A primer of Lebesgue integration:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
San Diego [u.a.]
Acad. Press
2002
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 164 S. |
| ISBN: | 0120839717 |
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Record in the Search Index
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| adam_text | Titel: A primer of Lebesgue integration
Autor: Bear, Herbert Stanley
Jahr: 2002
A Primer of
Lebesgue Integration
Second Edition
H.S. Bear
Department of Mathematics
University of Hawaii at Manoa
Honolulu, Hawaii
ACADEMIC PRESS
A Harcourt Science and Technology Company
San Diego New York Boston
London Sydney Tokyo Toronto
CONTENTS
Preface to the First Edition vii
Preface to the Second Edition xi
1. The Riemann-Darboux Integral 1
2. The Riemann Integral as a Limit of Sums 9
3. Lebesgue Measure on (0,1) 21
4. Measurable Sets: The Caratheodory
Characterization 27
5. The Lebesgue Integral for Bounded Functions 43
6. Properties of the Integral 53
7. The Integral of Unbounded Functions 61
8. Differentiation and Integration 73
9. Plane Measure 85
10. The Relationship between $ and k 93
11. General Measures 107
12. Integration for General Measures 117
13. More Integration: The Radon-Nikodym Theorem... 127
14. Product Measures 135
15. The Space L2
149
Index 161
|
| any_adam_object | 1 |
| author | Bear, H. S. 1929- |
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| 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 | 2. ed. |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:55:32Z |
| institution | BVB |
| isbn | 0120839717 |
| language | English |
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| physical | XI, 164 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
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| publisher | Acad. Press |
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| spelling | Bear, H. S. 1929- Verfasser (DE-588)1066401306 aut A primer of Lebesgue integration H. S. Bear 2. ed. San Diego [u.a.] Acad. Press 2002 XI, 164 S. txt rdacontent n rdamedia nc rdacarrier Lebesgue integral Lebesgue-Integral (DE-588)4034949-4 gnd rswk-swf Lebesgue-Integral (DE-588)4034949-4 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009570699&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bear, H. S. 1929- A primer of Lebesgue integration 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 | Lebesgue integral Lebesgue-Integral (DE-588)4034949-4 gnd |
| topic_facet | Lebesgue integral Lebesgue-Integral |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009570699&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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