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An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 / / Clifford Truesdell
| An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 / / Clifford Truesdell |
| Autore | Truesdell Clifford |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (197 pages) : illustrations |
| Disciplina | 517.5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Functional equations |
| Soggetto non controllato |
Addition
Antiderivative Asymptotic formula Bessel function Beta function Boundary value problem Change of variables Closed-form expression Coefficient Combination Continuous function Corollary Differential equation Enumeration Equation Existential quantification Explicit formula Exponential function Factorial Function (mathematics) Functional equation Hermite polynomials Hypergeometric function Integer Laguerre polynomials Laplace transform Legendre function Linear difference equation Linear differential equation Mathematical induction Mathematician Monomial Natural number Number theory Ordinary differential equation Parameter Periodic function Polygamma function Polynomial Potential theory Power series Rectangle Recurrence relation Remainder Scientific notation Sequent Simple function Singular solution Special case Special functions Summation Theorem Theory Uniqueness theorem Variable (mathematics) Without loss of generality |
| ISBN | 1-4008-8237-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | PREFACE -- TABLE OF CONTENTS -- Chapter I. The Object and Plan of This Essay -- Chapter II. Reduction to The F-Equation -- Chapter III. Existence and Uniqueness Theorems -- Chapter IV. Methods of Treating Special Functions Based on The Uniqueness Theorem for The Condition F(z, αO) = ψ (z) -- Chapter V. Remarks on Solutions Such That F(z, αO) = ψ (z) -- Chapter VI. Conclusions and Unsolved Problems -- Appendix I. Special Functions -- Appendix II. Operators -- Appendix III. Examples of Equations of Type (3-4) Not Reducible to The F-Equation -- Bibliography |
| Record Nr. | UNINA-9910154746503321 |
Truesdell Clifford
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
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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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Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), Volume 134 / / Louis H. Kauffman, Sostenes Lins
| Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), Volume 134 / / Louis H. Kauffman, Sostenes Lins |
| Autore | Kauffman Louis H. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (308 pages) : illustrations |
| Disciplina | 514/.224 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Knot theory
Three-manifolds (Topology) Invariants |
| Soggetto non controllato |
3-manifold
Addition Algorithm Ambient isotopy Axiom Backslash Barycentric subdivision Bijection Bipartite graph Borromean rings Boundary parallel Bracket polynomial Calculation Canonical form Cartesian product Cobordism Coefficient Combination Commutator Complex conjugate Computation Connected component (graph theory) Connected sum Cubic graph Diagram (category theory) Dimension Disjoint sets Disjoint union Elaboration Embedding Equation Equivalence class Explicit formula Explicit formulae (L-function) Factorial Fundamental group Graph (discrete mathematics) Graph embedding Handlebody Homeomorphism Homology (mathematics) Identity element Intersection form (4-manifold) Inverse function Jones polynomial Kirby calculus Knot theory Line segment Linear independence Matching (graph theory) Mathematical physics Mathematical proof Mathematics Maxima and minima Monograph Natural number Network theory Notation Numerical analysis Orientability Orthogonality Pairing Pairwise Parametrization Parity (mathematics) Partition function (mathematics) Permutation Poincaré conjecture Polyhedron Quantum group Quantum invariant Recoupling Recursion Reidemeister move Result Roger Penrose Root of unity Scientific notation Sequence Significant figures Simultaneous equations Smoothing Special case Sphere Spin network Summation Symmetric group Tetrahedron The Geometry Center Theorem Theory Three-dimensional space (mathematics) Time complexity Tubular neighborhood Two-dimensional space Vector field Vector space Vertex (graph theory) Winding number Writhe |
| ISBN | 1-4008-8253-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Chapter 1. Introduction -- Chapter 2. Bracket Polynomial, Temperley-Lieb Algebra -- Chapter 3. Jones-Wenzl Projectors -- Chapter 4. The 3-Vertex -- Chapter 5. Properties of Projectors and 3-Vertices -- Chapter 6. θ-Evaluations -- Chapter 7. Recoupling Theory Via Temperley-Lieb Algebra -- Chapter 8. Chromatic Evaluations and the Tetrahedron -- Chapter 9. A Summary of Recoupling Theory -- Chapter 10. A 3-Manifold Invariant by State Summation -- Chapter 11. The Shadow World -- Chapter 12. The Witten-Reshetikhin- Turaev Invariant -- Chapter 13. Blinks ↦ 3-Gems: Recognizing 3-Manifolds -- Chapter 14. Tables of Quantum Invariants -- Bibliography -- Index |
| Record Nr. | UNINA-9910154743003321 |
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Kauffman Louis H.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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