Continuous functions of vector variables:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston [u.a.]
Birkhäuser
2002
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 207 S. graph. Darst. |
| ISBN: | 0817642730 3764342730 |
Internformat
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Datensatz im Suchindex
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| adam_text | ALBERTO GUZMAN CONTINUOUS FUNCTIONS OF VECTOR VARIABLES BIRKHAUSER
BOSTON * BASEL * BERLIN CONTENTS PREFACE IX 1 EUCLIDEAN SPACE 1 1.1
MULTIPLE VARIABLES 1 1.2 POINTS AND LINES IN A VECTOR SPACE 3 1.3 INNER
PRODUCTS AND THE GEOMETRY OF R 7 1.4 NORMS AND THE DEFINITION OF
EUCLIDEAN SPACE 13 1.5 METRICS 18 1.6 INFINITE-DIMENSIONAL SPACES 23 2
SEQUENCES IN NORMED SPACES 33 2.1 NEIGHBORHOODS IN A NORMED SPACE 33 2.2
SEQUENCES AND CONVERGENCE 37 2.3 CONVERGENCE IN EUCLIDEAN SPACE 42 2.4
CONVERGENCE IN AN INFINITE-DIMENSIONAL SPACE 48 3 LIMITS AND CONTINUITY
IN NORMED SPACES 55 3.1 VECTOR-VALUED FUNCTIONS IN EUCLIDEAN SPACE 55
3.2 LIMITS OF FUNCTIONS IN NORMED SPACES 58 3.3 FINITE LIMITS 65 3.4
CONTINUITY 73 3.5 CONTINUITY IN INFINITE-DIMENSIONAL SPACES 78 4
CHARACTERISTICS OF CONTINUOUS FUNCTIONS 85 4.1 CONTINUOUS FUNCTIONS ON
BOXES IN EUCLIDEAN SPACE 85 VIII CONTENTS 4.2 CONTINUOUS FUNCTIONS ON
BOUNDED CLOSED SUBSETS OF EUCLIDEAN SPACE 90 4.3 EXTREME VALUES AND
SEQUENTIALLY COMPACT SETS . 95 4.4 CONTINUOUS FUNCTIONS AND OPEN SETS
100 4.5 CONTINUOUS FUNCTIONS ON CONNECTED SETS 105 4.6
FINITE-DIMENSIONAL SUBSPACES OF NORMED LINEAR SPACES . . . .111 5
TOPOLOGY IN NORMED SPACES 119 5.1 CONNECTED SETS 119 5.2 OPEN SETS 124
5.3 CLOSED SETS 129 5.4 INTERIOR, BOUNDARY, AND CLOSURE 133 5.5 COMPACT
SETS 140 5.6 COMPACTNESS IN INFINITE DIMENSIONS 149 SOLUTIONS TO
EXERCISES 155 REFERENCES 203 INDEX 205
|
| any_adam_object | 1 |
| author | Guzman, Alberto |
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| building | Verbundindex |
| bvnumber | BV014217146 |
| callnumber-first | Q - Science |
| callnumber-label | QA331 |
| callnumber-raw | QA331.5 |
| callnumber-search | QA331.5 |
| callnumber-sort | QA 3331.5 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 280 SK 400 |
| ctrlnum | (OCoLC)48851302 (DE-599)BVBBV014217146 |
| dewey-full | 515/.73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.73 |
| dewey-search | 515/.73 |
| dewey-sort | 3515 273 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:59:47Z |
| institution | BVB |
| isbn | 0817642730 3764342730 |
| language | English |
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| physical | X, 207 S. graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
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| publisher | Birkhäuser |
| record_format | marc |
| spelling | Guzman, Alberto Verfasser aut Continuous functions of vector variables Alberto Guzman Boston [u.a.] Birkhäuser 2002 X, 207 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Functions, Continuous Normed linear spaces Vector spaces Mehrere reelle Variable (DE-588)4202599-0 gnd rswk-swf Stetige Funktion (DE-588)4183162-7 gnd rswk-swf Vektorraum (DE-588)4130622-3 gnd rswk-swf Funktion Mathematik (DE-588)4071510-3 gnd rswk-swf Vektorraum (DE-588)4130622-3 s Stetige Funktion (DE-588)4183162-7 s DE-604 Funktion Mathematik (DE-588)4071510-3 s Mehrere reelle Variable (DE-588)4202599-0 s GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009747472&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Guzman, Alberto Continuous functions of vector variables Functions, Continuous Normed linear spaces Vector spaces Mehrere reelle Variable (DE-588)4202599-0 gnd Stetige Funktion (DE-588)4183162-7 gnd Vektorraum (DE-588)4130622-3 gnd Funktion Mathematik (DE-588)4071510-3 gnd |
| subject_GND | (DE-588)4202599-0 (DE-588)4183162-7 (DE-588)4130622-3 (DE-588)4071510-3 |
| title | Continuous functions of vector variables |
| title_auth | Continuous functions of vector variables |
| title_exact_search | Continuous functions of vector variables |
| title_full | Continuous functions of vector variables Alberto Guzman |
| title_fullStr | Continuous functions of vector variables Alberto Guzman |
| title_full_unstemmed | Continuous functions of vector variables Alberto Guzman |
| title_short | Continuous functions of vector variables |
| title_sort | continuous functions of vector variables |
| topic | Functions, Continuous Normed linear spaces Vector spaces Mehrere reelle Variable (DE-588)4202599-0 gnd Stetige Funktion (DE-588)4183162-7 gnd Vektorraum (DE-588)4130622-3 gnd Funktion Mathematik (DE-588)4071510-3 gnd |
| topic_facet | Functions, Continuous Normed linear spaces Vector spaces Mehrere reelle Variable Stetige Funktion Vektorraum Funktion Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009747472&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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