A Course in Modern Geometries:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1989
|
| Schriftenreihe: | Undergraduate Texts in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | A Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. Chapter 1 presents several finite geometries in an axiomatic framework. Chapter 2 introduces Euclid's geometry and the basic ideas of non-Euclidean geometry. The synthetic approach of Chapters 1 - 2 is followed by the analytic treatment of transformations of the Euclidean plane in Chapter 3. Chapter 4 presents plane projective geometry both synthetically and analytically. The extensive use of matrix representations of groups of transformations in Chapters 3 - 4 reinforces ideas from linear algebra and serves as excellent preparation for a course in abstract algebra. Each chapter includes a list of suggested sources for applications and/or related topics |
| Beschreibung: | 1 Online-Ressource (XII, 233 p) |
| ISBN: | 9781475738315 9781475738339 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4757-3831-5 |
Internformat
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| 500 | |a A Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. Chapter 1 presents several finite geometries in an axiomatic framework. Chapter 2 introduces Euclid's geometry and the basic ideas of non-Euclidean geometry. The synthetic approach of Chapters 1 - 2 is followed by the analytic treatment of transformations of the Euclidean plane in Chapter 3. Chapter 4 presents plane projective geometry both synthetically and analytically. The extensive use of matrix representations of groups of transformations in Chapters 3 - 4 reinforces ideas from linear algebra and serves as excellent preparation for a course in abstract algebra. Each chapter includes a list of suggested sources for applications and/or related topics | ||
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Datensatz im Suchindex
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| author | Cederberg, Judith N. |
| author_facet | Cederberg, Judith N. |
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| bvnumber | BV042421531 |
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| ctrlnum | (OCoLC)863956059 (DE-599)BVBBV042421531 |
| dewey-full | 516 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516 |
| dewey-search | 516 |
| dewey-sort | 3516 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-3831-5 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:09Z |
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| isbn | 9781475738315 9781475738339 |
| issn | 0172-6056 |
| language | English |
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| spelling | Cederberg, Judith N. Verfasser aut A Course in Modern Geometries by Judith N. Cederberg New York, NY Springer New York 1989 1 Online-Ressource (XII, 233 p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 A Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. Chapter 1 presents several finite geometries in an axiomatic framework. Chapter 2 introduces Euclid's geometry and the basic ideas of non-Euclidean geometry. The synthetic approach of Chapters 1 - 2 is followed by the analytic treatment of transformations of the Euclidean plane in Chapter 3. Chapter 4 presents plane projective geometry both synthetically and analytically. The extensive use of matrix representations of groups of transformations in Chapters 3 - 4 reinforces ideas from linear algebra and serves as excellent preparation for a course in abstract algebra. Each chapter includes a list of suggested sources for applications and/or related topics Mathematics Geometry Mathematik Geometrie (DE-588)4020236-7 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Geometrie (DE-588)4020236-7 s 2\p DE-604 https://doi.org/10.1007/978-1-4757-3831-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Cederberg, Judith N. A Course in Modern Geometries Mathematics Geometry Mathematik Geometrie (DE-588)4020236-7 gnd |
| subject_GND | (DE-588)4020236-7 (DE-588)4123623-3 |
| title | A Course in Modern Geometries |
| title_auth | A Course in Modern Geometries |
| title_exact_search | A Course in Modern Geometries |
| title_full | A Course in Modern Geometries by Judith N. Cederberg |
| title_fullStr | A Course in Modern Geometries by Judith N. Cederberg |
| title_full_unstemmed | A Course in Modern Geometries by Judith N. Cederberg |
| title_short | A Course in Modern Geometries |
| title_sort | a course in modern geometries |
| topic | Mathematics Geometry Mathematik Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Mathematics Geometry Mathematik Geometrie Lehrbuch |
| url | https://doi.org/10.1007/978-1-4757-3831-5 |
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