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The Universe of Conics

From the ancient Greeks to 21st century developments

  • Georg Glaeser
  • Hellmuth Stachel
  • Boris Odehnal

Table of contents

  1. Front Matter
    Pages i-viii
  2. Georg Glaeser, Hellmuth Stachel, Boris Odehnal
    Pages 1-10
  3. Georg Glaeser, Hellmuth Stachel, Boris Odehnal
    Pages 11-60
  4. Georg Glaeser, Hellmuth Stachel, Boris Odehnal
    Pages 61-126
  5. Georg Glaeser, Hellmuth Stachel, Boris Odehnal
    Pages 127-176
  6. Georg Glaeser, Hellmuth Stachel, Boris Odehnal
    Pages 177-216
  7. Georg Glaeser, Hellmuth Stachel, Boris Odehnal
    Pages 217-258
  8. Georg Glaeser, Hellmuth Stachel, Boris Odehnal
    Pages 259-350
  9. Georg Glaeser, Hellmuth Stachel, Boris Odehnal
    Pages 351-374
  10. Georg Glaeser, Hellmuth Stachel, Boris Odehnal
    Pages 375-434
  11. Georg Glaeser, Hellmuth Stachel, Boris Odehnal
    Pages 435-479
  12. Back Matter
    Pages 480-488

About this book

Introduction

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

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 120 articles on geometry.

Georg Glaeser, born 1955, got his PhD and habilitation in geometry at the Vienna University of Technology. Since 1998 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.

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, since 2012 lecturer of geometry at the University of Applied Arts Vienna. Author of several dozens of publications on geometry.


Keywords

Applications Classical Geometry Conics Differential Geometry Geometry History of Mathematics Projective Geometry

Authors and affiliations

  • Georg Glaeser
    • 1
  • Hellmuth Stachel
    • 2
  • Boris Odehnal
    • 3
  1. 1.Department of GeometryUniversity of Applied Arts ViennaViennaAustria
  2. 2.Inst. of Disc. Mathematics and GeometryVienna University of TechnologyViennaAustria
  3. 3.Department of GeometryUniversity of Applied Arts ViennaViennaAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-45450-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2016
  • Publisher Name Springer Spektrum, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-662-45449-7
  • Online ISBN 978-3-662-45450-3
  • Buy this book on publisher's site
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