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The Universe of Quadrics

Authors: Odehnal, Boris, Stachel, Hellmuth, Glaeser, Georg

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  • Enriches  understanding of a both classical and modern subject with a strong visual component
  • Shows recent results in an accesible way
  • Broadens your understanding of geometry as a whole
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eBook $89.00
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  • ISBN 978-3-662-61053-4
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About this Textbook

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.

About the authors

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.


Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook $89.00
price for Mexico
  • ISBN 978-3-662-61053-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for Mexico
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Bibliographic Information

Bibliographic Information
Book Title
The Universe of Quadrics
Authors
Copyright
2020
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag GmbH Germany, part of Springer Nature
eBook ISBN
978-3-662-61053-4
DOI
10.1007/978-3-662-61053-4
Hardcover ISBN
978-3-662-61052-7
Edition Number
1
Number of Pages
VIII, 606
Number of Illustrations
1 b/w illustrations
Topics