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n-gons /

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 wh...

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Detalles Bibliográficos
Autores principales: Bachmann, Friedrich, 1909- (Autor), Schmidt, Eckart (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Alemán
Publicado: Ottawa, Ontario : Canadian Electronic Library, 2015.
Colección:Book collections on Project MUSE.
Temas:
Acceso en línea:Texto completo

MARC

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041 1 |a eng  |h ger 
100 1 |a Bachmann, Friedrich,  |d 1909-  |e author. 
240 1 0 |a N-Ecke.  |l English 
245 1 0 |a n-gons /   |c Friedrich Bachmann, Eckart Schmidt ; translated by Cyril W.L. Garner. 
264 1 |a Ottawa, Ontario :  |b Canadian Electronic Library,  |c 2015. 
264 3 |a Baltimore, Md. :  |b Project MUSE,   |c 2023 
264 4 |c ©2015. 
300 |a 1 online resource (208 pages):   |b illustrations 
336 |a text  |b txt  |2 rdacontent 
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490 0 |a Mathematical expositions,  |x 0076-5333 ;  |v no. 18 
500 |a Translation of: N-Ecke. 
505 0 |a Introduction -- PART I: Cyclic classes and cyclic mappings -- PART II: The main theorem -- PART III: Boolean algebras of n-gonal theory -- PART IV: Atomic decompositions -- Appendices -- List of symbols and notations. 
520 |a 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). 
588 |a Description based on print version record. 
650 7 |a Set theory.  |2 fast  |0 (OCoLC)fst01113587 
650 7 |a Polygons.  |2 fast  |0 (OCoLC)fst01070488 
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650 7 |a MATHEMATICS  |x Algebra  |x Elementary.  |2 bisacsh 
650 7 |a polygons.  |2 aat 
650 6 |a Theorie des ensembles. 
650 6 |a Polygones. 
650 0 |a Set theory. 
650 0 |a Polygons. 
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700 1 |a Schmidt, Eckart,  |e author. 
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