TY - BOOK ID - 78073247 TI - n-gons AU - Bachmann, Friedrich, AU - Garner, Cyril AU - Schmidt, Eckart PY - 1975 SN - 1442656441 9781442656444 PB - Toronto DB - UniCat KW - Polygons. KW - Set theory. KW - Aggregates KW - Classes (Mathematics) KW - Ensembles (Mathematics) KW - Mathematical sets KW - Sets (Mathematics) KW - Theory of sets KW - Logic, Symbolic and mathematical KW - Mathematics KW - Polygonal figures KW - Geometry, Plane KW - Shapes UR - https://www.unicat.be/uniCat?func=search&query=sysid:78073247 AB - 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). ER -