The Resource Strange functions in real analysis, A.B. Kharazishvili

Strange functions in real analysis, A.B. Kharazishvili

Label
Strange functions in real analysis
Title
Strange functions in real analysis
Statement of responsibility
A.B. Kharazishvili
Creator
Subject
Language
eng
Summary
  • "This reference explores the fundamental operations of real analysis that are closely connected with pathological functions - demonstrating much-needed revisions, generalizations, or extensions of differentiation, integration, convergence, and other basic concepts of analysis."
  • "Containing over 1400 equations, Strange Functions in Real Analysis is an exceptional resource for mathematicians working in general set theory, descriptive set theory, optimization, ordinary differential equations, and functional equations, and for graduate students specializing in real analysis, classical measure theory, and point set theory."--BOOK JACKET
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Kharazishvili, A. B
Index
index present
LC call number
QA320
LC item number
.K48 2000
Literary form
non fiction
Nature of contents
bibliography
Series statement
Monographs and textbooks in pure and applied mathematics
Series volume
229
http://library.link/vocab/subjectName
  • Functional analysis
  • Functions of real variables
Label
Strange functions in real analysis, A.B. Kharazishvili
Link
http://catdir.loc.gov/catdir/enhancements/fy0661/99088641-d.html
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 279-290) and index
Contents
  • Egorov type theorems
  • Sierpinski's partition of the Euclidean plane
  • Sup-measurable and weakly sup-measurable functions
  • Ordinary differential equations with bad right-hand sides
  • Nondifferentiable functions from the point of view of category and measure
  • Cantor and Peano type functions
  • Singular monotone functions
  • Everywhere differentiable nowhere monotone functions
  • Nowhere approximately differentiable functions
  • Blumberg's theorem and Sierpinski-Zygmund function
  • Lebesgue nonmeasurable functions and functions without the Baire property
  • Hamel basis and Cauchy functional equation
  • Luzin sets, Sierpinski sets and their applications
Dimensions
24 cm.
Extent
viii, 297 p.
Isbn
9780824703202
Isbn Type
(alk. paper)
Lccn
99088641
System control number
  • 1742393-01okla_normanlaw
  • (SIRSI)1742393
  • (Sirsi) o43076879
  • (OCoLC)43076879
Label
Strange functions in real analysis, A.B. Kharazishvili
Link
http://catdir.loc.gov/catdir/enhancements/fy0661/99088641-d.html
Publication
Bibliography note
Includes bibliographical references (p. 279-290) and index
Contents
  • Egorov type theorems
  • Sierpinski's partition of the Euclidean plane
  • Sup-measurable and weakly sup-measurable functions
  • Ordinary differential equations with bad right-hand sides
  • Nondifferentiable functions from the point of view of category and measure
  • Cantor and Peano type functions
  • Singular monotone functions
  • Everywhere differentiable nowhere monotone functions
  • Nowhere approximately differentiable functions
  • Blumberg's theorem and Sierpinski-Zygmund function
  • Lebesgue nonmeasurable functions and functions without the Baire property
  • Hamel basis and Cauchy functional equation
  • Luzin sets, Sierpinski sets and their applications
Dimensions
24 cm.
Extent
viii, 297 p.
Isbn
9780824703202
Isbn Type
(alk. paper)
Lccn
99088641
System control number
  • 1742393-01okla_normanlaw
  • (SIRSI)1742393
  • (Sirsi) o43076879
  • (OCoLC)43076879

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