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Geometry: from Isometries to Special Relativity / Nam-Hoon Lee
| Geometry: from Isometries to Special Relativity / Nam-Hoon Lee |
| Autore | Lee, Nam-Hoon |
| Pubbl/distr/stampa | Cham, : Springer, 2020 |
| Descrizione fisica | xii, 258 p. : ill. ; 24 cm |
| Soggetto topico |
51-XX - Geometry [MSC 2020]
51M10 - Hyperbolic and elliptic geometries (general) and generalizations [MSC 2020] 51Pxx - Classical or axiomatic geometry and physics [MSC 2020] 83Axx - Special relativity [MSC 2020] 53B30 - Local differential geometry of Lorentz metrics, indefinite metrics [MSC 2020] 51M05 - Euclidean geometries (general) and generalizations [MSC 2020] 51F15 - Reflection groups, reflection geometries [MSC 2020] 51B20 - Minkowski geometries in nonlinear incidence geometry [MSC 2020] |
| Soggetto non controllato |
Euclidean geometry and relativity
Euclidean plane Geometry via isometries Hyperbolic geometry Hyperbolic plane Isometries of the plane Non-Euclidean geometry and relativity Poincaré disk Special relativity via geometry Stereographic projection Three reflections theorem Undergraduate geometry and relativity |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0249315 |
Lee, Nam-Hoon
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| Cham, : Springer, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Geometry: from Isometries to Special Relativity / Nam-Hoon Lee
| Geometry: from Isometries to Special Relativity / Nam-Hoon Lee |
| Autore | Lee, Nam-Hoon |
| Pubbl/distr/stampa | Cham, : Springer, 2020 |
| Descrizione fisica | xii, 258 p. : ill. ; 24 cm |
| Soggetto topico |
51-XX - Geometry [MSC 2020]
51B20 - Minkowski geometries in nonlinear incidence geometry [MSC 2020] 51F15 - Reflection groups, reflection geometries [MSC 2020] 51M05 - Euclidean geometries (general) and generalizations [MSC 2020] 51M10 - Hyperbolic and elliptic geometries (general) and generalizations [MSC 2020] 51Pxx - Classical or axiomatic geometry and physics [MSC 2020] 53B30 - Local differential geometry of Lorentz metrics, indefinite metrics [MSC 2020] 83Axx - Special relativity [MSC 2020] |
| Soggetto non controllato |
Euclidean geometry and relativity
Euclidean plane Geometry Geometry via isometries Hyperbolic geometry Hyperbolic plane Isometries of the plane Non-Euclidean geometry and relativity Poincaré disk Relativity Special Relativity Stereographic projection Three reflections theorem |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00249315 |
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Lee, Nam-Hoon
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| Cham, : Springer, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Lectures on Differential Equations. (AM-14), Volume 14 / / Solomon Lefschetz
| Lectures on Differential Equations. (AM-14), Volume 14 / / Solomon Lefschetz |
| Autore | Lefschetz Solomon |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (221 pages) |
| Disciplina | 517.38 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Differential equations |
| Soggetto non controllato |
Abscissa
Absolute value Addition Adjoint Algebraic topology Antiderivative Approximation Canonical form Cartesian coordinate system Characteristic equation Characteristic exponent Circumference Coefficient matrix Coefficient Compact space Complex number Complex plane Complex-valued function Condition index Conformal map Connected space Conservation of energy Continuous function Convex hull Coordinate system Corollary Degrees of freedom (statistics) Derivative Determinant Diagram (category theory) Differentiable function Differential equation Dimension Dissipation Eigenvalues and eigenvectors Empty set Entire function Equation Euclidean geometry Euclidean space Existence theorem Existential quantification Exterior (topology) Holomorphic function Homogeneous polynomial Inflection point Initial point Integer Intersection (set theory) Jacobian matrix and determinant Jordan curve theorem Limit point Limit set Line at infinity Linear differential equation Linear map Lipschitz continuity Lyapunov stability Mathematical physics Mathematician Matrix function Maximal set Monotonic function Nonlinear system Notation Open set Parameter Parametric equation Partial derivative Periodic function Phase space Polar coordinate system Polynomial Power series Projective geometry Projective plane Quadratic Radius of convergence Rectangle Regular representation Saddle point Separatrix (mathematics) Set theory Simple polygon Solomon Lefschetz Special case Spherical cap Stereographic projection Subset Summation Theorem Theory Topological property Toroid Two-dimensional space Uniform convergence Upper and lower bounds Variable (mathematics) Vector space Zero of a function |
| ISBN | 1-4008-8194-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- TABLE OF CONTENTS -- CHAPTER I. SOME PRELIMINARY QUESTIONS -- CHAPTER II. DIFFERENTIAL EQUATIONS -- CHAPTER III. LINEAR SYSTEMS -- CHAPTER IV. CRITICAL POINTS AND PERIODIC MOTIONS QUESTIONS OF STABILITY -- CHAPTER V. TWO DIMENSIONAL SYSTEMS -- CHAPTER VI. APPLICATION TO CERTAIN EQUATIONS' OF THE SECOND ORDER -- INDEX |
| Record Nr. | UNINA-9910154749803321 |
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Lefschetz Solomon
