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This text will be invaluable to undergraduate mathematics students, those in adjacent fields of study, and anyone with an interest in classical geometry.
Augmented with more than three hundred fifty figures and photographs, this innovative text will enhance your understanding of projective geometry, linear algebra, mechanics, and differential geometry, with careful exposition and many illustrative exercises.
This text will be invaluable to undergraduate mathematics students, those in adjacent fields of study, and anyone with an interest in classical geometry.
Augmented with more than three hundred fifty figures and photographs, this innovative text will enhance your understanding of projective geometry, linear algebra, mechanics, and differential geometry, with careful exposition and many illustrative exercises.
Coauthor of several books on mathematics and computational geometry and of more than 120 articles on geometry.
Georg Glaeser, born 1955, got his PhD and habilitation in geometry at the Vienna University of Technology. Since 1998 full professor of geometry at the University of Applied Arts Vienna. Author and coauthor of more than a dozen books on geometry, mathematics, computational geometry, computer graphics, and photography.
Boris Odehnal, born 1973, got his PhD and habilitation in geometry at the Vienna University of Technology. 2011-2012 professor at the Dresden University of Technology, since 2012 lecturer of geometry at the University of Applied Arts Vienna. Author of several dozens of publications on geometry.
This text presents the classical theory of conics in a modern form. It includes many novel results that are not easily accessible elsewhere. The approach combines synthetic and analytic methods to derive projective, affine and metrical properties, covering both Euclidean and non-Euclidean geometries.
This text will be invaluable to undergraduate mathematics students, those in adjacent fields of study, and anyone with an interest in classical geometry.
Augmented with more than three hundred fifty figures and photographs, this innovative text will enhance your understanding of projective geometry, linear algebra, mechanics, and differential geometry, with careful exposition and many illustrative exercises.
1 Introduction.- 2 Euclidean plane.- 3 Differential Geometry.- 4 Eucledian 3-space.- 5 Projective Geometry.- 6 Projective conics.- 7 Polarities and pencils.- 8 Affine Geometry.- 9 Special problems.- 10 Other geometries.- Index.
| Erscheinungsjahr: | 2018 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
viii
488 S. 350 s/w Illustr. 488 p. 350 illus. |
| ISBN-13: | 9783662568811 |
| ISBN-10: | 3662568810 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Glaeser, Georg
Stachel, Hellmuth Odehnal, Boris |
| Hersteller: |
Springer Gabler
Springer-Verlag GmbH |
| Verantwortliche Person für die EU: | Springer Spektrum in Springer Science + Business Media, Tiergartenstr. 15-17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 240 x 168 x 27 mm |
| Von/Mit: | Georg Glaeser (u. a.) |
| Erscheinungsdatum: | 25.04.2018 |
| Gewicht: | 0,824 kg |