國立虎尾科技大學 |

The universe of conics = from the Ancient Greeks to 21st century developments /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The universe of conics/ by Georg Glaeser, Hellmuth Stachel, Boris Odehnal.
Reminder of title:	from the Ancient Greeks to 21st century developments /
Author:	Glaeser, Georg.
other author:	Stachel, Hellmuth.
Published:	Berlin, Heidelberg :Springer Berlin Heidelberg : : 2024.,
Description:	viii, 580 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Conic sections. -
Online resource:	https://doi.org/10.1007/978-3-662-70306-9
ISBN:	9783662703069

The universe of conics = from the Ancient Greeks to 21st century developments /
Glaeser, Georg.

The universe of conicsfrom the Ancient Greeks to 21st century developments /[electronic resource] :by Georg Glaeser, Hellmuth Stachel, Boris Odehnal. - Second edition. - Berlin, Heidelberg :Springer Berlin Heidelberg :2024. - viii, 580 p. :ill., digital ;24 cm.

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.

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. Authors Georg Glaeser, born 1955, got his PhD and habilitation in geometry at the Vienna University of Technology, 1998-2023 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. 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 180 articles on geometry. 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, from 2023 full professor of geometry at the University of Applied Arts Vienna. Author of several dozens of publications on geometry.

ISBN: 9783662703069

Standard No.: 10.1007/978-3-662-70306-9doiSubjects--Topical Terms:

1107085
Conic sections.

LC Class. No.: QA485 / .G53 2024

Dewey Class. No.: 516.2152

The universe of conics = from the Ancient Greeks to 21st century developments /
LDR:03214nam a2200337 a 4500 001 1153962
003 DE-He213
005 20241229115251.0
006 m d
007 cr nn 008maaau
008 250619s2024 gw s 0 eng d
020 $a 9783662703069 $q (electronic bk.)
020 $a 9783662703052 $q (paper)
024 7 $a 10.1007/978-3-662-70306-9 $2 doi
035 $a 978-3-662-70306-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA485 $b .G53 2024
072 7 $a PBM $2 bicssc
072 7 $a MAT012000 $2 bisacsh
072 7 $a PBM $2 thema
082 0 4 $a 516.2152 $2 23
090 $a QA485 $b .G543 2024
100 1 $a Glaeser, Georg. $3 1068828
245 1 4 $a The universe of conics $h [electronic resource] : $b from the Ancient Greeks to 21st century developments / $c by Georg Glaeser, Hellmuth Stachel, Boris Odehnal.
250 $a Second edition.
260 $a Berlin, Heidelberg : $c 2024. $b Springer Berlin Heidelberg : $b Imprint: Springer,
300 $a viii, 580 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
520 $a 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. Authors Georg Glaeser, born 1955, got his PhD and habilitation in geometry at the Vienna University of Technology, 1998-2023 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. 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 180 articles on geometry. 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, from 2023 full professor of geometry at the University of Applied Arts Vienna. Author of several dozens of publications on geometry.
650 0 $a Conic sections. $3 1107085
650 0 $a Conics, Spherical. $3 1107086
650 1 4 $a Geometry. $3 579899
650 2 4 $a Applications of Mathematics. $3 669175
700 1 $a Stachel, Hellmuth. $3 1107083
700 1 $a Odehnal, Boris. $3 1107084
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-662-70306-9
950 $a Mathematics and Statistics (SpringerNature-11649)