Measures, integrals and martingales:
This book, first published in 2005, introduces measure and integration theory as it is needed in many parts of analysis and probability theory. The basic theory - measures, integrals, convergence theorems, Lp-spaces and multiple integrals - is explored in the first part of the book. The second part...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2005
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBM01 Volltext |
| Zusammenfassung: | This book, first published in 2005, introduces measure and integration theory as it is needed in many parts of analysis and probability theory. The basic theory - measures, integrals, convergence theorems, Lp-spaces and multiple integrals - is explored in the first part of the book. The second part then uses the notion of martingales to develop the theory further, covering topics such as Jacobi's generalized transformation Theorem, the Radon-Nikodym theorem, Hardy-Littlewood maximal functions or general Fourier series. Undergraduate calculus and an introductory course on rigorous analysis are the only essential prerequisites, making this text suitable for both lecture courses and for self-study. Numerous illustrations and exercises are included and these are not merely drill problems but are there to consolidate what has already been learnt and to discover variants, sideways and extensions to the main material. Hints and solutions can be found on the author's website, which can be reached from www.cambridge.org/9780521615259 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (x, 381 pages) |
| ISBN: | 9780511810886 |
| DOI: | 10.1017/CBO9780511810886 |
Internformat
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| 520 | |a This book, first published in 2005, introduces measure and integration theory as it is needed in many parts of analysis and probability theory. The basic theory - measures, integrals, convergence theorems, Lp-spaces and multiple integrals - is explored in the first part of the book. The second part then uses the notion of martingales to develop the theory further, covering topics such as Jacobi's generalized transformation Theorem, the Radon-Nikodym theorem, Hardy-Littlewood maximal functions or general Fourier series. Undergraduate calculus and an introductory course on rigorous analysis are the only essential prerequisites, making this text suitable for both lecture courses and for self-study. Numerous illustrations and exercises are included and these are not merely drill problems but are there to consolidate what has already been learnt and to discover variants, sideways and extensions to the main material. Hints and solutions can be found on the author's website, which can be reached from www.cambridge.org/9780521615259 | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Schilling, René L. 1969- |
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| author_sort | Schilling, René L. 1969- |
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| bvnumber | BV043942728 |
| classification_rvk | QH 150 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 Wirtschaftswissenschaften |
| doi_str_mv | 10.1017/CBO9780511810886 |
| format | Electronic eBook |
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| isbn | 9780511810886 |
| language | English |
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| spelling | Schilling, René L. 1969- Verfasser (DE-588)122050045 aut Measures, integrals and martingales René L. Schilling Measures, Integrals & Martingales Cambridge Cambridge University Press 2005 1 online resource (x, 381 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) This book, first published in 2005, introduces measure and integration theory as it is needed in many parts of analysis and probability theory. The basic theory - measures, integrals, convergence theorems, Lp-spaces and multiple integrals - is explored in the first part of the book. The second part then uses the notion of martingales to develop the theory further, covering topics such as Jacobi's generalized transformation Theorem, the Radon-Nikodym theorem, Hardy-Littlewood maximal functions or general Fourier series. Undergraduate calculus and an introductory course on rigorous analysis are the only essential prerequisites, making this text suitable for both lecture courses and for self-study. Numerous illustrations and exercises are included and these are not merely drill problems but are there to consolidate what has already been learnt and to discover variants, sideways and extensions to the main material. Hints and solutions can be found on the author's website, which can be reached from www.cambridge.org/9780521615259 Measure theory Integrals Martingales (Mathematics) Integrationstheorie (DE-588)4138369-2 gnd rswk-swf Maßtheorie (DE-588)4074626-4 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Maßtheorie (DE-588)4074626-4 s Integrationstheorie (DE-588)4138369-2 s 2\p DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-61525-9 Erscheint auch als Druck-Ausgabe 978-0-521-85015-5 https://doi.org/10.1017/CBO9780511810886 Verlag URL des Erstveröffentlichers 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 | Schilling, René L. 1969- Measures, integrals and martingales Measure theory Integrals Martingales (Mathematics) Integrationstheorie (DE-588)4138369-2 gnd Maßtheorie (DE-588)4074626-4 gnd |
| subject_GND | (DE-588)4138369-2 (DE-588)4074626-4 (DE-588)4151278-9 |
| title | Measures, integrals and martingales |
| title_alt | Measures, Integrals & Martingales |
| title_auth | Measures, integrals and martingales |
| title_exact_search | Measures, integrals and martingales |
| title_full | Measures, integrals and martingales René L. Schilling |
| title_fullStr | Measures, integrals and martingales René L. Schilling |
| title_full_unstemmed | Measures, integrals and martingales René L. Schilling |
| title_short | Measures, integrals and martingales |
| title_sort | measures integrals and martingales |
| topic | Measure theory Integrals Martingales (Mathematics) Integrationstheorie (DE-588)4138369-2 gnd Maßtheorie (DE-588)4074626-4 gnd |
| topic_facet | Measure theory Integrals Martingales (Mathematics) Integrationstheorie Maßtheorie Einführung |
| url | https://doi.org/10.1017/CBO9780511810886 |
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