rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Surprises and Counterexamples in Real Function Theory
  name:
    name part: Rajwade, A. R.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Bhandari, A. K.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xx
    date issued: 2007
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: 298 p. online resource.
  abstract: 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.
  note: by A. R. Rajwade, A. K. Bhandari.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematics
  subject:
    topic: Mathematics, general
  classification: QA1-939
  classification: 510
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Text and Readings in Mathematics
  identifier: 9789386279354
  identifier: http://dx.doi.org/10.1007/978-93-86279-35-4
  record info:
    record creation date: 170613
    record change date: 20170720093047.0
    record identifier: 978-93-86279-35-4