Measure, integral, derivative: a course on Lebesgue's theory
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2013
|
| Series: | Universitext
|
| Subjects: | |
| Online Access: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9781461471950 9781461471967 |
| DOI: | 10.1007/978-1-4614-7196-7 |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | MEASURE, INTEGRAL, DERIVATIVE
/ OVCHINNIKOV, SERGEI
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1 PRELIMINARIES
2 LEBESGUE MEASURE
3 LEBESGUE INTEGRATION
4 DIFFERENTIATION AND INTEGRATION
A MEASURE AND INTEGRAL OVER UNBOUNDED SETS
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
MEASURE, INTEGRAL, DERIVATIVE
/ OVCHINNIKOV, SERGEI
: 2013
ABSTRACT / INHALTSTEXT
THIS CLASSROOM-TESTED TEXT IS INTENDED FOR A ONE-SEMESTER COURSE IN
LEBESGUE’S THEORY. WITH OVER 180 EXERCISES, THE TEXTTAKES AN
ELEMENTARY APPROACH, MAKING ITEASILY ACCESSIBLE TOBOTH
UPPER-UNDERGRADUATE- AND LOWER-GRADUATE-LEVEL STUDENTS. THE THREE MAIN
TOPICS PRESENTED ARE MEASURE, INTEGRATION, AND DIFFERENTIATION, AND THE
ONLY PREREQUISITE IS A COURSE IN ELEMENTARY REAL ANALYSIS. IN ORDER TO
KEEP THE BOOK SELF-CONTAINED, AN INTRODUCTORY CHAPTER IS INCLUDED WITH
THE INTENT TO FILL THE GAP BETWEEN WHAT THE STUDENT MAY HAVE LEARNED
BEFORE AND WHAT IS REQUIRED TO FULLY UNDERSTAND THE CONSEQUENT TEXT.
PROOFS OF DIFFICULT RESULTS, SUCH AS THE DIFFERENTIABILITY PROPERTY OF
FUNCTIONS OF BOUNDED VARIATIONS, ARE DISSECTED INTO SMALL STEPS IN ORDER
TO BE ACCESSIBLE TO STUDENTS. WITH THE EXCEPTION OF A FEW SIMPLE
STATEMENTS, ALL RESULTS ARE PROVEN IN THE TEXT. THE PRESENTATION IS
ELEMENTARY, WHERE Σ-ALGEBRAS ARE NOT USED IN THE TEXT ON MEASURE THEORY
AND DINI’S DERIVATIVES ARE NOT USED IN THE CHAPTER ON DIFFERENTIATION.
HOWEVER, ALL THE MAIN RESULTS OF LEBESGUE’S THEORY ARE FOUND IN THE
BOOK
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Ovchinnikov, Sergei 1950- |
| author_GND | (DE-588)1029590540 |
| author_facet | Ovchinnikov, Sergei 1950- |
| author_role | aut |
| author_sort | Ovchinnikov, Sergei 1950- |
| author_variant | s o so |
| building | Verbundindex |
| bvnumber | BV041043455 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)1074299227 (DE-599)DNB1034077937 |
| 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 |
| doi_str_mv | 10.1007/978-1-4614-7196-7 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T00:38:25Z |
| institution | BVB |
| isbn | 9781461471950 9781461471967 |
| language | English |
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| spelling | Ovchinnikov, Sergei 1950- Verfasser (DE-588)1029590540 aut Measure, integral, derivative a course on Lebesgue's theory Sergei Ovchinnikov Berlin [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Universitext Lebesgue-Integral (DE-588)4034949-4 gnd rswk-swf Maßtheorie (DE-588)4074626-4 gnd rswk-swf Integrationstheorie (DE-588)4138369-2 gnd rswk-swf Lebesgue-Maß (DE-588)4240914-7 gnd rswk-swf Maßtheorie (DE-588)4074626-4 s Integrationstheorie (DE-588)4138369-2 s Lebesgue-Maß (DE-588)4240914-7 s Lebesgue-Integral (DE-588)4034949-4 s 1\p DE-604 https://doi.org/10.1007/978-1-4614-7196-7 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026020824&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026020824&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ovchinnikov, Sergei 1950- Measure, integral, derivative a course on Lebesgue's theory Lebesgue-Integral (DE-588)4034949-4 gnd Maßtheorie (DE-588)4074626-4 gnd Integrationstheorie (DE-588)4138369-2 gnd Lebesgue-Maß (DE-588)4240914-7 gnd |
| subject_GND | (DE-588)4034949-4 (DE-588)4074626-4 (DE-588)4138369-2 (DE-588)4240914-7 |
| title | Measure, integral, derivative a course on Lebesgue's theory |
| title_auth | Measure, integral, derivative a course on Lebesgue's theory |
| title_exact_search | Measure, integral, derivative a course on Lebesgue's theory |
| title_full | Measure, integral, derivative a course on Lebesgue's theory Sergei Ovchinnikov |
| title_fullStr | Measure, integral, derivative a course on Lebesgue's theory Sergei Ovchinnikov |
| title_full_unstemmed | Measure, integral, derivative a course on Lebesgue's theory Sergei Ovchinnikov |
| title_short | Measure, integral, derivative |
| title_sort | measure integral derivative a course on lebesgue s theory |
| title_sub | a course on Lebesgue's theory |
| topic | Lebesgue-Integral (DE-588)4034949-4 gnd Maßtheorie (DE-588)4074626-4 gnd Integrationstheorie (DE-588)4138369-2 gnd Lebesgue-Maß (DE-588)4240914-7 gnd |
| topic_facet | Lebesgue-Integral Maßtheorie Integrationstheorie Lebesgue-Maß |
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