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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
Clasificación:Libro Electrónico
Autores principales: Bachmann, Friedrich, 1909-1982 (Autor), Schmidt, Eckart (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Alemán
Publicado: Toronto [Ontario] : University of Toronto Press, [1975]
Colección:Mathematical expositions ; no. 18.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Bachmann, Friedrich,  |d 1909-1982,  |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. 
246 1 |i Translation of:  |a N-Ecke 
264 1 |a Toronto [Ontario] :  |b University of Toronto Press,  |c [1975] 
264 2 |a Ottawa, Ontario :  |b Canadian Electronic Library,  |c 2015. 
300 |a 1 online resource (xii, 191 pages) :  |b illustrations 
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490 1 |a Mathematical expositions,  |x 0076-5333 ;  |v no. 18 
500 |a Translation of: N-Ecke. 
504 |a Includes bibliographical references and index. 
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). 
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650 0 |a Polygons. 
650 0 |a Set theory. 
650 6 |a Polygones. 
650 6 |a Théorie des ensembles. 
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650 7 |a Polygons  |2 fast 
650 7 |a Set theory  |2 fast 
700 1 |a Schmidt, Eckart,  |e author. 
776 0 8 |i Print version:  |a Bachmann, Friedrich.  |t N-Gons.  |d Toronto : University of Toronto Press, ©2000  |z 9781442651548 
830 0 |a Mathematical expositions ;  |v no. 18. 
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