书目名称 | How Does One Cut a Triangle? | 编辑 | Alexander Soifer | 视频video | | 概述 | Aims to inspire talented students at various levels and other mathematicians interested in similar problems.Offers insight on different problem solving methods used to attack the problem, “How Does On | 图书封面 |  | 描述 | .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.. | 出版日期 | Textbook 2009Latest edition | 关键词 | Algebra; Paul Erdös; convex figures; five point problem; function; geometry; integral independence; mathema | 版次 | 2 | doi | https://doi.org/10.1007/978-0-387-74652-4 | isbn_softcover | 978-0-387-74650-0 | isbn_ebook | 978-0-387-74652-4 | copyright | Springer-Verlag New York 2009 |
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