a slight modification of the classical Riemann integral more than 50 years ago. This relatively new integral is known to be equivalent to the classical Perron integral; in particular, it includes the...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2011
|
| Schriftenreihe: | Series in real analysis
v. 12 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | The Henstock-Kurzweil integral, which is also known as the generalized Riemann integral, arose from a slight modification of the classical Riemann integral more than 50 years ago. This relatively new integral is known to be equivalent to the classical Perron integral; in particular, it includes the powerful Lebesgue integral. This book presents an introduction of the multiple Henstock-Kurzweil integral. Along with the classical results, this book contains some recent developments connected with measures, multiple integration by parts, and multiple Fourier series. The book can be understood with a prerequisite of advanced calculus |
| Beschreibung: | ix, 314 p |
| ISBN: | 9789814324595 |
Internformat
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| 520 | |a The Henstock-Kurzweil integral, which is also known as the generalized Riemann integral, arose from a slight modification of the classical Riemann integral more than 50 years ago. This relatively new integral is known to be equivalent to the classical Perron integral; in particular, it includes the powerful Lebesgue integral. This book presents an introduction of the multiple Henstock-Kurzweil integral. Along with the classical results, this book contains some recent developments connected with measures, multiple integration by parts, and multiple Fourier series. The book can be understood with a prerequisite of advanced calculus | ||
| 650 | 4 | |a Henstock-Kurzweil integral | |
| 650 | 4 | |a Lebesgue integral | |
| 650 | 4 | |a Calculus, Integral | |
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| 650 | 0 | 7 | |a Riemannsches Integral |0 (DE-588)4049996-0 |2 gnd |9 rswk-swf |
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| author | Lee, Tuo Yeong 1967- |
| author_facet | Lee, Tuo Yeong 1967- |
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| author_sort | Lee, Tuo Yeong 1967- |
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| 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 |
| format | Electronic eBook |
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| id | DE-604.BV044638247 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:52Z |
| institution | BVB |
| isbn | 9789814324595 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030036221 |
| oclc_num | 839020955 |
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| physical | ix, 314 p |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2011 |
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| publisher | World Scientific Pub. Co. |
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| series2 | Series in real analysis |
| spelling | Lee, Tuo Yeong 1967- Verfasser aut Henstock-Kurzweil integration on Euclidean spaces Lee Tuo Yeong Singapore World Scientific Pub. Co. c2011 ix, 314 p txt rdacontent c rdamedia cr rdacarrier Series in real analysis v. 12 The Henstock-Kurzweil integral, which is also known as the generalized Riemann integral, arose from a slight modification of the classical Riemann integral more than 50 years ago. This relatively new integral is known to be equivalent to the classical Perron integral; in particular, it includes the powerful Lebesgue integral. This book presents an introduction of the multiple Henstock-Kurzweil integral. Along with the classical results, this book contains some recent developments connected with measures, multiple integration by parts, and multiple Fourier series. The book can be understood with a prerequisite of advanced calculus Henstock-Kurzweil integral Lebesgue integral Calculus, Integral Henstock-Integration (DE-588)4159545-2 gnd rswk-swf Lebesgue-Integral (DE-588)4034949-4 gnd rswk-swf Riemannsches Integral (DE-588)4049996-0 gnd rswk-swf Riemannsches Integral (DE-588)4049996-0 s Lebesgue-Integral (DE-588)4034949-4 s Henstock-Integration (DE-588)4159545-2 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789814324588 Erscheint auch als Druck-Ausgabe 9814324582 http://www.worldscientific.com/worldscibooks/10.1142/7933#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lee, Tuo Yeong 1967- Henstock-Kurzweil integration on Euclidean spaces Henstock-Kurzweil integral Lebesgue integral Calculus, Integral Henstock-Integration (DE-588)4159545-2 gnd Lebesgue-Integral (DE-588)4034949-4 gnd Riemannsches Integral (DE-588)4049996-0 gnd |
| subject_GND | (DE-588)4159545-2 (DE-588)4034949-4 (DE-588)4049996-0 |
| title | Henstock-Kurzweil integration on Euclidean spaces |
| title_auth | Henstock-Kurzweil integration on Euclidean spaces |
| title_exact_search | Henstock-Kurzweil integration on Euclidean spaces |
| title_full | Henstock-Kurzweil integration on Euclidean spaces Lee Tuo Yeong |
| title_fullStr | Henstock-Kurzweil integration on Euclidean spaces Lee Tuo Yeong |
| title_full_unstemmed | Henstock-Kurzweil integration on Euclidean spaces Lee Tuo Yeong |
| title_short | Henstock-Kurzweil integration on Euclidean spaces |
| title_sort | henstock kurzweil integration on euclidean spaces |
| topic | Henstock-Kurzweil integral Lebesgue integral Calculus, Integral Henstock-Integration (DE-588)4159545-2 gnd Lebesgue-Integral (DE-588)4034949-4 gnd Riemannsches Integral (DE-588)4049996-0 gnd |
| topic_facet | Henstock-Kurzweil integral Lebesgue integral Calculus, Integral Henstock-Integration Lebesgue-Integral Riemannsches Integral |
| url | http://www.worldscientific.com/worldscibooks/10.1142/7933#t=toc |
| work_keys_str_mv | AT leetuoyeong henstockkurzweilintegrationoneuclideanspaces |