Analytic projective geometry:
Projective geometry is the geometry of vision, and this book introduces students to this beautiful subject from an analytic perspective, emphasising its close relationship with linear algebra and the central role of symmetry. Starting with elementary and familiar geometry over real numbers, readers...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge, United Kingdom ; New York, NY
Cambridge University Press
2023
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| Links: | https://doi.org/10.1017/9781009260626 |
| Zusammenfassung: | Projective geometry is the geometry of vision, and this book introduces students to this beautiful subject from an analytic perspective, emphasising its close relationship with linear algebra and the central role of symmetry. Starting with elementary and familiar geometry over real numbers, readers will soon build upon that knowledge via geometric pathways and journey on to deep and interesting corners of the subject. Through a projective approach to geometry, readers will discover connections between seemingly distant (and ancient) results in Euclidean geometry. By mixing recent results from the past 100 years with the history of the field, this text is one of the most comprehensive surveys of the subject and an invaluable reference for undergraduate and beginning graduate students learning classic geometry, as well as young researchers in computer graphics. Students will also appreciate the worked examples and diagrams throughout. |
| Umfang: | 1 Online-Ressource (xii, 462 Seiten) |
| ISBN: | 9781009260626 |
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| spelling | Bamberg, John Analytic projective geometry John Bamberg, University of Western Australia, Tim Penttila, University of Adelaide Cambridge, United Kingdom ; New York, NY Cambridge University Press 2023 1 Online-Ressource (xii, 462 Seiten) txt c cr Projective geometry is the geometry of vision, and this book introduces students to this beautiful subject from an analytic perspective, emphasising its close relationship with linear algebra and the central role of symmetry. Starting with elementary and familiar geometry over real numbers, readers will soon build upon that knowledge via geometric pathways and journey on to deep and interesting corners of the subject. Through a projective approach to geometry, readers will discover connections between seemingly distant (and ancient) results in Euclidean geometry. By mixing recent results from the past 100 years with the history of the field, this text is one of the most comprehensive surveys of the subject and an invaluable reference for undergraduate and beginning graduate students learning classic geometry, as well as young researchers in computer graphics. Students will also appreciate the worked examples and diagrams throughout. Penttila, T. Erscheint auch als Druck-Ausgabe 9781009260596 |
| spellingShingle | Bamberg, John Analytic projective geometry |
| title | Analytic projective geometry |
| title_auth | Analytic projective geometry |
| title_exact_search | Analytic projective geometry |
| title_full | Analytic projective geometry John Bamberg, University of Western Australia, Tim Penttila, University of Adelaide |
| title_fullStr | Analytic projective geometry John Bamberg, University of Western Australia, Tim Penttila, University of Adelaide |
| title_full_unstemmed | Analytic projective geometry John Bamberg, University of Western Australia, Tim Penttila, University of Adelaide |
| title_short | Analytic projective geometry |
| title_sort | analytic projective geometry |
| work_keys_str_mv | AT bambergjohn analyticprojectivegeometry AT penttilat analyticprojectivegeometry |