Coverart for item
The Resource Continuous nowhere differentiable functions : the monsters of analysis, Marek Jarnicki, Peter Pflug, (electronic book)

Continuous nowhere differentiable functions : the monsters of analysis, Marek Jarnicki, Peter Pflug, (electronic book)

Label
Continuous nowhere differentiable functions : the monsters of analysis
Title
Continuous nowhere differentiable functions
Title remainder
the monsters of analysis
Statement of responsibility
Marek Jarnicki, Peter Pflug
Creator
Contributor
Author
Subject
Language
eng
Summary
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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Jarnicki, Marek
Dewey number
515/.222
Illustrations
illustrations
Index
index present
LC call number
QA331
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1943-
http://library.link/vocab/relatedWorkOrContributorName
Pflug, Peter
Series statement
Springer monographs in mathematics,
http://library.link/vocab/subjectName
  • Functions, Continuous
  • Differentiable functions
Label
Continuous nowhere differentiable functions : the monsters of analysis, Marek Jarnicki, Peter Pflug, (electronic book)
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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 -- Riemann function
Control code
SPR934626593
Dimensions
unknown
Extent
1 online resource (xii, 299 pages)
File format
unknown
Form of item
online
Isbn
9783319126708
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-12670-8
Other physical details
color illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic resource.
Sound
unknown sound
Specific material designation
remote
Label
Continuous nowhere differentiable functions : the monsters of analysis, Marek Jarnicki, Peter Pflug, (electronic book)
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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 -- Riemann function
Control code
SPR934626593
Dimensions
unknown
Extent
1 online resource (xii, 299 pages)
File format
unknown
Form of item
online
Isbn
9783319126708
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-12670-8
Other physical details
color illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic resource.
Sound
unknown sound
Specific material designation
remote

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