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Outer billiards on kites [[electronic resource] /] / Richard Evan Schwartz
| Outer billiards on kites [[electronic resource] /] / Richard Evan Schwartz |
| Autore | Schwartz Richard Evan |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, c2009 |
| Descrizione fisica | 1 online resource (321 p.) |
| Disciplina | 516.9 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Hyperbolic spaces
Singularities (Mathematics) Transformations (Mathematics) Geometry, Plane |
| Soggetto non controllato |
Abelian group
Automorphism Big O notation Bijection Binary number Bisection Borel set C0 Calculation Cantor set Cartesian coordinate system Combination Compass-and-straightedge construction Congruence subgroup Conjecture Conjugacy class Continuity equation Convex lattice polytope Convex polytope Coprime integers Counterexample Cyclic group Diameter Diophantine approximation Diophantine equation Disjoint sets Disjoint union Division by zero Embedding Equation Equivalence class Ergodic theory Ergodicity Factorial Fiber bundle Fibonacci number Fundamental domain Gauss map Geometry Half-integer Homeomorphism Hyperbolic geometry Hyperplane Ideal triangle Intersection (set theory) Interval exchange transformation Inverse function Inverse limit Isometry group Lattice (group) Limit set Line segment Linear algebra Linear function Line–line intersection Main diagonal Modular group Monotonic function Multiple (mathematics) Orthant Outer billiard Parallelogram Parameter Partial derivative Penrose tiling Permutation Piecewise Polygon Polyhedron Polytope Product topology Projective geometry Rectangle Renormalization Rhombus Right angle Rotational symmetry Sanity check Scientific notation Semicircle Sign (mathematics) Special case Square root of 2. Subsequence Summation Symbolic dynamics Symmetry group Tangent Tetrahedron Theorem Toy model Translational symmetry Trapezoid Triangle group Triangle inequality Two-dimensional space Upper and lower bounds Upper half-plane Without loss of generality Yair Minsky |
| ISBN |
1-282-45858-2
9786612458583 1-4008-3197-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Introduction -- Part 1. The Erratic Orbits Theorem -- Chapter 2. The Arithmetic Graph -- Chapter 3. The Hexagrid Theorem -- Chapter 4. Period Copying -- Chapter 5. Proof of the Erratic Orbits Theorem -- Part 2. The Master Picture Theorem -- Chapter 6. The Master Picture Theorem -- Chapter 7. The Pinwheel Lemma -- Chapter 8. The Torus Lemma -- Chapter 9. The Strip Functions -- Chapter 10. Proof of the Master Picture Theorem -- Part 3. Arithmetic Graph Structure Theorems -- Chapter 11. Proof of the Embedding Theorem -- Chapter 12. Extension and Symmetry -- Chapter 13. Proof of Hexagrid Theorem I -- Chapter 14. The Barrier Theorem -- Chapter 15. Proof of Hexagrid Theorem II -- Chapter 16. Proof of the Intersection Lemma -- Part 4. Period-Copying Theorems -- Chapter 17. Diophantine Approximation -- Chapter 18. The Diophantine Lemma -- Chapter 19. The Decomposition Theorem -- Chapter 20. Existence of Strong Sequences -- Part 5. The Comet Theorem -- Chapter 21. Structure of the Inferior and Superior Sequences -- Chapter 22. The Fundamental Orbit -- Chapter 23. The Comet Theorem -- Chapter 24. Dynamical Consequences -- Chapter 25. Geometric Consequences -- Part 6. More Structure Theorems -- Chapter 26. Proof of the Copy Theorem -- Chapter 27. Pivot Arcs in the Even Case -- Chapter 28. Proof of the Pivot Theorem -- Chapter 29. Proof of the Period Theorem -- Chapter 30. Hovering Components -- Chapter 31. Proof of the Low Vertex Theorem -- Appendix -- Bibliography -- Index |
| Record Nr. | UNINA-9910781200003321 |
Schwartz Richard Evan
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| Princeton, NJ, : Princeton University Press, c2009 | ||
| 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 | ||
| ||
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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Surface Area. (AM-35), Volume 35 / / Lamberto Cesari
| Surface Area. (AM-35), Volume 35 / / Lamberto Cesari |
| Autore | Cesari Lamberto |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (612 pages) : illustrations |
| Disciplina | 516.36 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Surfaces |
| Soggetto non controllato |
Absolute continuity
Addition Admissible set Arc length Axiom Axiomatic system Bearing (navigation) Bounded variation Calculus of variations Circumference Compact space Complex analysis Concentric Connected space Continuous function (set theory) Continuous function Corollary Countable set Covering set Curve Derivative Diameter Differentiable function Differential geometry Direct proof Dirichlet integral Disjoint sets Empty set Equation Equicontinuity Existence theorem Existential quantification Function (mathematics) Functional analysis Geometry Hausdorff measure Homeomorphism Homotopy Infimum and supremum Integral geometry Intersection number (graph theory) Interval (mathematics) Iterative method Jacobian Lebesgue integration Lebesgue measure Limit (mathematics) Limit point Limit superior and limit inferior Linearity Line–line intersection Locally compact space Mathematician Mathematics Measure (mathematics) Metric space Morphism Natural number Nonparametric statistics Orientability Parameter Parametric equation Parametric surface Partial derivative Potential theory Radon–Nikodym theorem Representation theorem Representation theory Right angle Semi-continuity Set function Set theory Sign (mathematics) Smoothness Space-filling curve Subset Summation Surface area Tangent space Theorem Topological space Topology Total order Total variation Uniform convergence Unit square |
| ISBN | 1-4008-8232-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- CHAPTER I. INTRODUCTORY- CONSIDERATIONS -- CHAPTER II. LEBESGUE AREA -- CHAPTER III. THE GEÖCZE AREAS V AND U AND THE PEANO AREA P -- CHAPTER IV. BV AND AC PLANE MAPPINGS -- CHAPTER V. THE FIRST THEOREM -- CHAPTER VI. THE CAVALIERI INEQUALITY -- CHAPTER VII. IDENTIFICATION OF LEBESGUE, GEÖCZE, PEANO AREAS -- CHAPTER VIII. GEOMETRICAL PROPERTIES AND THE SECOND THEOREM -- CHAPTER IX. THE REPRESENTATION PROBLEM -- CHAPTER X. THE REPRESENTATION OF GENERAL SURFACES AND THE THIRD THEOREM -- APPENDIX A. A DIRECT PROOF OF A PROPERTY OF CONTINUOUS SURFACES -- APPENDIX B. WEIERSTRASS INTEGRAL OVER A SURFACE -- BIBLIOGRAPHY -- SPECIAL SIGNS AND ABBREVIATIONS -- Backmatter |
| Record Nr. | UNINA-9910154743203321 |
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Cesari Lamberto
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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