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Spherical CR geometry and Dehn surgery / / Richard Evan Schwartz
| Spherical CR geometry and Dehn surgery / / Richard Evan Schwartz |
| Autore | Schwartz Richard Evan |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton : , : Princeton University Press, , 2007 |
| Descrizione fisica | 1 online resource (199 p.) |
| Disciplina | 516.3/6 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
CR submanifolds
Dehn surgery (Topology) Three-manifolds (Topology) |
| Soggetto non controllato |
Arc (geometry)
Automorphism Ball (mathematics) Bijection Bump function CR manifold Calculation Canonical basis Cartesian product Clifford torus Combinatorics Compact space Conjugacy class Connected space Contact geometry Convex cone Convex hull Coprime integers Coset Covering space Dehn surgery Dense set Diagram (category theory) Diameter Diffeomorphism Differential geometry of surfaces Discrete group Double coset Eigenvalues and eigenvectors Equation Equivalence class Equivalence relation Euclidean distance Four-dimensional space Function (mathematics) Fundamental domain Geometry and topology Geometry Harmonic function Hexagonal tiling Holonomy Homeomorphism Homology (mathematics) Homotopy Horosphere Hyperbolic 3-manifold Hyperbolic Dehn surgery Hyperbolic geometry Hyperbolic manifold Hyperbolic space Hyperbolic triangle Hypersurface I0 Ideal triangle Intermediate value theorem Intersection (set theory) Isometry group Isometry Limit point Limit set Manifold Mathematical induction Metric space Möbius transformation Parameter Parity (mathematics) Partial derivative Partition of unity Permutation Polyhedron Projection (linear algebra) Projectivization Quotient space (topology) R-factor (crystallography) Real projective space Right angle Sard's theorem Seifert fiber space Set (mathematics) Siegel domain Simply connected space Solid torus Special case Sphere Stereographic projection Subgroup Subsequence Subset Tangent space Tangent vector Tetrahedron Theorem Topology Torus Transversality (mathematics) Triangle group Union (set theory) Unit disk Unit sphere Unit tangent bundle |
| ISBN |
1-4008-3719-7
0-691-12810-3 |
| Classificazione | SK 350 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Part 1. Basic Material -- Part 2. Proof of the HST -- Part 3. The Applications -- Part 4. Structure of Ideal Triangle Groups -- Bibliography -- Index |
| Record Nr. | UNINA-9910791746703321 |
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Schwartz Richard Evan
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| Princeton : , : Princeton University Press, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Spherical CR geometry and Dehn surgery / / Richard Evan Schwartz
| Spherical CR geometry and Dehn surgery / / Richard Evan Schwartz |
| Autore | Schwartz Richard Evan |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton : , : Princeton University Press, , 2007 |
| Descrizione fisica | 1 online resource (199 p.) |
| Disciplina | 516.3/6 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
CR submanifolds
Dehn surgery (Topology) Three-manifolds (Topology) |
| Soggetto non controllato |
Arc (geometry)
Automorphism Ball (mathematics) Bijection Bump function CR manifold Calculation Canonical basis Cartesian product Clifford torus Combinatorics Compact space Conjugacy class Connected space Contact geometry Convex cone Convex hull Coprime integers Coset Covering space Dehn surgery Dense set Diagram (category theory) Diameter Diffeomorphism Differential geometry of surfaces Discrete group Double coset Eigenvalues and eigenvectors Equation Equivalence class Equivalence relation Euclidean distance Four-dimensional space Function (mathematics) Fundamental domain Geometry and topology Geometry Harmonic function Hexagonal tiling Holonomy Homeomorphism Homology (mathematics) Homotopy Horosphere Hyperbolic 3-manifold Hyperbolic Dehn surgery Hyperbolic geometry Hyperbolic manifold Hyperbolic space Hyperbolic triangle Hypersurface I0 Ideal triangle Intermediate value theorem Intersection (set theory) Isometry group Isometry Limit point Limit set Manifold Mathematical induction Metric space Möbius transformation Parameter Parity (mathematics) Partial derivative Partition of unity Permutation Polyhedron Projection (linear algebra) Projectivization Quotient space (topology) R-factor (crystallography) Real projective space Right angle Sard's theorem Seifert fiber space Set (mathematics) Siegel domain Simply connected space Solid torus Special case Sphere Stereographic projection Subgroup Subsequence Subset Tangent space Tangent vector Tetrahedron Theorem Topology Torus Transversality (mathematics) Triangle group Union (set theory) Unit disk Unit sphere Unit tangent bundle |
| ISBN |
1-4008-3719-7
0-691-12810-3 |
| Classificazione | SK 350 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Part 1. Basic Material -- Part 2. Proof of the HST -- Part 3. The Applications -- Part 4. Structure of Ideal Triangle Groups -- Bibliography -- Index |
| Record Nr. | UNINA-9910815312903321 |
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Schwartz Richard Evan
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| Princeton : , : Princeton University Press, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Strong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78 / / G. Daniel Mostow
