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Noneuclidean Laguerre Geometry And Incircular Nets 1st Ed 2021 Alexander I Bobenko

Name: Noneuclidean Laguerre Geometry And Incircular Nets 1st Ed 2021 Alexander I Bobenko
SKU: BELL-51678644
Price: 31.00 USD
Availability: InStock
Rating: 4 (26 reviews)

SKU: BELL-51678644

$ 31.00 ~~$ 45.00~~ (-31%)

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26 reviews

Noneuclidean Laguerre Geometry And Incircular Nets 1st Ed 2021 Alexander I Bobenko instant download after payment.

Publisher: Springer

File Extension: PDF

File size: 3.85 MB

Pages: 148

Author: Alexander I. Bobenko

ISBN: 9783030818463, 3030818462

Language: English

Year: 2021

Edition: 1st ed. 2021

Product desciption

Noneuclidean Laguerre Geometry And Incircular Nets 1st Ed 2021 Alexander I Bobenko by Alexander I. Bobenko 9783030818463, 3030818462 instant download after payment.

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.