This second edition of Alexander Sofier's How Does One Cut a Triangle? demonstrates how different areas of mathematics can be juxtaposed in the solution of a given problem. To develop a clear "mini-model" of mathematical research, Sofier employs geometry, algebra, trigonometry, linear algebra, and rings. The author brings mathematics alive by giving the audience, primarily high school students, a taste of what mathematicians do. His book presents open problems which invite the reader to actively play the role of the mathematician. By doing so, the author skillfully inspires the reader to discover uncharted solutions while using his analytical proofs and counter-examples as a guide.
Rezensionen / Stimmen
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)
