Problems in mathematical analysis: 2 Continuity and differentiation
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
2001
|
| Schriftenreihe: | Student mathematical library
12 |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 398 S. graph. Darst. |
| ISBN: | 0821820516 |
Internformat
MARC
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Datensatz im Suchindex
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|---|---|
| adam_text | STUDENT MATHEMATICAL LIBRARY VOLUME 12 PROBLEMS IN MATHEMATICAL ANALYSIS
II CONTINUITY AND DIFFERENTIATION W J. KACZOR M. T. NOWAK IAMS AMERICAN
MATHEMATICAL SOCIETY CONTENTS PREFACE XI NOTATION AND TERMINOLOGY XIII
PROBLEMS CHAPTER 1. LIMITS AND CONTINUITY 1.1. THE LIMIT OF A FUNCTION 3
1.2. PROPERTIES OF CONTINUOUS FUNCTIONS 9 1.3. INTERMEDIATE VALUE
PROPERTY 14 1.4. SEMICONTINUOUS FUNCTIONS 18 1.5. UNIFORM CONTINUITY 24
1.6. FUNCTIONAL EQUATIONS 27 1.7. CONTINUOUS FUNCTIONS IN METRIC SPACES
32 CHAPTER 2. DIFFERENTIATION 2.1. THE DERIVATIVE OF A REAL FUNCTION 37
2.2. MEAN VALUE THEOREMS 45 2.3. TAYLOR S FORMULA AND L HOSPITAL S RULE
52 2.4. CONVEX FUNCTIONS 61 VN VIII CONTENTS 2.5. APPLICATIONS OF
DERIVATIVES 68 2.6. STRONG DIFFERENTIABILITY AND SCHWARZ
DIFFERENTIABILITY 77 CHAPTER 3. SEQUENCES AND SERIES OF FUNCTIONS 3.1.
SEQUENCES OF FUNCTIONS, UNIFORM CONVERGENCE 81 3.2. SERIES OF FUNCTIONS,
UNIFORM CONVERGENCE 87 3.3. POWER SERIES 96 3.4. TAYLOR SERIES 102
SOLUTIONS CHAPTER 1. LIMITS AND CONTINUITY 1.1. THE LIMIT OF A FUNCTION
111 1.2. PROPERTIES OF CONTINUOUS FUNCTIONS 129 1.3. INTERMEDIATE VALUE
PROPERTY 146 1.4. SEMICONTINUOUS FUNCTIONS 160 1.5. UNIFORM CONTINUITY
171 1.6. FUNCTIONAL EQUATIONS 181 1.7. CONTINUOUS FUNCTIONS IN METRIC
SPACES 198 CHAPTER 2. DIFFERENTIATION 2.1. THE DERIVATIVE OF A REAL
FUNCTION 211 2.2. MEAN VALUE THEOREMS 233 2.3. TAYLOR S FORMULA AND
L HOSPITAL S RULE 245 2.4. CONVEX FUNCTIONS 267 2.5. APPLICATIONS OF
DERIVATIVES 285 2.6. STRONG DIFFERENTIABILITY AND SCHWARZ
DIFFERENTIABILITY 310 CHAPTER 3. SEQUENCES AND SERIES OF FUNCTIONS 3.1.
SEQUENCES OF FUNCTIONS, UNIFORM CONVERGENCE 317 3.2. SERIES OF
FUNCTIONS, UNIFORM CONVERGENCE 336 3.3. POWER SERIES 355 CONTENTS IX
3.4. TAYLOR SERIES 372 BIBLIOGRAPHY - BOOKS 393 INDEX 397
|
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| author | Kaczor, Wiesława 1949- Nowak, Maria T. 1951- |
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| author_role | aut aut |
| author_sort | Kaczor, Wiesława 1949- |
| author_variant | w k wk m t n mt mtn |
| building | Verbundindex |
| bvnumber | BV014084792 |
| classification_rvk | SK 400 |
| ctrlnum | (OCoLC)247943388 (DE-599)BVBBV014084792 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014084792 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:57:22Z |
| institution | BVB |
| isbn | 0821820516 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009647996 |
| oclc_num | 247943388 |
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| physical | XIV, 398 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
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| publisher | American Mathematical Society |
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| series | Student mathematical library |
| series2 | Student mathematical library |
| spelling | Kaczor, Wiesława 1949- Verfasser (DE-588)1146450281 aut Zadania z analizy matematycznej Problems in mathematical analysis 2 Continuity and differentiation W. J. Kaczor ; M. T. Nowak Providence, Rhode Island American Mathematical Society 2001 XIV, 398 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Student mathematical library 12 Student mathematical library Nowak, Maria T. 1951- Verfasser (DE-588)136032249 aut (DE-604)BV013284842 2 Student mathematical library 12 (DE-604)BV013184751 12 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009647996&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kaczor, Wiesława 1949- Nowak, Maria T. 1951- Problems in mathematical analysis Student mathematical library |
| title | Problems in mathematical analysis |
| title_alt | Zadania z analizy matematycznej |
| title_auth | Problems in mathematical analysis |
| title_exact_search | Problems in mathematical analysis |
| title_full | Problems in mathematical analysis 2 Continuity and differentiation W. J. Kaczor ; M. T. Nowak |
| title_fullStr | Problems in mathematical analysis 2 Continuity and differentiation W. J. Kaczor ; M. T. Nowak |
| title_full_unstemmed | Problems in mathematical analysis 2 Continuity and differentiation W. J. Kaczor ; M. T. Nowak |
| title_short | Problems in mathematical analysis |
| title_sort | problems in mathematical analysis continuity and differentiation |
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