Holdings: Problems in mathematical analysis

Problems in mathematical analysis: 2 Continuity and differentiation

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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 2001
Series:	Student mathematical library 12
Online Access:	Inhaltsverzeichnis
Physical Description:	XIV, 398 S. graph. Darst.
ISBN:	0821820516

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MARC


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Record in the Search Index

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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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isbn	0821820516
language	English
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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 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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