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Geometry Through History [[electronic resource] ] : Euclidean, Hyperbolic, and Projective Geometries / / by Meighan I. Dillon
| Geometry Through History [[electronic resource] ] : Euclidean, Hyperbolic, and Projective Geometries / / by Meighan I. Dillon |
| Autore | Dillon Meighan I |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (XII, 350 p. 233 illus. in color.) |
| Disciplina | 519.009 |
| Soggetto topico |
Convex geometry
Discrete geometry Mathematics History Hyperbolic geometry Projective geometry Convex and Discrete Geometry History of Mathematical Sciences Hyperbolic Geometry Projective Geometry |
| ISBN | 3-319-74135-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- 1. The Elements of Euclid -- 2. Neutral Geometry -- 3. The Hyperbolic Plane -- 4. Hilbert's Grundlagen -- 5. More Euclidean Geometry -- 6. Models for the Hyperbolic Plane -- 7. Affine Geometry -- 8. An Introduction to Projective Geometry -- 9. Algebraic Curves -- 10. Rotations and Quaternions -- Index. |
| Record Nr. | UNINA-9910300127303321 |
Dillon Meighan I
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometry: from Isometries to Special Relativity [[electronic resource] /] / by Nam-Hoon Lee
| Geometry: from Isometries to Special Relativity [[electronic resource] /] / by Nam-Hoon Lee |
| Autore | Lee Nam-Hoon |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
| Descrizione fisica | 1 online resource (XIII, 258 p. 92 illus., 18 illus. in color.) |
| Disciplina | 516 |
| Collana | Undergraduate Texts in Mathematics |
| Soggetto topico |
Hyperbolic geometry
Convex geometry Discrete geometry Mathematical physics Hyperbolic Geometry Convex and Discrete Geometry Theoretical, Mathematical and Computational Physics |
| ISBN | 3-030-42101-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Euclidean Plane -- Sphere -- Stereographic Projection and Inversions -- Hyperbolic Plane -- Lorentz-Minkowski Plane -- Geometry of Special Relativity -- Answers to Selected Exercises -- Index. |
| Record Nr. | UNISA-996418184703316 |
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Lee Nam-Hoon
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Geometry: from Isometries to Special Relativity [[electronic resource] /] / by Nam-Hoon Lee
| Geometry: from Isometries to Special Relativity [[electronic resource] /] / by Nam-Hoon Lee |
| Autore | Lee Nam-Hoon |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
| Descrizione fisica | 1 online resource (XIII, 258 p. 92 illus., 18 illus. in color.) |
| Disciplina | 516 |
| Collana | Undergraduate Texts in Mathematics |
| Soggetto topico |
Hyperbolic geometry
Convex geometry Discrete geometry Mathematical physics Hyperbolic Geometry Convex and Discrete Geometry Theoretical, Mathematical and Computational Physics |
| ISBN | 3-030-42101-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Euclidean Plane -- Sphere -- Stereographic Projection and Inversions -- Hyperbolic Plane -- Lorentz-Minkowski Plane -- Geometry of Special Relativity -- Answers to Selected Exercises -- Index. |
| Record Nr. | UNINA-9910484732403321 |
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Lee Nam-Hoon
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Recent trends in Lorentzian geometry [[electronic resource] /] / edited by Miguel Sánchez, Miguel Ortega, Alfonso Romero
| Recent trends in Lorentzian geometry [[electronic resource] /] / edited by Miguel Sánchez, Miguel Ortega, Alfonso Romero |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (356 p.) |
| Disciplina | 516.362 |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Convex geometry
Discrete geometry Hyperbolic geometry Differential geometry Convex and Discrete Geometry Hyperbolic Geometry Differential Geometry |
| Soggetto genere / forma | Conference proceedings. |
| ISBN |
1-283-84902-X
1-4614-4897-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Recent Trends in Lorentzian Geometry; Preface; Contents; Hyperbolic Metrics on Riemann Surfaces and Space-Like CMC-1 Surfaces in de Sitter 3-Space; 1 Generalized CMC-1 Faces in de Sitter 3-Space; 2 Extended Hyperbolic Metrics on Riemann Surfaces; 3 Fundamental Properties of Co-orientable Extended Hyperbolic Metrics; 4 Classification of de Sitter Catenoids; 5 Hyperbolic Metrics with At Most Two Regular Singularities; Appendix A: Projective Connections; Appendix B: A Property of Subgroups in PSU(1,1); References
Calabi-Bernstein Results and Parabolicity of Maximal Surfaces in Lorentzian Product Spaces1 Introduction; 2 The Classical Calabi-Bernstein Theorem in R31; 2.1 Space-Like Graphs and the Calabi-Bernstein Theorem; 2.2 Romero's Proof Based on the Liouville Theorem for Harmonic Functions on R2; 2.3 Alías and Palmer's Proof Based on a Duality Result; 2.4 Alías and Palmer's Proof Based on a Local Integral Inequality for the Gaussian Curvature; 3 Some Preliminaries on Lorentzian Product Spaces; 4 A Parametric Version of a Calabi-Bernstein Result; 5 A Nonparametric Version of a Calabi-Bernstein Result 6 Some Nontrivial Entire Maximal Graphs in H2R16.1 Duality Between Minimal and Maximal Graphs; 6.2 More Examples; 7 Relative Parabolicity of Maximal Surfaces; 7.1 Relative Parabolicity and Entire Maximal Graphs; 8 A Local Estimate for Maximal Surfaces in a Lorentzian Product Space; References; Umbilical-Type Surfaces in SpaceTime; 1 Introduction; 2 Basic Concepts and Notation; 2.1 Extrinsic Geometry: Second Fundamental Forms and Weingarten Operators; 2.2 Special Bases on x(S); 2.3 The Mean Curvature Vector Field H and Its Causal Character; 2.4 The Extrinsic Vector Field G 2.5 The Normal Connection One-Form s2.6 Curvatures: Gauss and Ricci Equations; 3 Umbilical-Type, Pseudo-umbilical, and Related Surfaces; 4 Proof of the Main Theorems; 5 Some Important Corollaries and Consequences; 6 Final Considerations; References; Stability of Marginally Outer Trapped Surfaces and Applications; 1 Introduction; 2 Definition of Marginally Outer Trapped Surface; 2.1 Geometry of Spacelike Surfaces; 2.2 Marginally Outer Trapped Surfaces; 3 Stability of MOTS; 3.1 Principal Eigenvalue of the Stability Operator; 3.2 Dependence of the Stability Properties on the Direction 4 Barrier Properties of MOTS4.1 MOTS and Symmetries; 5 MOTS and Killing Horizons; 5.1 Killing Horizons; 5.2 Stability Operator of MOTS in Killing Horizons; 6 Axially Symmetric MOTS and Angular Momentum; References; Area Inequalities for Stable Marginally Trapped Surfaces; 1 Introduction; 2 Geometric and Physical Elements; 2.1 Geometry of 2-Surfaces; 2.1.1 Axisymmetry; 2.2 Electromagnetic Field; 2.2.1 Yang-Mills Fields; 3 Stability of Marginally Outer Trapped Surfaces; 3.1 Basic Definitions; 3.2 Integral-Inequality Characterizations of MOTS Stability 3.3 Variants to the Stably Outermost Condition |
| Record Nr. | UNINA-9910438156603321 |
| New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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