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Differential geometry [[electronic resource] /] / [by] J. J. Stoker
| Differential geometry [[electronic resource] /] / [by] J. J. Stoker |
| Autore | Stoker J. J (James Johnston), <1905-> |
| Pubbl/distr/stampa | New York, : Wiley-Interscience, 1989, c1969 |
| Descrizione fisica | 1 online resource (428 p.) |
| Disciplina |
516
516.7 |
| Collana | Pure and applied mathematics, v. 20 |
| Soggetto topico |
Geometry, Differential
Manifolds (Mathematics) |
| ISBN |
1-283-27398-5
9786613273987 1-118-16546-2 1-118-16547-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Differential Geometry; CONTENTS; Chapter I Operations with Vectors; 1. The vector notation; 2. Addition of vectors; 3. Multiplication by scalars; 4. Representation of a vector by means of linearly independent vectors; 5. Scalar product; 6. Vector product; 7. Scalar triple product; 8. Invariance under orthogonal transformations; 9. Vector calculus; Chapter II Plane Curves; 1. Introduction; 2. Regular curves; 3. Change of parameters; 4. Invariance under changes of parameter; 5. Tangent lines and tangent vectors of a curve; 6. Orientation of a curve; 7. Length of a curve
1. Regular curves2. Length of a curve; 3. Curvature of space curves; 4. Principal normal and osculating plane; 5. Binormal vector; 6. Torsion τ of a space curve; 7. The Frenet equations for space curves; 8. Rigid body motions and the rotation vector; 9. The Darboux vector; 10. Formulas for κ and τ; 11. The sign of τ; 12. Canonical representation of a curve; 13. Existence and uniqueness of a space curve for given κ (S), τ (S); 14. What about κ = 0?; 15. Another way to define space curves; 16. Some special curves; Chapter IV The Basic Elements of Surface Theory 1. Regular surfaces in Euclidean space2. Change of parameters; 3. Curvilinear coordinate curves on a surface; 4. Tangent plane and normal vector; 5. Length of curves and first fundamental form; 6. Invariance of the first fundamental form; 7. Angle measurement on surfaces; 8. Area of a surface; 9. A few examples; 10. Second fundamental form of a surface; 11. Osculating paraboloid; 12. Curvature of curves on a surface; 13. Principal directions and principal curvatures; 14. Mean curvature H and Gaussian curvature K; 15. Another definition of the Gaussian curvature K; 16. Lines of curvature 17. Third fundamental form18. Characterization of the sphere as a locus of umbilical points; 19. Asymptotic lines; 20. Torsion of asymptotic lines; 21. Introduction of special parameter curves; 22. Asymptotic lines and lines of curvature as parameter curves; 23. Embedding a given arc in a system of parameter curves; 24. Analogues of polar coordinates on a surface; Chapter V Some Special Surfaces; 1. Surfaces of revolution; 2. Developable surfaces in the small made up of parabolic points; 3. Edge of regression of a developable; 4. Why the name developable? 5. Developable surfaces in the large1 |
| Record Nr. | UNINA-9910840749203321 |
Stoker J. J (James Johnston), <1905->
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| New York, : Wiley-Interscience, 1989, c1969 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Differential Geometry and Mathematical Physics [[electronic resource] ] : Part I. Manifolds, Lie Groups and Hamiltonian Systems / / by Gerd Rudolph, Matthias Schmidt
| Differential Geometry and Mathematical Physics [[electronic resource] ] : Part I. Manifolds, Lie Groups and Hamiltonian Systems / / by Gerd Rudolph, Matthias Schmidt |
| Autore | Rudolph Gerd |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (765 p.) |
| Disciplina |
515.7
516.36 |
| Collana | Theoretical and Mathematical Physics |
| Soggetto topico |
Physics
Global analysis (Mathematics) Manifolds (Mathematics) Mechanics Topological groups Lie groups Differential geometry Mathematical Methods in Physics Global Analysis and Analysis on Manifolds Classical Mechanics Topological Groups, Lie Groups Differential Geometry |
| ISBN |
1-283-90982-0
