N-gons (Mathematical expositions)

By Friedrich Bachmann

This book, a translation of the German volume n-Ecke , presents an elegant geometric theory which, starting from quite elementary geometrical observations, exhibits an interesting connection between geometry and fundamental ideas of modern algebra in a form that is easily accessible to the student who lacks a sophisticated background in mathematics. It stimulates geometrical thought by applying the tools of linear algebra and the algebra of polynomials to a concrete geometrical situation to reveal some rather surprising insights into the geometry of n-gons . The twelve chapters treat n-gons , classes of n-gons, and mapping of the set of n-gons into itself. Exercises are included throughout, and two appendixes, by Henner Kinder and Eckart Schmidt, provide background material on lattices and cyclotomic polynomials. (Mathematical Expositions No. 18)

• Format: Hardcover
• Language: English
• ISBN: 0802018432
• ISBN13: 9780802018434
• Release Date: January 1975
• Publisher: University of Toronto Press
• Length: 191 Pages
• Weight: 1.15 lbs.