Lectures on the theory of integration:
This book is intended to be self-contained, giving the theory of absolute (equivalent to Lebesgue) and non-absolute (equivalent to Denjoy-Perron) integration by using a simple extension of the Riemann integral. A useful tool for mathematicians and scientists needing advanced integration theory would...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1988
|
| Schriftenreihe: | Series in real analysis
v. 1 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | This book is intended to be self-contained, giving the theory of absolute (equivalent to Lebesgue) and non-absolute (equivalent to Denjoy-Perron) integration by using a simple extension of the Riemann integral. A useful tool for mathematicians and scientists needing advanced integration theory would be a method combining the ideas of the calculus of indefinite integral and Riemann definite integral in such a way that Lebesgue properties can be proved easily. Three important results that have not appeared in any other book distinguish this book from the rest. First a result on limits of sequences under the integral sign, secondly the necessary and sufficient conditions for the various limits under the integral sign and thirdly the application of these results to ordinary differential equations. The present book will give non-absolute integration theory just as easily as the absolute theory, and Stieltjes-type integration too |
| Beschreibung: | xii, 206 p |
| ISBN: | 9789814503303 |
Internformat
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| 490 | 0 | |a Series in real analysis |v v. 1 | |
| 520 | |a This book is intended to be self-contained, giving the theory of absolute (equivalent to Lebesgue) and non-absolute (equivalent to Denjoy-Perron) integration by using a simple extension of the Riemann integral. A useful tool for mathematicians and scientists needing advanced integration theory would be a method combining the ideas of the calculus of indefinite integral and Riemann definite integral in such a way that Lebesgue properties can be proved easily. Three important results that have not appeared in any other book distinguish this book from the rest. First a result on limits of sequences under the integral sign, secondly the necessary and sufficient conditions for the various limits under the integral sign and thirdly the application of these results to ordinary differential equations. The present book will give non-absolute integration theory just as easily as the absolute theory, and Stieltjes-type integration too | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Henstock, Ralph |
| author_facet | Henstock, Ralph |
| author_role | aut |
| author_sort | Henstock, Ralph |
| author_variant | r h rh |
| building | Verbundindex |
| bvnumber | BV044639370 |
| classification_rvk | SK 430 |
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| dewey-full | 515.42 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.42 |
| dewey-search | 515.42 |
| dewey-sort | 3515.42 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044639370 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:55Z |
| institution | BVB |
| isbn | 9789814503303 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030037343 |
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| owner | DE-92 |
| owner_facet | DE-92 |
| physical | xii, 206 p |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| series2 | Series in real analysis |
| spelling | Henstock, Ralph Verfasser aut Lectures on the theory of integration Ralph Henstock Singapore World Scientific Pub. Co. c1988 xii, 206 p txt rdacontent c rdamedia cr rdacarrier Series in real analysis v. 1 This book is intended to be self-contained, giving the theory of absolute (equivalent to Lebesgue) and non-absolute (equivalent to Denjoy-Perron) integration by using a simple extension of the Riemann integral. A useful tool for mathematicians and scientists needing advanced integration theory would be a method combining the ideas of the calculus of indefinite integral and Riemann definite integral in such a way that Lebesgue properties can be proved easily. Three important results that have not appeared in any other book distinguish this book from the rest. First a result on limits of sequences under the integral sign, secondly the necessary and sufficient conditions for the various limits under the integral sign and thirdly the application of these results to ordinary differential equations. The present book will give non-absolute integration theory just as easily as the absolute theory, and Stieltjes-type integration too Integrals, Generalized Integration, Functional Measure theory Integrationstheorie (DE-588)4138369-2 gnd rswk-swf Integrationstheorie (DE-588)4138369-2 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789971504502 Erscheint auch als Druck-Ausgabe 9971504502 Erscheint auch als Druck-Ausgabe 9971504510 pbk http://www.worldscientific.com/worldscibooks/10.1142/0510#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Henstock, Ralph Lectures on the theory of integration Integrals, Generalized Integration, Functional Measure theory Integrationstheorie (DE-588)4138369-2 gnd |
| subject_GND | (DE-588)4138369-2 |
| title | Lectures on the theory of integration |
| title_auth | Lectures on the theory of integration |
| title_exact_search | Lectures on the theory of integration |
| title_full | Lectures on the theory of integration Ralph Henstock |
| title_fullStr | Lectures on the theory of integration Ralph Henstock |
| title_full_unstemmed | Lectures on the theory of integration Ralph Henstock |
| title_short | Lectures on the theory of integration |
| title_sort | lectures on the theory of integration |
| topic | Integrals, Generalized Integration, Functional Measure theory Integrationstheorie (DE-588)4138369-2 gnd |
| topic_facet | Integrals, Generalized Integration, Functional Measure theory Integrationstheorie |
| url | http://www.worldscientific.com/worldscibooks/10.1142/0510#t=toc |
| work_keys_str_mv | AT henstockralph lecturesonthetheoryofintegration |