Table of Contents: “...Euclidean and Non-­Euclidean Geometries: How they appear -- Basic Facts in Euclidean and Minkowski Plane Geometry -- From Projective Geometry to Poincaré Disk. How to carry out a Non-Euclidean Geometry Model -- Revisiting the Differential Geometry...”

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Table of Contents: “...1. Euclidean and Non-­Euclidean Geometries: How they appear -- 2. Basic Facts in Euclidean and Minkowski Plane Geometry -- 3. Geometric Inversion, Cross Ratio, Projective Geometry and Poincaré Disk Model -- 4. Surfaces in 3D-Spaces -- 5. Basic...”

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Table of Contents: “...Gauss and the non-Euclidean geometry /...”

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Table of Contents: “... of Non-Euclidean Geometry to Extension Theory -- Notion of Parallelism on a General Manifold and Consequent Geometrical Specification of the Riemannian Curvature (Excerpts) -- Purely Infinitesimal Geometry (Excerpt) -- The Dynamics of Continuous Media...”

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Table of Contents: “...Dedication. Preface. Acknowledgments. Clifford Geometric Algebras in Multilinear Algebra and Non-Euclidean Geometries -- Geometric algebra Projective Geometries;Affine and other geometries; Affine Geometry of pseudo-euclidean space; Conformal Geometry...”

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Table of Contents: “...The birth of non-Euclidean geometry -- Riemann's vision of a new approach to geometry -- Poincaré and Klein — groups and geometries -- Klein, Lie, and the “Erlanger programm” -- Apparent contours from Monge to Todd -- L'Espace : Concept abstrait et/ou...”

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Table of Contents: “... for metagalactic shock waves at redshifts z?2–3 -- Algebraic programming in general relativity and cosmology -- Finite euclidean and non-euclidean geometry with applications to the finite pendulum and the polygonal harmonic motion. A first step to finite cosmology -- IV...”

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