Skip to main content Accessibility help
×
  1. Home
  2. Books
  3. A Primer of Real Functions
  • Cited by 26
    • The digital format of this book is no longer available to purchase from Cambridge Core. Other formats may be available.
      • 4th edition
      Show more authors
      • You may already have access via personal or institutional login
    • Select format
    • Publisher:
      Mathematical Association of America
      Publication date:
      Invalid date
      June 1996
      ISBN:
      9780883850299
      DOI:
      https://doi.org/10.5948/UPO9781614440130
      Dimensions:
      Weight & Pages:
      00kg,
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics, Mathematical Modeling and Methods
      Series:
      Carus Mathematical Monographs
    You may already have access via personal or institutional login
    Selected: Digital
    Add to cart View cart Buy from Cambridge.org
    Subjects:
    Mathematics, Mathematical Modeling and Methods
    Series:
    Carus Mathematical Monographs
    Information

    Book description

    This is a revised, updated and significantly augmented edition of a classic Carus Monograph (a bestseller for over 25 years) on the theory of functions of a real variable. Earlier editions of this classic Carus Monograph covered sets, metric spaces, continuous functions, and differentiable functions. The fourth edition adds sections on measurable sets and functions, the Lebesgue and Stieltjes integrals, and applications. The book retains the informal chatty style of the previous editions, remaining accessible to readers with some mathematical sophistication and a background in calculus. The book is thus suitable either for self-study or for supplemental reading in a course on advanced calculus or real analysis. Not intended as a systematic treatise, this book has more the character of a sequence of lectures on a variety of interesting topics connected with real functions. Many of these topics are not commonly encountered in undergraduate textbooks: for example, the existence of continuous everywhere-oscillating functions (via the Baire category theorem); the universal chord theorem; two functions having equal derivatives, yet not differing by a constant; and application of Stieltjes integration to the speed of convergence of infinite series.

    Reviews

    It is a great pleasure to see the … fourth edition of this gem, which is well-known all over the world.... This is an important work, especially for teachers and even for (trained) students.

    Source: Acta Sci. Math (Szeged)

    I highly recommend this monograph to mathematics majors who wish to review or extend their knowledge of real analysis, and to workers in other fields who wish to learn of the major results of analysis.

    Source: The Mathematics Teacher

    Refine List

    Actions for selected content:

    Select all | Deselect all
    • View selected items
    • Export citations
    • Download PDF (zip)
    • Save to Kindle
    • Save to Dropbox
    • Save to Google Drive

    Save Search

    You can save your searches here and later view and run them again in "My saved searches".

    Please provide a title, maximum of 40 characters.
    Cancel
    ×

    Contents

    Contents

    Metrics

    Altmetric attention score

    Full text views

    Total number of HTML views: 0
    Total number of PDF views: 0 *
    Loading metrics...

    Book summary page views

    Total views: 0 *
    Loading metrics...

    * Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

    Usage data cannot currently be displayed.

    Accessibility standard: Unknown

    Why this information is here

    This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

    Accessibility Information

    Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.