Measure Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1994
|
| Schriftenreihe: | Graduate Texts in Mathematics
143 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book was planned originally not as a work to be published, but as an excuse to buy a computer, incidentally to give me a chance to organize my own ideas ~n what measure theory every would-be analyst should learn, and to detail my approach to the subject. When it turned out that Springer-Verlag thought that the point of view in the book had general interest and offered to publish it, I was forced to try to write more clearly and search for errors. The search was productive. Readers will observe the stress on the following points. The application of pseudometric spaces. Pseudo metric, rather than metric spaces, are applied to obviate the artificial replacement of functions by equivalence classes, a replacement that makes the use of "almost everywhere" either improper or artificial. The words "function" and "the set on which a function has values at least E" can be taken literally in this book. Pseudometric space properties are applied in many contexts. For example, outer measures are used to pseudometrize classes of sets and the extension of a finite measure from an algebra to a 0" algebra is thereby reduced to finding the closure of a subset of a pseudo metric space |
| Beschreibung: | 1 Online-Ressource (XII, 212 p) |
| ISBN: | 9781461208778 9781461269311 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-0877-8 |
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Datensatz im Suchindex
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| author | Doob, J. L. |
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| dewey-full | 515.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.8 |
| dewey-search | 515.8 |
| dewey-sort | 3515.8 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0877-8 |
| format | Electronic eBook |
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| id | DE-604.BV042419656 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461208778 9781461269311 |
| issn | 0072-5285 |
| language | English |
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| physical | 1 Online-Ressource (XII, 212 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1994 |
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| publisher | Springer New York |
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| series2 | Graduate Texts in Mathematics |
| spelling | Doob, J. L. Verfasser aut Measure Theory by J. L. Doob New York, NY Springer New York 1994 1 Online-Ressource (XII, 212 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 143 0072-5285 This book was planned originally not as a work to be published, but as an excuse to buy a computer, incidentally to give me a chance to organize my own ideas ~n what measure theory every would-be analyst should learn, and to detail my approach to the subject. When it turned out that Springer-Verlag thought that the point of view in the book had general interest and offered to publish it, I was forced to try to write more clearly and search for errors. The search was productive. Readers will observe the stress on the following points. The application of pseudometric spaces. Pseudo metric, rather than metric spaces, are applied to obviate the artificial replacement of functions by equivalence classes, a replacement that makes the use of "almost everywhere" either improper or artificial. The words "function" and "the set on which a function has values at least E" can be taken literally in this book. Pseudometric space properties are applied in many contexts. For example, outer measures are used to pseudometrize classes of sets and the extension of a finite measure from an algebra to a 0" algebra is thereby reduced to finding the closure of a subset of a pseudo metric space Mathematics Real Functions Mathematik Maßtheorie (DE-588)4074626-4 gnd rswk-swf Maßtheorie (DE-588)4074626-4 s 1\p DE-604 https://doi.org/10.1007/978-1-4612-0877-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Doob, J. L. Measure Theory Mathematics Real Functions Mathematik Maßtheorie (DE-588)4074626-4 gnd |
| subject_GND | (DE-588)4074626-4 |
| title | Measure Theory |
| title_auth | Measure Theory |
| title_exact_search | Measure Theory |
| title_full | Measure Theory by J. L. Doob |
| title_fullStr | Measure Theory by J. L. Doob |
| title_full_unstemmed | Measure Theory by J. L. Doob |
| title_short | Measure Theory |
| title_sort | measure theory |
| topic | Mathematics Real Functions Mathematik Maßtheorie (DE-588)4074626-4 gnd |
| topic_facet | Mathematics Real Functions Mathematik Maßtheorie |
| url | https://doi.org/10.1007/978-1-4612-0877-8 |
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