Real analysis with point-set topology:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Dekker
1987
|
| Schriftenreihe: | Pure and applied mathematics
113 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 287 S. |
| ISBN: | 0824777905 |
Internformat
MARC
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| 100 | 1 | |a Stancl, Donald L. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Real analysis with point-set topology |c Donald L. Stancl ; Mildred L. Stancl |
| 264 | 1 | |a New York [u.a.] |b Dekker |c 1987 | |
| 300 | |a X, 287 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pure and applied mathematics |v 113 | |
| 650 | 4 | |a Analyse mathématique | |
| 650 | 7 | |a Analyse mathématique |2 ram | |
| 650 | 4 | |a Análisis matemático | |
| 650 | 4 | |a Calcul infinitésimal | |
| 650 | 4 | |a Exercice analyse | |
| 650 | 7 | |a Fonctions d'une variable réelle |2 ram | |
| 650 | 4 | |a Fonctions de variables réelles | |
| 650 | 4 | |a Funciones de variable real | |
| 650 | 4 | |a Topologie | |
| 650 | 4 | |a Topologie générale | |
| 650 | 7 | |a Topologie |2 ram | |
| 650 | 4 | |a Topología | |
| 650 | 4 | |a Functions of real variables | |
| 650 | 4 | |a Mathematical analysis | |
| 650 | 4 | |a Topology | |
| 650 | 0 | 7 | |a Analysis |0 (DE-588)4001865-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Analysis |0 (DE-588)4001865-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Stancl, Mildred L. |e Verfasser |4 aut | |
| 830 | 0 | |a Pure and applied mathematics |v 113 |w (DE-604)BV000001885 |9 113 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-001399421 | ||
Datensatz im Suchindex
| _version_ | 1804116587997822976 |
|---|---|
| adam_text | Contents
Preface v
1 Sets and Functions 1
1.1 Sets 1
1.2 Functions 16
1.3 Finite and Infinite Sets 31
2 The Real Numbers 41
2.1 Properties of Real Numbers 41
2.2 Construction of the Real Numbers 51
3 Topology 57
3.1 Topological Spaces 57
3.2 Open Sets and Closed Sets 66
4 Continuous Functions 75
4.1 Continuity 75
4.2 Connectedness and Compactness 90
5 Sequences and Series 107
5.1 Sequences 107
5.2 Real Sequences 116
ix
x Contents
5.3 Infinite Series 126
5.4 Functional Limits 134
6 Metric Spaces 139
6.1 The Metric Topology 139
6.2 Continuity in Metric Spaces 149
6.3 Sequences in Metric Spaces 156
6.4 Completion of Metric Spaces 165
7 Sequences of Functions 177
7.1 Pointwise and Uniform Convergence 177
7.2 Function Spaces and Uniform Approximation 190
8 Calculus 201
8.1 The Riemann Integral 201
8.2 Properties of the Integral 226
8.3 The Derivative 241
Appendix: Cardinal Numbers 265
Bibliography 281
Index 283
|
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| ctrlnum | (OCoLC)16006524 (DE-599)BVBBV002134028 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002134028 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:40:53Z |
| institution | BVB |
| isbn | 0824777905 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001399421 |
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| physical | X, 287 S. |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Stancl, Donald L. Verfasser aut Real analysis with point-set topology Donald L. Stancl ; Mildred L. Stancl New York [u.a.] Dekker 1987 X, 287 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 113 Analyse mathématique Analyse mathématique ram Análisis matemático Calcul infinitésimal Exercice analyse Fonctions d'une variable réelle ram Fonctions de variables réelles Funciones de variable real Topologie Topologie générale Topologie ram Topología Functions of real variables Mathematical analysis Topology Analysis (DE-588)4001865-9 gnd rswk-swf Analysis (DE-588)4001865-9 s DE-604 Stancl, Mildred L. Verfasser aut Pure and applied mathematics 113 (DE-604)BV000001885 113 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001399421&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stancl, Donald L. Stancl, Mildred L. Real analysis with point-set topology Pure and applied mathematics Analyse mathématique Analyse mathématique ram Análisis matemático Calcul infinitésimal Exercice analyse Fonctions d'une variable réelle ram Fonctions de variables réelles Funciones de variable real Topologie Topologie générale Topologie ram Topología Functions of real variables Mathematical analysis Topology Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4001865-9 |
| title | Real analysis with point-set topology |
| title_auth | Real analysis with point-set topology |
| title_exact_search | Real analysis with point-set topology |
| title_full | Real analysis with point-set topology Donald L. Stancl ; Mildred L. Stancl |
| title_fullStr | Real analysis with point-set topology Donald L. Stancl ; Mildred L. Stancl |
| title_full_unstemmed | Real analysis with point-set topology Donald L. Stancl ; Mildred L. Stancl |
| title_short | Real analysis with point-set topology |
| title_sort | real analysis with point set topology |
| topic | Analyse mathématique Analyse mathématique ram Análisis matemático Calcul infinitésimal Exercice analyse Fonctions d'une variable réelle ram Fonctions de variables réelles Funciones de variable real Topologie Topologie générale Topologie ram Topología Functions of real variables Mathematical analysis Topology Analysis (DE-588)4001865-9 gnd |
| topic_facet | Analyse mathématique Análisis matemático Calcul infinitésimal Exercice analyse Fonctions d'une variable réelle Fonctions de variables réelles Funciones de variable real Topologie Topologie générale Topología Functions of real variables Mathematical analysis Topology Analysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001399421&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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