Introduction to gauge integrals:
This book presents the Henstock/Kurzweil integral and the McShane integral. These two integrals are obtained by changing slightly the definition of the Riemann integral. These variations lead to integrals which are much more powerful than the Riemann integral. The Henstock/Kurzweil integral is an un...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c2001
|
| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | This book presents the Henstock/Kurzweil integral and the McShane integral. These two integrals are obtained by changing slightly the definition of the Riemann integral. These variations lead to integrals which are much more powerful than the Riemann integral. The Henstock/Kurzweil integral is an unconditional integral for which the fundamental theorem of calculus holds in full generality, while the McShane integral is equivalent to the Lebesgue integral in Euclidean spaces. A basic knowledge of introductory real analysis is required of the reader, who should be familiar with the fundamental properties of the real numbers, convergence, series, differentiation, continuity, etc |
| Physical Description: | x, 157 p |
| ISBN: | 9789812810656 |
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MARC
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| 300 | |a x, 157 p | ||
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| 520 | |a This book presents the Henstock/Kurzweil integral and the McShane integral. These two integrals are obtained by changing slightly the definition of the Riemann integral. These variations lead to integrals which are much more powerful than the Riemann integral. The Henstock/Kurzweil integral is an unconditional integral for which the fundamental theorem of calculus holds in full generality, while the McShane integral is equivalent to the Lebesgue integral in Euclidean spaces. A basic knowledge of introductory real analysis is required of the reader, who should be familiar with the fundamental properties of the real numbers, convergence, series, differentiation, continuity, etc | ||
| 650 | 4 | |a Henstock-Kurzweil integral | |
| 650 | 4 | |a McShane integral | |
| 650 | 0 | 7 | |a Henstock-Integration |0 (DE-588)4159545-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Riemannsches Integral |0 (DE-588)4049996-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Riemannsches Integral |0 (DE-588)4049996-0 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Henstock-Integration |0 (DE-588)4159545-2 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
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| author | Swartz, Charles 1938- |
| author_GND | (DE-588)131653601 |
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| author_sort | Swartz, Charles 1938- |
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515.43 |
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| format | Electronic eBook |
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| id | DE-604.BV044636125 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:48Z |
| institution | BVB |
| isbn | 9789812810656 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030034096 |
| oclc_num | 1012624450 |
| open_access_boolean | |
| owner | DE-92 |
| owner_facet | DE-92 |
| physical | x, 157 p |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| spelling | Swartz, Charles 1938- Verfasser (DE-588)131653601 aut Introduction to gauge integrals Charles Swartz Gauge integrals Singapore World Scientific Pub. Co. c2001 x, 157 p txt rdacontent c rdamedia cr rdacarrier This book presents the Henstock/Kurzweil integral and the McShane integral. These two integrals are obtained by changing slightly the definition of the Riemann integral. These variations lead to integrals which are much more powerful than the Riemann integral. The Henstock/Kurzweil integral is an unconditional integral for which the fundamental theorem of calculus holds in full generality, while the McShane integral is equivalent to the Lebesgue integral in Euclidean spaces. A basic knowledge of introductory real analysis is required of the reader, who should be familiar with the fundamental properties of the real numbers, convergence, series, differentiation, continuity, etc Henstock-Kurzweil integral McShane integral Henstock-Integration (DE-588)4159545-2 gnd rswk-swf Riemannsches Integral (DE-588)4049996-0 gnd rswk-swf Riemannsches Integral (DE-588)4049996-0 s 1\p DE-604 Henstock-Integration (DE-588)4159545-2 s 2\p DE-604 Erscheint auch als Druck-Ausgabe 9789810242398 Erscheint auch als Druck-Ausgabe 9810242395 http://www.worldscientific.com/worldscibooks/10.1142/4361#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Swartz, Charles 1938- Introduction to gauge integrals Henstock-Kurzweil integral McShane integral Henstock-Integration (DE-588)4159545-2 gnd Riemannsches Integral (DE-588)4049996-0 gnd |
| subject_GND | (DE-588)4159545-2 (DE-588)4049996-0 |
| title | Introduction to gauge integrals |
| title_alt | Gauge integrals |
| title_auth | Introduction to gauge integrals |
| title_exact_search | Introduction to gauge integrals |
| title_full | Introduction to gauge integrals Charles Swartz |
| title_fullStr | Introduction to gauge integrals Charles Swartz |
| title_full_unstemmed | Introduction to gauge integrals Charles Swartz |
| title_short | Introduction to gauge integrals |
| title_sort | introduction to gauge integrals |
| topic | Henstock-Kurzweil integral McShane integral Henstock-Integration (DE-588)4159545-2 gnd Riemannsches Integral (DE-588)4049996-0 gnd |
| topic_facet | Henstock-Kurzweil integral McShane integral Henstock-Integration Riemannsches Integral |
| url | http://www.worldscientific.com/worldscibooks/10.1142/4361#t=toc |
| work_keys_str_mv | AT swartzcharles introductiontogaugeintegrals AT swartzcharles gaugeintegrals |