Skip to main content Accessibility help
×
  1. Home
  2. Books
  3. Geometric Inequalities
  • 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:
    05 January 2012
    01 June 1961
    ISBN:
    9780883859223
    9780883856048
    DOI:
    https://doi.org/10.5948/UPO9780883859223
    Dimensions:
    Weight & Pages:
    Dimensions:
    Weight & Pages:
    00kg,
    • Subjects:
    Mathematics, Geometry and Topology
    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, Geometry and Topology
Series:
Anneli Lax New Mathematical Library
Information

Book description

Anybody who liked their first geometry course (and some who did not) will enjoy the simply stated geometric problems about maximum and minimum lengths and areas in this book. Many of these already fascinated the Greeks, for example, the problem of enclosing the largest possible area by a fence of given length, and some were solved long ago; but others remain unsolved even today. Some of the solutions of the problems posed in this book, for example the problem of inscribing a triangle of smallest perimeter into a given triangle, were supplied by world famous mathematicians, other by high school students.

Reviews

This is an interesting example of what can be done at the high-school level with almost no prerequisites. It can be studied after an introduction to algebra and geometry. It is primarily a proofs book, but also includes much discussion of how you can discover things. By 'geometric inequalities' the author means inequalities that have a geometric interpretation, and most of the discussion is also based on synthetic geometry.

Allen Stenger Source: MAA Online Reviews

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.