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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 (Autor), Schmidt, Eckart (Autor, Contribuidor)
Otros Autores: Garner, Cyril, Kinder, Henner (Contribuidor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Toronto : University of Toronto Press, [2016]
Colección:Heritage
Temas:
Polygons.
Set theory.
MATHEMATICS / Algebra / Elementary.
Acceso en línea:Texto completo
Texto completo
Tabla de Contenidos:
  • Frontmatter
  • Contents
  • Authors' preface
  • Translator's preface
  • Summary of contents
  • Introduction
  • Part 1. Cyclic classes and cyclic mappings
  • 1. Cyclic classes of n-gons
  • 2. Cyclic mappings of n-gons
  • 3. Isobaric cyclic mappings
  • 4. Averaging mappings
  • PART II. The main theorem
  • 5. Idempotent elements and Boolean algebras
  • 6. The main theorem about cyclic classes
  • PART III. Boolean algebras of n-gonal theory
  • 7. Idempotent-transfer. Residue class rings of principal ideal domains
  • 8. Boolean algebras of the n-gonal theory I
  • 9. Boolean algebras of the n-gonal theory II
  • PART IV. Atomic decompositions
  • 10. Rational components of an n-gon
  • 11. Complex components of an n-gon
  • 12. The real components of an n-gon
  • Appendices
  • 1. Lattices
  • 2. Cyclotomic polynomials
  • List of symbols and notations
  • Index

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