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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| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English German |
| Veröffentlicht: |
Toronto [Ontario] :
University of Toronto Press,
[1975]
|
| Schriftenreihe: | Mathematical expositions ;
no. 18. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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). |
| Beschreibung: | Translation of: N-Ecke. |
| Beschreibung: | 1 online resource (xii, 191 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781442656444 1442656441 |
| ISSN: | 0076-5333 ; |
Internformat
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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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| adam_text | |
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| author | Bachmann, Friedrich, 1909-1982 Schmidt, Eckart |
| author_GND | http://id.loc.gov/authorities/names/n84802174 |
| author_facet | Bachmann, Friedrich, 1909-1982 Schmidt, Eckart |
| author_role | aut aut |
| author_sort | Bachmann, Friedrich, 1909-1982 |
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| contents | 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. |
| ctrlnum | (OCoLC)918588755 |
| dewey-full | 516.22 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.22 |
| dewey-search | 516.22 |
| dewey-sort | 3516.22 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn918588755 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:26:45Z |
| institution | BVB |
| isbn | 9781442656444 1442656441 |
| issn | 0076-5333 ; |
| language | English German |
| oclc_num | 918588755 |
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| physical | 1 online resource (xii, 191 pages) : illustrations |
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| publishDate | 1975 |
| publishDateSearch | 1975 2015 |
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| publisher | University of Toronto Press, |
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| series | Mathematical expositions ; |
| series2 | Mathematical expositions, |
| spelling | Bachmann, Friedrich, 1909-1982, author. https://id.oclc.org/worldcat/entity/E39PBJrGrFkfGGqWXPbKmG46rq N-Ecke. English N-gons / Friedrich Bachmann, Eckart Schmidt ; translated by Cyril W.L. Garner. Translation of: N-Ecke Toronto [Ontario] : University of Toronto Press, [1975] Ottawa, Ontario : Canadian Electronic Library, 2015. 1 online resource (xii, 191 pages) : illustrations text txt rdacontent electronic isbdmedia online resource cr rdacarrier Mathematical expositions, 0076-5333 ; no. 18 Translation of: N-Ecke. Includes bibliographical references and index. 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. 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). Polygons. http://id.loc.gov/authorities/subjects/sh85104637 Set theory. http://id.loc.gov/authorities/subjects/sh85120387 Polygones. Théorie des ensembles. polygons. aat MATHEMATICS Algebra Elementary. bisacsh MATHEMATICS Geometry General. bisacsh Polygons fast Set theory fast Schmidt, Eckart, author. http://id.loc.gov/authorities/names/n84802174 has work: N-gons (Text) https://id.oclc.org/worldcat/entity/E39PCGmcfpGdXWQmrXdG7M9BCP https://id.oclc.org/worldcat/ontology/hasWork Print version: Bachmann, Friedrich. N-Gons. Toronto : University of Toronto Press, ©2000 9781442651548 Mathematical expositions ; no. 18. http://id.loc.gov/authorities/names/n42015975 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1002259 Volltext |
| spellingShingle | Bachmann, Friedrich, 1909-1982 Schmidt, Eckart N-gons / Mathematical expositions ; 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. Polygons. http://id.loc.gov/authorities/subjects/sh85104637 Set theory. http://id.loc.gov/authorities/subjects/sh85120387 Polygones. Théorie des ensembles. polygons. aat MATHEMATICS Algebra Elementary. bisacsh MATHEMATICS Geometry General. bisacsh Polygons fast Set theory fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85104637 http://id.loc.gov/authorities/subjects/sh85120387 |
| title | N-gons / |
| title_alt | N-Ecke. N-Ecke |
| title_auth | N-gons / |
| title_exact_search | N-gons / |
| title_full | N-gons / Friedrich Bachmann, Eckart Schmidt ; translated by Cyril W.L. Garner. |
| title_fullStr | N-gons / Friedrich Bachmann, Eckart Schmidt ; translated by Cyril W.L. Garner. |
| title_full_unstemmed | N-gons / Friedrich Bachmann, Eckart Schmidt ; translated by Cyril W.L. Garner. |
| title_short | N-gons / |
| title_sort | n gons |
| topic | Polygons. http://id.loc.gov/authorities/subjects/sh85104637 Set theory. http://id.loc.gov/authorities/subjects/sh85120387 Polygones. Théorie des ensembles. polygons. aat MATHEMATICS Algebra Elementary. bisacsh MATHEMATICS Geometry General. bisacsh Polygons fast Set theory fast |
| topic_facet | Polygons. Set theory. Polygones. Théorie des ensembles. polygons. MATHEMATICS Algebra Elementary. MATHEMATICS Geometry General. Polygons Set theory |
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