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
Resource Information
The item Surprises and counterexamples in real function theory, A.R. Rajwade, A.K. Bhandari represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Surprises and counterexamples in real function theory, A.R. Rajwade, A.K. Bhandari represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 1 online resource (viii, 290 pages)
 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
 Isbn
 9789386279354
 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
 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
 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
 Antecedent source
 file reproduced from original
 Bibliography note
 Includes bibliographical references (pages 281288) 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
 9789386279354
 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
 Antecedent source
 file reproduced from original
 Bibliography note
 Includes bibliographical references (pages 281288) 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
 9789386279354
 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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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Surprisesandcounterexamplesinrealfunction/CCYOzGssCow/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Surprisesandcounterexamplesinrealfunction/CCYOzGssCow/">Surprises and counterexamples in real function theory, A.R. Rajwade, A.K. Bhandari</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>