Holdings: Problems in mathematical analysis

Problems in mathematical analysis: I Real numbers, sequences and series

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Bibliographic Details
Main Authors:	Kaczor, Wiesława 1949- (Author), Nowak, Maria T. 1951- (Author)
Format:	Book
Language:	English
Published:	Providence, Rhode Island American Mathematical Society [2000]
Series:	Student mathematical library Volume 4
Online Access:	Inhaltsverzeichnis
Physical Description:	xiv, 380 Seiten
ISBN:	0821820508 9780821820506

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MARC


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Record in the Search Index

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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
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author	Kaczor, Wiesława 1949- Nowak, Maria T. 1951-
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indexdate	2024-07-09T18:43:06Z
institution	BVB
isbn	0821820508 9780821820506
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-009056954
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physical	xiv, 380 Seiten
publishDate	2000
publishDateSearch	2000
publishDateSort	2000
publisher	American Mathematical Society
record_format	marc
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 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
url	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
volume_link	(DE-604)BV013284842 (DE-604)BV013184751
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