The Universe of Quadrics

Author:   Boris Odehnal ,  Hellmuth Stachel ,  Georg Glaeser
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   1st ed. 2020
ISBN:  

9783662610527


Pages:   606
Publication Date:   22 April 2020
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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The Universe of Quadrics


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Full Product Details

Author:   Boris Odehnal ,  Hellmuth Stachel ,  Georg Glaeser
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1st ed. 2020
Weight:   1.392kg
ISBN:  

9783662610527


ISBN 10:   3662610523
Pages:   606
Publication Date:   22 April 2020
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

Reviews

“The Universe of Quadrics (UQ) is the beautifully written sequel to the authors’ 2016 The Universe of Conics (UC), which was also a pleasure to review. … Throughout UQ there is constant reference to UC and I would recommend readers interested in diving in these waters to have both texts close.” (Tushar Das, MAA Reviews, April 16, 2023) “The authors of this marvelous book … . Given the enormous wealth of results it contains … . It is clearly a labor of love, and if the subject has any chance of gaining readers, then this book is its best chance, given not only the care with which everything is presented, in a self-contained manner, but also the wealth of stunning multi-colored figures of the highest quality.” (Victor V. Pambuccian, Mathematical Reviews, March, 2022)


“The authors of this marvelous book … . Given the enormous wealth of results it contains … . It is clearly a labor of love, and if the subject has any chance of gaining readers, then this book is its best chance, given not only the care with which everything is presented, in a self-contained manner, but also the wealth of stunning multi-colored figures of the highest quality.” (Victor V. Pambuccian, Mathematical Reviews, March, 2022)


The authors of this marvelous book ... . Given the enormous wealth of results it contains ... . It is clearly a labor of love, and if the subject has any chance of gaining readers, then this book is its best chance, given not only the care with which everything is presented, in a self-contained manner, but also the wealth of stunning multi-colored figures of the highest quality. (Victor V. Pambuccian, Mathematical Reviews, March, 2022)


Author Information

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.

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