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  3. Geometric Inequalities
  • This book is no longer available to purchase from Cambridge Core
  • Cited by 70
Publisher:
Mathematical Association of America
Online publication date:
January 2012
Print publication year:
1961
Online ISBN:
9780883859223
DOI:
https://doi.org/10.5948/UPO9780883859223
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

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