東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

The universe of quadrics

Odehnal, Boris.

Linked to FindBook

Google Book

Amazon

博客來

The universe of quadrics

Record Type:	Electronic resources : Monograph/item
Title/Author:	The universe of quadrics/ by Boris Odehnal, Hellmuth Stachel, Georg Glaeser.
Author:	Odehnal, Boris.
other author:	Stachel, Hellmuth.
Published:	Berlin, Heidelberg :Springer Berlin Heidelberg : : 2020.,
Description:	viii, 606 p. :ill., digital ;24 cm.
[NT 15003449]:	1 Introduction -- 2 Quadrics in Euclidean 3-space -- 3 Linear algebraic approach to quadrics -- 4 Projective and affine quadrics -- 5 Pencils of quadrics -- 6 Cubic and quartic space curves as intersections of quadrics -- 7 Confocal quadrics -- 8 Special problems -- 9 Quadrics and Differential Geometry -- 10 Line Geometry, Sphere Geometry, Kinematics -- 11 Some generalizations of quadrics -- References -- Index.
Contained By:	Springer eBooks
Subject:	Quadrics. -
Online resource:	https://doi.org/10.1007/978-3-662-61053-4
ISBN:	9783662610534

The universe of quadrics
Odehnal, Boris.

The universe of quadrics[electronic resource] /by Boris Odehnal, Hellmuth Stachel, Georg Glaeser. - Berlin, Heidelberg :Springer Berlin Heidelberg :2020. - viii, 606 p. :ill., digital ;24 cm.

1 Introduction -- 2 Quadrics in Euclidean 3-space -- 3 Linear algebraic approach to quadrics -- 4 Projective and affine quadrics -- 5 Pencils of quadrics -- 6 Cubic and quartic space curves as intersections of quadrics -- 7 Confocal quadrics -- 8 Special problems -- 9 Quadrics and Differential Geometry -- 10 Line Geometry, Sphere Geometry, Kinematics -- 11 Some generalizations of quadrics -- References -- Index.

The Universe of Quadrics This text presents the theory of quadrics in a modern form. It builds on the previously published book "The Universe of Conics", including many novel results that are not easily accessible elsewhere. As in the conics book, the approach combines synthetic and analytic methods to derive projective, affine, and metrical properties, covering both Euclidean and non-Euclidean geometries. While the history of conics is more than two thousand years old, the theory of quadrics began to develop approximately three hundred years ago. Quadrics play a fundamental role in numerous fields of mathematics and physics, their applications ranging from mechanical engineering, architecture, astronomy, and design to computer graphics. This text will be invaluable to undergraduate and graduate mathematics students, those in adjacent fields of study, and anyone with a deeper interest in geometry. Complemented with about 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. The Authors Boris Odehnal, born in 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, he has held the position of senior lecturer in geometry at the University of Applied Arts Vienna. He is the author of several dozens of publications on geometry. Hellmuth Stachel, born in 1942, got his PhD and habilitation in geometry in Graz. In 1978, he became full professor at the Mining University Leoben, and from 1980-2011, he was full professor of geometry at the Vienna University of Technology. He has coauthored several books on mathematics and computational geometry and more than 160 articles on geometry. Georg Glaeser, born in 1955, got his PhD and habilitation in geometry at the Vienna University of Technology. Since 1998, he is full professor of geometry at the University of Applied Arts Vienna. He is the author and coauthor of more than twenty books on geometry, mathematics, computational geometry, computer graphics, and photography.

ISBN: 9783662610534

Standard No.: 10.1007/978-3-662-61053-4doiSubjects--Topical Terms:

1535271
Quadrics.

LC Class. No.: QA561 / .O344 2020

Dewey Class. No.: 516.3

The universe of quadrics
LDR:03618nmm a2200325 a 4500 001 2217938
003 DE-He213
005 20200817172445.0
006 m d
007 cr nn 008maaau
008 201120s2020 gw s 0 eng d
020 $a 9783662610534 $q (electronic bk.)
020 $a 9783662610527 $q (paper)
024 7 $a 10.1007/978-3-662-61053-4 $2 doi
035 $a 978-3-662-61053-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA561 $b .O344 2020
072 7 $a PBM $2 bicssc
072 7 $a MAT012000 $2 bisacsh
072 7 $a PBM $2 thema
082 0 4 $a 516.3 $2 23
090 $a QA561 $b .O23 2020
100 1 $a Odehnal, Boris. $3 2186940
245 1 4 $a The universe of quadrics $h [electronic resource] / $c by Boris Odehnal, Hellmuth Stachel, Georg Glaeser.
260 $a Berlin, Heidelberg : $b Springer Berlin Heidelberg : $b Imprint: Springer, $c 2020.
300 $a viii, 606 p. : $b ill., digital ; $c 24 cm.
505 0 $a 1 Introduction -- 2 Quadrics in Euclidean 3-space -- 3 Linear algebraic approach to quadrics -- 4 Projective and affine quadrics -- 5 Pencils of quadrics -- 6 Cubic and quartic space curves as intersections of quadrics -- 7 Confocal quadrics -- 8 Special problems -- 9 Quadrics and Differential Geometry -- 10 Line Geometry, Sphere Geometry, Kinematics -- 11 Some generalizations of quadrics -- References -- Index.
520 $a The Universe of Quadrics This text presents the theory of quadrics in a modern form. It builds on the previously published book "The Universe of Conics", including many novel results that are not easily accessible elsewhere. As in the conics book, the approach combines synthetic and analytic methods to derive projective, affine, and metrical properties, covering both Euclidean and non-Euclidean geometries. While the history of conics is more than two thousand years old, the theory of quadrics began to develop approximately three hundred years ago. Quadrics play a fundamental role in numerous fields of mathematics and physics, their applications ranging from mechanical engineering, architecture, astronomy, and design to computer graphics. This text will be invaluable to undergraduate and graduate mathematics students, those in adjacent fields of study, and anyone with a deeper interest in geometry. Complemented with about 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. The Authors Boris Odehnal, born in 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, he has held the position of senior lecturer in geometry at the University of Applied Arts Vienna. He is the author of several dozens of publications on geometry. Hellmuth Stachel, born in 1942, got his PhD and habilitation in geometry in Graz. In 1978, he became full professor at the Mining University Leoben, and from 1980-2011, he was full professor of geometry at the Vienna University of Technology. He has coauthored several books on mathematics and computational geometry and more than 160 articles on geometry. Georg Glaeser, born in 1955, got his PhD and habilitation in geometry at the Vienna University of Technology. Since 1998, he is full professor of geometry at the University of Applied Arts Vienna. He is the author and coauthor of more than twenty books on geometry, mathematics, computational geometry, computer graphics, and photography.
650 0 $a Quadrics. $3 1535271
650 1 4 $a Geometry. $3 517251
650 2 4 $a Applications of Mathematics. $3 890893
700 1 $a Stachel, Hellmuth. $3 2186939
700 1 $a Glaeser, Georg. $3 815899
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
856 4 0 $u https://doi.org/10.1007/978-3-662-61053-4
950 $a Mathematics and Statistics (Springer-11649)