How Does One Cut a Triangle?

2. Auflage 2009
ISBN: 978-0-387-74650-0
Verlag: Springer

Buch, Englisch, 174 Seiten, Format (B × H): 159 mm x 235 mm, Gewicht: 320 g

This second edition of Alexander Soifer’s 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.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Soifer, Alexander

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Algebra Elementare Algebra
• Mathematik | Informatik Mathematik Mathematik Allgemein

Inhaltsverzeichnis

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.