A primer of Lebesgue integration:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
San Diego
Academic Press
c2002
|
Ausgabe: | 2nd ed |
Schlagworte: | |
Online-Zugang: | FAW01 FAW02 Volltext |
Beschreibung: | Includes index The Lebesgue integral is now standard for both applications and advanced mathematics. This books starts with a review of the familiar calculus integral and then constructs the Lebesgue integral from the ground up using the same ideas. A Primer of Lebesgue Integration has been used successfully both in the classroom and for individual study. Bear presents a clear and simple introduction for those intent on further study in higher mathematics. Additionally, this book serves as a refresher providing new insight for those in the field. The author writes with an engaging, commonsense style that appeals to readers at all levels The Riemann-Darboux Integral; The Riemann Integral as a Limit of Sums; Lebesgue Measure on (0, 1); -- Measurable Sets: The Caratheodory Characterization; -- The Lebesgue Integral for Bounded Functions; Properties of the Integral; The Integral of Unbounded Functions; Differentiation and Integration; Plane Measure; The Relationship between æ and General Measures; Integration for General Measures; More Integration: The Radon-Nikodym Theorem; Product Measures; The Space L2; Index |
Beschreibung: | 1 Online-Ressource (xi, 164 p.) |
ISBN: | 0080525733 0120839717 9780080525730 9780120839711 |
Internformat
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100 | 1 | |a Bear, H. S. |d 1929- |e Verfasser |0 (DE-588)1066401306 |4 aut | |
245 | 1 | 0 | |a A primer of Lebesgue integration |c H.S. Bear |
250 | |a 2nd ed | ||
264 | 1 | |a San Diego |b Academic Press |c c2002 | |
300 | |a 1 Online-Ressource (xi, 164 p.) | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
500 | |a Includes index | ||
500 | |a The Lebesgue integral is now standard for both applications and advanced mathematics. This books starts with a review of the familiar calculus integral and then constructs the Lebesgue integral from the ground up using the same ideas. A Primer of Lebesgue Integration has been used successfully both in the classroom and for individual study. Bear presents a clear and simple introduction for those intent on further study in higher mathematics. Additionally, this book serves as a refresher providing new insight for those in the field. The author writes with an engaging, commonsense style that appeals to readers at all levels | ||
500 | |a The Riemann-Darboux Integral; The Riemann Integral as a Limit of Sums; Lebesgue Measure on (0, 1); -- Measurable Sets: The Caratheodory Characterization; -- The Lebesgue Integral for Bounded Functions; Properties of the Integral; The Integral of Unbounded Functions; Differentiation and Integration; Plane Measure; The Relationship between æ and General Measures; Integration for General Measures; More Integration: The Radon-Nikodym Theorem; Product Measures; The Space L2; Index | ||
650 | 7 | |a MATHEMATICS / Calculus |2 bisacsh | |
650 | 7 | |a MATHEMATICS / Mathematical Analysis |2 bisacsh | |
650 | 7 | |a Lebesgue integral |2 fast | |
650 | 4 | |a Lebesgue integral | |
650 | 0 | 7 | |a Lebesgue-Integral |0 (DE-588)4034949-4 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
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any_adam_object | |
author | Bear, H. S. 1929- |
author_GND | (DE-588)1066401306 |
author_facet | Bear, H. S. 1929- |
author_role | aut |
author_sort | Bear, H. S. 1929- |
author_variant | h s b hs hsb |
building | Verbundindex |
bvnumber | BV043044576 |
collection | ZDB-4-EBA |
ctrlnum | (OCoLC)162129511 (DE-599)BVBBV043044576 |
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 243 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
edition | 2nd ed |
format | Electronic eBook |
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illustrated | Not Illustrated |
indexdate | 2024-07-10T07:15:51Z |
institution | BVB |
isbn | 0080525733 0120839717 9780080525730 9780120839711 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028469113 |
oclc_num | 162129511 |
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owner_facet | DE-1046 DE-1047 |
physical | 1 Online-Ressource (xi, 164 p.) |
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publishDate | 2002 |
publishDateSearch | 2002 |
publishDateSort | 2002 |
publisher | Academic Press |
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spelling | Bear, H. S. 1929- Verfasser (DE-588)1066401306 aut A primer of Lebesgue integration H.S. Bear 2nd ed San Diego Academic Press c2002 1 Online-Ressource (xi, 164 p.) txt rdacontent c rdamedia cr rdacarrier Includes index The Lebesgue integral is now standard for both applications and advanced mathematics. This books starts with a review of the familiar calculus integral and then constructs the Lebesgue integral from the ground up using the same ideas. A Primer of Lebesgue Integration has been used successfully both in the classroom and for individual study. Bear presents a clear and simple introduction for those intent on further study in higher mathematics. Additionally, this book serves as a refresher providing new insight for those in the field. The author writes with an engaging, commonsense style that appeals to readers at all levels The Riemann-Darboux Integral; The Riemann Integral as a Limit of Sums; Lebesgue Measure on (0, 1); -- Measurable Sets: The Caratheodory Characterization; -- The Lebesgue Integral for Bounded Functions; Properties of the Integral; The Integral of Unbounded Functions; Differentiation and Integration; Plane Measure; The Relationship between æ and General Measures; Integration for General Measures; More Integration: The Radon-Nikodym Theorem; Product Measures; The Space L2; Index MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Lebesgue integral fast Lebesgue integral Lebesgue-Integral (DE-588)4034949-4 gnd rswk-swf Lebesgue-Integral (DE-588)4034949-4 s 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=198936 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Bear, H. S. 1929- A primer of Lebesgue integration MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Lebesgue integral fast Lebesgue integral Lebesgue-Integral (DE-588)4034949-4 gnd |
subject_GND | (DE-588)4034949-4 |
title | A primer of Lebesgue integration |
title_auth | A primer of Lebesgue integration |
title_exact_search | A primer of Lebesgue integration |
title_full | A primer of Lebesgue integration H.S. Bear |
title_fullStr | A primer of Lebesgue integration H.S. Bear |
title_full_unstemmed | A primer of Lebesgue integration H.S. Bear |
title_short | A primer of Lebesgue integration |
title_sort | a primer of lebesgue integration |
topic | MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Lebesgue integral fast Lebesgue integral Lebesgue-Integral (DE-588)4034949-4 gnd |
topic_facet | MATHEMATICS / Calculus MATHEMATICS / Mathematical Analysis Lebesgue integral Lebesgue-Integral |
url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=198936 |
work_keys_str_mv | AT bearhs aprimeroflebesgueintegration |