Skip to main content Accessibility help
×
  1. Home
  2. Books
  3. An Introduction to Inequalities
  • Cited by 68
    • The digital format of this book is no longer available to purchase from Cambridge Core. Other formats may be available.
      • 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 1961
      ISBN:
      9780883856031
      DOI:
      https://doi.org/10.5948/UPO9780883859216
      Dimensions:
      Weight & Pages:
      Dimensions:
      Weight & Pages:
      00kg,
      • Subjects:
      Mathematics, Number Theory
      Series:
      Anneli Lax New Mathematical Library
    You may already have access via personal or institutional login
    Selected: Digital
    Add to cart View cart Buy from Cambridge.org
    Subjects:
    Mathematics, Number Theory
    Series:
    Anneli Lax New Mathematical Library
    Information

    Book description

    Most people, when they think of mathematics, think first of numbers and equations-the number (x)=that number (y). But professional mathematicians, in dealing with quantities that can be ordered according to their size, often are more interested in unequal magnitudes that are equal. This book provides an introduction to the fascinating world of inequalities beginning with a systematic discussion of the relation 'greater than' and the meaning of 'absolute values' of numbers, and ending with descriptions of some unusual geometries. In the course of the book, the reader will encounter some of the more famous inequalities in mathematics. Starting with the basic order properties of real numbers, this book carries the reader through the classical inequalities of Cauchy, Minkowsky and Hörder with many variants and applications. The concluding chapter points the way to other metrics in the plane and the interrelations between geometry (convexity) and algebra (inequalities).

    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

    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.