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Beschreibung
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.

With more than two thousand years of history, conic sections play a fundamental role in numerous fields of mathematics and physics, with applications to mechanical engineering, architecture, astronomy, design and computer graphics.

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 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.

With more than two thousand years of history, conic sections play a fundamental role in numerous fields of mathematics and physics, with applications to mechanical engineering, architecture, astronomy, design and computer graphics.

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.

Zusammenfassung
Hellmuth Stachel, born 1942, got his PhD and habilitation in geometry in Graz. 1978 full professor at the Mining University Leoben, 1980-2011 full professor of geometry at the Vienna University of Technology.

Coauthor of several books on mathematics and computational geometry and of more than 120 articles on geometry.

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2018
Fachbereich: Geometrie
Genre: Mathematik
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
Herstellernummer: 978-3-662-56881-1
Einband: Kartoniert / Broschiert
Autor: Glaeser, Georg
Stachel, Hellmuth
Odehnal, Boris
Hersteller: Springer, Berlin
Springer Spektrum
Verantwortliche Person für die EU: Springer Spektrum in Springer Science + Business Media, Tiergartenstr. 15-17, D-69121 Heidelberg, juergen.hartmann@springer.com
Abbildungen: VIII, 488 p. 350 illus.
Maße: 240 x 170 x 27 mm
Von/Mit: Georg Glaeser (u. a.)
Erscheinungsdatum: 25.04.2018
Gewicht: 0,787 kg
Artikel-ID: 114245125