How Does One Cut a Triangle? （2ND）

Soifer, Alexander

Springer（2009/07発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 155 p.／サイズ 80 illus.
• 言語 ENG
• 商品コード 9780387746500

基本説明

Shows how different areas of mathematics can be intertwined to solve a given problem. Soifer brings together geometry, algebra, trigonometry, linear algebra, and rings in a juxtaposition of different mathematical areas that enables mathematics to come alive. In the process the reader is given a taste of what mathematics can do and how mathematicians go about their research.
Originally published by the author, 1990.

Full Description

This second edition of Alexander Soifer's How Does One Cut a Triangle? demonstrates how different areas of mathematics can be juxtaposed in the solution of a given problem. The author employs geometry, algebra, trigonometry, linear algebra, and rings to develop a miniature model of mathematical research.

How Does One Cut a Triangle? contains dozens of proofs and counterexamples to a variety of problems, such as a pool table problem, a fifty-dollar problem, a five-point problem, and a joint problem. By proving these examples, the author demonstrates that research is a collection of mathematical ideas that have been developed throughout the course of history.

The author brings mathematics alive by giving the reader a taste of what mathematicians do. His book presents open problems that invite the reader to play the role of the mathematician. By doing so, the author skillfully inspires the discovery of uncharted solutions using his solutions as a guide.