Coverart for item
The Resource Surprises and counterexamples in real function theory, A.R. Rajwade, A.K. Bhandari

Surprises and counterexamples in real function theory, A.R. Rajwade, A.K. Bhandari

Label
Surprises and counterexamples in real function theory
Title
Surprises and counterexamples in real function theory
Statement of responsibility
A.R. Rajwade, A.K. Bhandari
Title variation
Real function theory
Creator
Contributor
Subject
Language
eng
Summary
This book presents a variety of intriguing, surprising and appealing topics and nonroutine theorems in real function theory. It is a reference book to which one can turn for finding that arise while studying or teaching analysis. Chapter 1 is an introduction to algebraic, irrational and transcendental numbers and contains the Cantor ternary set. Chapter 2 contains functions with extraordinary properties; functions that are continuous at each point but differentiable at no point. Chapters 4 and intermediate value property, periodic functions, Rolle's theorem, Taylor's theorem, points of tangents. Chapter 6 discusses sequences and series. It includes the restricted harmonic series, of alternating harmonic series and some number theoretic aspects. In Chapter 7, the infinite peculiar range of convergence is studied. Appendix I deal with some specialized topics. Exercises at the end of chapters and their solutions are provided in Appendix II. This book will be useful for students and teachers alike
Member of
Cataloging source
OCLCE
http://library.link/vocab/creatorName
Rajwade, A. R
Dewey number
515/.8
Illustrations
illustrations
Index
index present
LC call number
QA331.5
LC item number
.R35 2007
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Bhandari, A. K.
Series statement
Texts and readings in mathematics
Series volume
42
http://library.link/vocab/subjectName
  • Functions of real variables
  • Mathematical analysis
  • Fonctions de variables réelles
  • Analyse mathématique
  • Functions of real variables
  • Mathematical analysis
  • Gegenbeispiel
  • Reelle Funktion
Label
Surprises and counterexamples in real function theory, A.R. Rajwade, A.K. Bhandari
Instantiates
Publication
Antecedent source
file reproduced from original
Bibliography note
Includes bibliographical references (pages 281-288) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction to the real line R and some of its subsets -- Functions : pathological, peculiar, and extraordinary -- Famous everywhere continuous, nowhere differentiable functions : van der Waerden's and others -- Functions : continuous, periodic, locally recurrent, and others -- The derivative and higher derivatives -- Sequences, harmonic series, alternating series, and related results -- The infinite exponential and related results
Control code
763363097
Dimensions
unknown
Extent
1 online resource (viii, 290 pages)
File format
one file format
Form of item
online
Isbn
9788185931715
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
9788185931715
Other physical details
illustrations
http://library.link/vocab/ext/overdrive/overdriveId
9788185931715
Specific material designation
remote
System control number
(OCoLC)763363097
Label
Surprises and counterexamples in real function theory, A.R. Rajwade, A.K. Bhandari
Publication
Antecedent source
file reproduced from original
Bibliography note
Includes bibliographical references (pages 281-288) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction to the real line R and some of its subsets -- Functions : pathological, peculiar, and extraordinary -- Famous everywhere continuous, nowhere differentiable functions : van der Waerden's and others -- Functions : continuous, periodic, locally recurrent, and others -- The derivative and higher derivatives -- Sequences, harmonic series, alternating series, and related results -- The infinite exponential and related results
Control code
763363097
Dimensions
unknown
Extent
1 online resource (viii, 290 pages)
File format
one file format
Form of item
online
Isbn
9788185931715
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
9788185931715
Other physical details
illustrations
http://library.link/vocab/ext/overdrive/overdriveId
9788185931715
Specific material designation
remote
System control number
(OCoLC)763363097

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