Surprises and counterexamples in real function theory

The Resource Surprises and counterexamples in real function theory
Label
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
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
Series statement
Texts and readings in mathematics
Series volume
42

Context

Context of Surprises and counterexamples in real function theory

Work of

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