How Does One Cut a Triangle? / Edition 2

by Alexander Soifer

Overview

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.

Product Details

ISBN-13:	9780387746500
Publisher:	Springer New York
Publication date:	09/10/2009
Edition description:	2nd ed. 2009
Pages:	174
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

The Original Book.- A Pool Table, Irrational Numbers, and Integral Independence.- How Does One Cut a Triangle? I.- Excursions in Algebra.- How Does One Cut a Triangle? II.- Excursion in Trigonometry.- Is There Anything Beyond the Solution?.- Pursuit of the Best Result.- Convex Figures and the Function S().- Paul Erd#x0151;s: Our Joint Problems.- Convex Figures and Erd#x0151;os#x2019; Function S().- Developments of the Subsequent 20 Years.- An Alternative Proof of Grand Problem II.- Mikl#x00F3;s Laczkovich on Cutting Triangles.- Matthew Kahle on the Five-Point Problem.- Soifer#x2019;s One-Hundred-Dollar Problem and Mitya Karabash.- Coffee Hour and the Conway#x2013;Soifer Cover-Up.- Farewell to the Reader.

Editorial Reviews

From the reviews of the second edition:

“In the second edition of an engagingly written book … addressed to bright high school students and undergraduates, whose contributions are very nicely incorporated into the narrative, the author presents problems belonging to discrete and combinatorial geometry.” (Victor V. Pambuccian, Zentralblatt MATH, Vol. 1180, 2010)

“How does one cut a triangle? is a charming little book intended for that most rare of readers: one with little or no knowledge of mathematics above the high school level … . For such a reader, this book constitutes an opportunity to learn a number of mathematical tools and problem-solving techniques. … overall there is much in this book to commend it to both expert and novice … .”­­­ (Michael Weiss, Mathematical Reviews, Issue 2011 c)

From the Publisher