| Strong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78 / / G. Daniel Mostow |
| Autore | Mostow G. Daniel |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (205 pages) |
| Disciplina | 516/.36 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Riemannian manifolds
Symmetric spaces Lie groups Rigidity (Geometry) |
| Soggetto non controllato |
Addition
Adjoint representation Affine space Approximation Automorphism Axiom Big O notation Boundary value problem Cohomology Compact Riemann surface Compact space Conjecture Constant curvature Corollary Counterexample Covering group Covering space Curvature Diameter Diffeomorphism Differentiable function Dimension Direct product Division algebra Ergodicity Erlangen program Existence theorem Exponential function Finitely generated group Fundamental domain Fundamental group Geometry Half-space (geometry) Hausdorff distance Hermitian matrix Homeomorphism Homomorphism Hyperplane Identity matrix Inner automorphism Isometry group Jordan algebra Matrix multiplication Metric space Morphism Möbius transformation Normal subgroup Normalizing constant Partially ordered set Permutation Projective space Riemann surface Riemannian geometry Sectional curvature Self-adjoint Set function Smoothness Stereographic projection Subgroup Subset Summation Symmetric space Tangent space Tangent vector Theorem Topology Tubular neighborhood Two-dimensional space Unit sphere Vector group Weyl group |
| ISBN | 1-4008-8183-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- §1. Introduction -- §2. Algebraic Preliminaries -- §3. The Geometry of χ : Preliminaries -- §4. A Metric Definition of the Maximal Boundary -- §5. Polar Parts -- §6. A Basic Inequality -- §7. Geometry of Neighboring Flats -- §8. Density Properties of Discrete Subgroups -- §8. Density Properties of Discrete Subgroups -- § 10. Pseudo Isometries of Simply Connected Spaces with Negative Curvature -- §11. Polar Regular Elements in Co-Compact Γ -- § 12. Pseudo-Isometric Invariance of Semi-Simple and Unipotent Elements -- §13. The Basic Approximation -- §14. The Map ∅̅ -- §15. The Boundary Map ∅0 -- §16. Tits Geometries -- §17. Rigidity for R-rank > 1 -- §18. The Restriction to Simple Groups -- §19. Spaces of R-rank 1 -- §20. The Boundary Semi-Metric -- §21. Quasi-Conformal Mappings Over K and Absolute Continuity on Almost All R-Circles -- §22. The Effect of Ergodicity -- §23. R-Rank 1 Rigidity Proof Concluded -- §24. Concluding Remarks -- Bibliography -- Backmatter |
| Record Nr. | UNINA-9910154743303321 |
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Mostow G. Daniel
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 / / David Eisenbud, Walter D. Neumann
| Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 / / David Eisenbud, Walter D. Neumann |
| Autore | Eisenbud David |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (184 pages) : illustration |
| Disciplina | 514.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Link theory
Invariants Curves, Plane Singularities (Mathematics) |
| Soggetto non controllato |
3-sphere
Alexander Grothendieck Alexander polynomial Algebraic curve Algebraic equation Algebraic geometry Algebraic surface Algorithm Ambient space Analytic function Approximation Big O notation Call graph Cartesian coordinate system Characteristic polynomial Closed-form expression Cohomology Computation Conjecture Connected sum Contradiction Coprime integers Corollary Curve Cyclic group Determinant Diagram (category theory) Diffeomorphism Dimension Disjoint union Eigenvalues and eigenvectors Equation Equivalence class Euler number Existential quantification Exterior (topology) Fiber bundle Fibration Foliation Fundamental group Geometry Graph (discrete mathematics) Ground field Homeomorphism Homology sphere Identity matrix Integer matrix Intersection form (4-manifold) Isolated point Isolated singularity Jordan normal form Knot theory Mathematical induction Monodromy matrix Monodromy N-sphere Natural transformation Newton polygon Newton's method Normal (geometry) Notation Pairwise Parametrization Plane curve Polynomial Power series Projective plane Puiseux series Quantity Rational function Resolution of singularities Riemann sphere Riemann surface Root of unity Scientific notation Seifert surface Set (mathematics) Sign (mathematics) Solid torus Special case Stereographic projection Submanifold Summation Theorem Three-dimensional space (mathematics) Topology Torus knot Torus Tubular neighborhood Unit circle Unit vector Unknot Variable (mathematics) |
| ISBN | 1-4008-8192-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Abstract -- Three-Dimensional Link Theory and Invariants of Plane Curve Singularities -- Introduction -- Review -- Preview -- Chapter I: Foundations -- Appendix to Chapter I: Algebraic Links -- Chapter II: Classification -- Chapter III: Invariants -- Chapter IV: Examples -- Chapter V: Relation to Plumbing -- References -- Backmatter |
| Record Nr. | UNINA-9910154742903321 |
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Eisenbud David
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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