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Non Euclidean Laguerre Geometry and Incircular Nets SpringerBriefs in Mathematics 1st Edition by Alexander I Bobenko, Carl OR Lutz, Helmut Pottmann, Jan Techter ISBN 9783030818463 3030818462

Name: Non Euclidean Laguerre Geometry and Incircular Nets SpringerBriefs in Mathematics 1st Edition by Alexander I Bobenko, Carl OR Lutz, Helmut Pottmann, Jan Techter ISBN 9783030818463 3030818462
SKU: EB-35969270
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Non Euclidean Laguerre Geometry and Incircular Nets SpringerBriefs in Mathematics Bobenko Digital Instant Download

Author(s): Bobenko, Alexander I., Lutz, Carl O.R., Pottmann, Helmut, Techter, Jan

ISBN(s): 9783030818463, 3030818462

Edition: 1st ed. 2021

File Details: PDF, 4.42 MB

Year: 2021

Language: English

SKU: EB-35969270 Category: Mathematics Tags: Alexander I., Bobenko, Carl O.R., Helmut, Jan, Lutz, Pottmann, Techter

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Non Euclidean Laguerre Geometry and Incircular Nets SpringerBriefs in Mathematics 1st Edition by Alexander I Bobenko, Carl OR Lutz, Helmut Pottmann, Jan Techter – Ebook PDF Instant Download/Delivery: 9783030818463 ,3030818462
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Product details:

ISBN 10: 3030818462
ISBN 13: 9783030818463
Author: Alexander I Bobenko, Carl OR Lutz, Helmut Pottmann, Jan Techter

This textbook is a comprehensive and yet accessible introduction to non-Euclidean Laguerre geometry, for which there exists no previous systematic presentation in the literature. Moreover, we present new results by demonstrating all essential features of Laguerre geometry on the example of checkerboard incircular nets. Classical (Euclidean) Laguerre geometry studies oriented hyperplanes, oriented hyperspheres, and their oriented contact in Euclidean space. We describe how this can be generalized to arbitrary Cayley-Klein spaces, in particular hyperbolic and elliptic space, and study the corresponding groups of Laguerre transformations. We give an introduction to Lie geometry and describe how these Laguerre geometries can be obtained as subgeometries. As an application of two-dimensional Lie and Laguerre geometry we study the properties of checkerboard incircular nets.

Non Euclidean Laguerre Geometry and Incircular Nets SpringerBriefs in Mathematics 1st Edition Table of contents:

1. Introduction

2. Two-Dimensional Laguerre Geometry

3. Quadrics in Projective Space

4. Cayley-Klein Spaces

5. Central Projection of Quadrics and Möbius Geometry

6. Non-Euclidean Laguerre Geometry

7. Lie Geometry

8. Checkerboard Incircular Nets

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Tags: Alexander I Bobenko, Carl OR Lutz, Helmut Pottmann, Jan Techter, Non Euclidean Laguerre, Mathematics