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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Toronto :
University of Toronto Press,
[2016]
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| Colección: | Heritage
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| Temas: | |
| Acceso en línea: | Texto completo Texto completo |
MARC
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| 020 | |a 9781442656444 | ||
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| 035 | |a (OCoLC)944178742 | ||
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| 072 | 7 | |a MAT002030 |2 bisacsh | |
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| 100 | 1 | |a Bachmann, Friedrich, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a n-gons / |c Friedrich Bachmann, Eckart Schmidt. |
| 264 | 1 | |a Toronto : |b University of Toronto Press, |c [2016] | |
| 264 | 4 | |c ©1975 | |
| 300 | |a 1 online resource (208 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Authors' preface -- |t Translator's preface -- |t Summary of contents -- |t Introduction -- |t Part 1. Cyclic classes and cyclic mappings -- |t 1. Cyclic classes of n-gons -- |t 2. Cyclic mappings of n-gons -- |t 3. Isobaric cyclic mappings -- |t 4. Averaging mappings -- |t PART II. The main theorem -- |t 5. Idempotent elements and Boolean algebras -- |t 6. The main theorem about cyclic classes -- |t PART III. Boolean algebras of n-gonal theory -- |t 7. Idempotent-transfer. Residue class rings of principal ideal domains -- |t 8. Boolean algebras of the n-gonal theory I -- |t 9. Boolean algebras of the n-gonal theory II -- |t PART IV. Atomic decompositions -- |t 10. Rational components of an n-gon -- |t 11. Complex components of an n-gon -- |t 12. The real components of an n-gon -- |t Appendices -- |t 1. Lattices -- |t 2. Cyclotomic polynomials -- |t List of symbols and notations -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 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) | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) | |
| 650 | 0 | |a Polygons. | |
| 650 | 0 | |a Set theory. | |
| 650 | 7 | |a MATHEMATICS / Algebra / Elementary. |2 bisacsh | |
| 700 | 1 | |a Garner, Cyril. | |
| 700 | 1 | |a Kinder, Henner, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Schmidt, Eckart, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Schmidt, Eckart, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t University of Toronto Press eBook-Package Archive 1933-1999 |z 9783110490947 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.3138/9781442656444 |z Texto completo |
| 856 | 4 | 0 | |u https://degruyter.uam.elogim.com/isbn/9781442656444 |z Texto completo |
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