Holdings: Continuous nowhere differentiable functions

Continuous nowhere differentiable functions: the monsters of analysis

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Bibliographic Details
Main Authors:	Jarnicki, Marek 1952- (Author), Pflug, Peter 1943- (Author)
Format:	Electronic eBook
Language:	English
Published:	Cham Springer [2015]
Series:	Springer monographs in mathematics
Subjects:	Mathematics Fourier analysis Functional analysis Functions of real variables Real Functions Fourier Analysis Functional Analysis Mathematik
Online Access:	BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online Ressource (XII, 299 Seiten, 15 illus. in color)
ISBN:	9783319126708
ISSN:	1439-7382
DOI:	10.1007/978-3-319-12670-8

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MARC


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Record in the Search Index

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adam_text	CONTINUOUS NOWHERE DIFFERENTIABLE FUNCTIONS / JARNICKI, MAREK : 2015 TABLE OF CONTENTS / INHALTSVERZEICHNIS PREFACE PRELIMINARIES WEIERSTRASS TYPE FUNCTIONS I TAKAGI–VAN DER WAERDEN TYPE FUNCTIONS I BOLZANO TYPE FUNCTIONS I OTHER EXAMPLES BAIRE CATEGORY APPROACH WEIERSTRASS TYPE FUNCTIONS II TAKAGI–VAN DER WAERDEN TYPE FUNCTIONS II BOLZANO TYPE FUNCTIONS II BESICOVITCH–MORSE FUNCTIONS LINEAR SPACES OF NOWHERE DIFFERENTIABLE FUNCTIONS RIEMANNFUNCTION DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. CONTINUOUS NOWHERE DIFFERENTIABLE FUNCTIONS / JARNICKI, MAREK : 2015 ABSTRACT / INHALTSTEXT THIS BOOK COVERS THE CONSTRUCTION, ANALYSIS, AND THEORY OF CONTINUOUS NOWHERE DIFFERENTIABLE FUNCTIONS, COMPREHENSIVELY AND ACCESSIBLY. AFTER ILLUMINATING THE SIGNIFICANCE OF THE SUBJECT THROUGH AN OVERVIEW OF ITS HISTORY, THE READER IS INTRODUCED TO THE SOPHISTICATED TOOLKIT OF IDEAS AND TRICKS USED TO STUDY THE EXPLICIT CONTINUOUS NOWHERE DIFFERENTIABLE FUNCTIONS OF WEIERSTRASS, TAKAGI–VAN DER WAERDEN, BOLZANO, AND OTHERS. MODERN TOOLS OF FUNCTIONAL ANALYSIS, MEASURE THEORY, AND FOURIER ANALYSIS ARE APPLIED TO EXAMINE THE GENERIC NATURE OF CONTINUOUS NOWHERE DIFFERENTIABLE FUNCTIONS, AS WELL AS LINEAR STRUCTURES WITHIN THE (NONLINEAR) SPACE OF CONTINUOUS NOWHERE DIFFERENTIABLE FUNCTIONS. TO ROUND OUT THE PRESENTATION, ADVANCED TECHNIQUES FROM SEVERAL AREAS OF MATHEMATICS ARE BROUGHT TOGETHER TO GIVE A STATE-OF-THE-ART ANALYSIS OF RIEMANN’S CONTINUOUS, AND PURPORTEDLY NOWHERE DIFFERENTIABLE, FUNCTION. FOR THE READER’S BENEFIT, CLAIMS REQUIRING ELABORATION, AND OPEN PROBLEMS, ARE CLEARLY INDICATED. AN APPENDIX CONVENIENTLY PROVIDES BACKGROUND MATERIAL FROM ANALYSIS AND NUMBER THEORY, AND COMPREHENSIVE INDICES OF S YMBOLS, PROBLEMS, AND FIGURES ENHANCE THE BOOK’S UTILITY AS A REFERENCE WORK. STUDENTS AND RESEARCHERS OF ANALYSIS WILL VALUE THIS UNIQUE BOOK AS A SELF-CONTAINED GUIDE TO THE SUBJECT AND ITS METHODS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Jarnicki, Marek 1952- Pflug, Peter 1943-
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dewey-ones	515 - Analysis
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dewey-search	515.8
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discipline	Mathematik
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spelling	Jarnicki, Marek 1952- Verfasser (DE-588)101811095X aut Continuous nowhere differentiable functions the monsters of analysis Marek Jarnicki, Peter Pflug Cham Springer [2015] © 2015 1 Online Ressource (XII, 299 Seiten, 15 illus. in color) txt rdacontent c rdamedia cr rdacarrier Springer monographs in mathematics 1439-7382 Mathematics Fourier analysis Functional analysis Functions of real variables Real Functions Fourier Analysis Functional Analysis Mathematik Pflug, Peter 1943- Verfasser (DE-588)1018111301 aut Erscheint auch als Druckausgabe 978-3-319-12669-2 https://doi.org/10.1007/978-3-319-12670-8 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730324&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730324&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract
spellingShingle	Jarnicki, Marek 1952- Pflug, Peter 1943- Continuous nowhere differentiable functions the monsters of analysis Mathematics Fourier analysis Functional analysis Functions of real variables Real Functions Fourier Analysis Functional Analysis Mathematik
title	Continuous nowhere differentiable functions the monsters of analysis
title_auth	Continuous nowhere differentiable functions the monsters of analysis
title_exact_search	Continuous nowhere differentiable functions the monsters of analysis
title_full	Continuous nowhere differentiable functions the monsters of analysis Marek Jarnicki, Peter Pflug
title_fullStr	Continuous nowhere differentiable functions the monsters of analysis Marek Jarnicki, Peter Pflug
title_full_unstemmed	Continuous nowhere differentiable functions the monsters of analysis Marek Jarnicki, Peter Pflug
title_short	Continuous nowhere differentiable functions
title_sort	continuous nowhere differentiable functions the monsters of analysis
title_sub	the monsters of analysis
topic	Mathematics Fourier analysis Functional analysis Functions of real variables Real Functions Fourier Analysis Functional Analysis Mathematik
topic_facet	Mathematics Fourier analysis Functional analysis Functions of real variables Real Functions Fourier Analysis Functional Analysis Mathematik
url	https://doi.org/10.1007/978-3-319-12670-8 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730324&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730324&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT jarnickimarek continuousnowheredifferentiablefunctionsthemonstersofanalysis AT pflugpeter continuousnowheredifferentiablefunctionsthemonstersofanalysis

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