© 2007

Surprises and Counterexamples in Real Function Theory


Part of the Text and Readings in Mathematics book series (TRM)

Table of contents

About this book


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.

Authors and affiliations

  1. 1.Panjab UniversityChandigarhIndia

Bibliographic information

  • Book Title Surprises and Counterexamples in Real Function Theory
  • Authors A. R. Rajwade
    A.K Bhandari
  • Series Title Text and Readings in Mathematics
  • DOI
  • Copyright Information Hindustan Book Agency (India) 2007
  • Publisher Name Hindustan Book Agency, Gurgaon
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-81-85931-71-5
  • eBook ISBN 978-93-86279-35-4
  • Edition Number 1
  • Number of Pages , 298
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Mathematics, general
  • Buy this book on publisher's site
Industry Sectors
Finance, Business & Banking