Problems in mathematical analysis: I Real numbers, sequences and series
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[2000]
|
| Schriftenreihe: | Student mathematical library
Volume 4 |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xiv, 380 Seiten |
| ISBN: | 0821820508 9780821820506 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | STUDENT MATHEMATICAL LIBRARY VOLUME 4 PROBLEMS IN MATHEMATICAL ANALYSIS
I REAL NUMBERS, SEQUENCES AND SERIES W. J. KACZOR M.T. NOWAK AM AMERICAN
MATHEMATICAL SOCIETY CONTENTS PREFACE XI NOTATION AND TERMINOLOGY XIII
PROBLEMS CHAPTER 1. REAL NUMBERS 1.1. SUPREMUM AND INFIMUM OF SETS OF
REAL NUMBERS. CONTINUED FRACTIONS 3 1.2. SOME ELEMENTARY INEQUALITIES 8
CHAPTER 2. SEQUENCES OF REAL NUMBERS 2.1. MONOTONIC SEQUENCES 19 2.2.
LIMITS. PROPERTIES OF CONVERGENT SEQUENCES 26 2.3. THE TOEPLITZ
TRANSFORMATION, THE STOLZ THEOREM AND THEIR APPLICATIONS 35 2.4. LIMIT
POINTS. LIMIT SUPERIOR AND LIMIT INFERIOR 40 2.5. MISCELLANEOUS PROBLEMS
47 CHAPTER 3. SERIES OF REAL NUMBERS 3.1. SUMMATION OF SERIES 63 VN VIII
CONTENTS 3.2. SERIES OF NONNEGATIVE TERMS 72 3.3. THE INTEGRAL TEST 88
3.4. SERIES OF POSITIVE AND NEGATIVE TERMS - CONVERGENCE, ABSOLUTE
CONVERGENCE. THEOREM OF LEIBNIZ 92 3.5. THE DIRICHLET AND ABEL TESTS 99
3.6. CAUCHY PRODUCT OF INFINITE SERIES 102 3.7. REARRANGEMENT OF SERIES.
DOUBLE SERIES 105 3.8. INFINITE PRODUCTS 112 SOLUTIONS CHAPTER 1. REAL
NUMBERS 1.1. SUPREMUM AND INFIMUM OF SETS OF REAL NUMBERS. CONTINUED
FRACTIONS 125 1.2. SOME ELEMENTARY INEQUALITIES 136 CHAPTER 2. SEQUENCES
OF REAL NUMBERS 2.1. MONOTONIC SEQUENCES 151 2.2. LIMITS. PROPERTIES OF
CONVERGENT SEQUENCES 162 2.3. THE TOEPLITZ TRANSFORMATION, THE STOLZ
THEOREM AND THEIR APPLICATIONS 181 2.4. LIMIT POINTS. LIMIT SUPERIOR AND
LIMIT INFERIOR 189 2.5. MISCELLANEOUS PROBLEMS 208 CHAPTER 3. SERIES OF
REAL NUMBERS 3.1. SUMMATION OF SERIES 245 3.2. SERIES OF NONNEGATIVE
TERMS 269 3.3. THE INTEGRAL TEST 302 3.4. SERIES OF POSITIVE AND
NEGATIVE TERMS - CONVERGENCE, ABSOLUTE CONVERGENCE. THEOREM OF LEIBNIZ
309 3.5. THE DIRICHLET AND ABEL TESTS 324 3.6. CAUCHY PRODUCT OF
INFINITE SERIES 333 CONTENTS IX 3.7. REARRANGEMENT OF SERIES. DOUBLE
SERIES 3.8. INFINITE PRODUCTS 342 360 BIBLIOGRAPHY - BOOKS 379
|
| any_adam_object | 1 |
| author | Kaczor, Wiesława 1949- Nowak, Maria T. 1951- |
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| author_sort | Kaczor, Wiesława 1949- |
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| ctrlnum | (OCoLC)179801822 (DE-599)BVBBV013284847 |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T18:43:06Z |
| institution | BVB |
| isbn | 0821820508 9780821820506 |
| language | English |
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| physical | xiv, 380 Seiten |
| publishDate | 2000 |
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| publisher | American Mathematical Society |
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| series | Student mathematical library |
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| spelling | Kaczor, Wiesława 1949- Verfasser (DE-588)1146450281 aut Zadania z analizy matematycznej Problems in mathematical analysis I Real numbers, sequences and series W. J. Kaczor ; M. T. Nowak Providence, Rhode Island American Mathematical Society [2000] xiv, 380 Seiten txt rdacontent n rdamedia nc rdacarrier Student mathematical library Volume 4 Student mathematical library Nowak, Maria T. 1951- Verfasser (DE-588)136032249 aut (DE-604)BV013284842 1 Erscheint auch als Online-Ausgabe 978-1-4704-2124-3 Student mathematical library Volume 4 (DE-604)BV013184751 4 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009056954&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 I Real numbers, sequences and series W. J. Kaczor ; M. T. Nowak |
| title_fullStr | Problems in mathematical analysis I Real numbers, sequences and series W. J. Kaczor ; M. T. Nowak |
| title_full_unstemmed | Problems in mathematical analysis I Real numbers, sequences and series W. J. Kaczor ; M. T. Nowak |
| title_short | Problems in mathematical analysis |
| title_sort | problems in mathematical analysis real numbers sequences and series |
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