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The Universe of Conics
From the ancient Greeks to 21st century developments
Buch von Georg Glaeser (u. a.)
Sprache: Englisch

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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.

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: 2016
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 488
Inhalt: viii
488 S.
350 s/w Illustr.
488 p. 350 illus.
ISBN-13: 9783662454497
ISBN-10: 3662454491
Sprache: Englisch
Herstellernummer: 978-3-662-45449-7
Autor: Glaeser, Georg
Stachel, Hellmuth
Odehnal, Boris
Auflage: 1st ed. 2016
Hersteller: Springer, Berlin
Springer Spektrum
Springer Berlin Heidelberg
Abbildungen: VIII, 488 p. 350 illus.
Maße: 243 x 173 x 33 mm
Von/Mit: Georg Glaeser (u. a.)
Erscheinungsdatum: 01.04.2016
Gewicht: 0,966 kg
preigu-id: 105054421
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: 2016
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 488
Inhalt: viii
488 S.
350 s/w Illustr.
488 p. 350 illus.
ISBN-13: 9783662454497
ISBN-10: 3662454491
Sprache: Englisch
Herstellernummer: 978-3-662-45449-7
Autor: Glaeser, Georg
Stachel, Hellmuth
Odehnal, Boris
Auflage: 1st ed. 2016
Hersteller: Springer, Berlin
Springer Spektrum
Springer Berlin Heidelberg
Abbildungen: VIII, 488 p. 350 illus.
Maße: 243 x 173 x 33 mm
Von/Mit: Georg Glaeser (u. a.)
Erscheinungsdatum: 01.04.2016
Gewicht: 0,966 kg
preigu-id: 105054421
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