Hellmuth Stachel's Books

The Universe of Quadrics

By: Boris Odehnal,Hellmuth Stachel,Georg Glaeser

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The Universe of Quadrics

By: Boris Odehnal,Hellmuth Stachel,Georg Glaeser

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.

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Page Count

608

Publisher

Springer Nature

Published Date

ISBN 10

3662610531

ISBN 13

9783662610534

The Universe of Conics

From the ancient Greeks to 21st century developments

By: Georg Glaeser,Hellmuth Stachel,Boris Odehnal

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The Universe of Conics

From the ancient Greeks to 21st century developments

By: Georg Glaeser,Hellmuth Stachel,Boris Odehnal

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.

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Page Count

496

Publisher

Springer

Published Date

ISBN 10

3662454505

ISBN 13

9783662454503

Open Geometry: OpenGL® + Advanced Geometry

By: Georg Glaeser,Hellmuth Stachel

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Open Geometry: OpenGL® + Advanced Geometry

By: Georg Glaeser,Hellmuth Stachel

At once a programming course that emphasises object-oriented thinking as well as a well-documented, versatile, and robust geometry library. All of the relevant geometry is covered in depth to provide a good understanding of the background to this topic. Many of the most common intersection problems and measuring tasks are covered, with the authors discussing the creation of arbitrary geometric objects and the use of Boolean operations to create more general solid objects. As a result, all those looking for an in-depth introduction to graphics programming will find this a solid, hands-on text.

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