94-007-5345-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Differentiable manifolds -- 2 Vector bundles -- 3 Vector fields -- 4 Differential forms -- 5 Lie groups -- 6 Lie group actions -- 7 Linear symplectic algebra -- 8 Symplectic geometry -- 9 Hamiltonian systems -- 10 Symmetries -- 11 Integrability -- 12 Hamilton-Jacobi theory -- References. |
| Record Nr. | UNINA-9910736987103321 |
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Rudolph Gerd
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| Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Differential Geometry of Curves and Surfaces [[electronic resource] /] / by Shoshichi Kobayashi
| Differential Geometry of Curves and Surfaces [[electronic resource] /] / by Shoshichi Kobayashi |
| Autore | Kobayashi Shoshichi |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2019 |
| Descrizione fisica | 1 online resource (XII, 192 p. 1 illus.) |
| Disciplina | 516.36 |
| Collana | Springer Undergraduate Mathematics Series |
| Soggetto topico |
Differential geometry
Mathematical analysis Analysis (Mathematics) Manifolds (Mathematics) Complex manifolds Differential Geometry Analysis Manifolds and Cell Complexes (incl. Diff.Topology) |
| ISBN | 981-15-1739-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Plane Curves and Space Curves -- Local Theory of Surfaces in the Space -- Geometry of Surfaces -- The Gauss-Bonnet Theorem -- Minimal Surfaces. . |
| Record Nr. | UNINA-9910360852603321 |
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Kobayashi Shoshichi
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| Singapore : , : Springer Singapore : , : Imprint : Springer, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Differential Topology [[electronic resource] /] / by Amiya Mukherjee
| Differential Topology [[electronic resource] /] / by Amiya Mukherjee |
| Autore | Mukherjee Amiya |
| Edizione | [2nd ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2015 |
| Descrizione fisica | 1 online resource (XIII, 349 p. 25 illus.) |
| Disciplina | 514.223 |
| Soggetto topico |
Global analysis (Mathematics)
Manifolds (Mathematics) Complex manifolds Global Analysis and Analysis on Manifolds Manifolds and Cell Complexes (incl. Diff.Topology) |
| ISBN | 3-319-19045-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- 1.Basic Concepts of Manifolds -- 2.Approximation Theorems and Whitney s Embedding -- 3.Linear Structures on Manifolds -- 4.Riemannian Manifolds -- 5.Vector Bundles on Manifolds -- 6.Transversality -- 7.Tubular Neighbourhoods -- 8.Spaces of Smooth Maps -- 9.Morse Theory -- 10.Theory of Handle Presentations -- Bibliography -- Index. . |
| Record Nr. | UNINA-9910299770503321 |
|
Mukherjee Amiya
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Dirac Spectrum [[electronic resource] /] / by Nicolas Ginoux
| The Dirac Spectrum [[electronic resource] /] / by Nicolas Ginoux |
| Autore | Ginoux Nicolas |
| Edizione | [1st ed. 2009.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2009 |
| Descrizione fisica | 1 online resource (XV, 156 p.) |
| Disciplina | 530.143 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Global analysis (Mathematics)
Manifolds (Mathematics) Differential geometry Partial differential equations Global Analysis and Analysis on Manifolds Differential Geometry Partial Differential Equations |
| ISBN |
1-280-38432-8
9786613562241 3-642-01570-0 |
| Classificazione |
35P1553C2758C4058J3258J50
MAT 358f MAT 537f MAT 580f SI 850 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Basics of spin geometry -- Explicit computations of spectra -- Lower eigenvalue estimates on closed manifolds -- Lower eigenvalue estimates on compact manifolds with boundary -- Upper eigenvalue bounds on closed manifolds -- Prescription of eigenvalues on closed manifolds -- The Dirac spectrum on non-compact manifolds -- Other topics related with the Dirac spectrum. |
| Record Nr. | UNISA-996466496103316 |
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Ginoux Nicolas
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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The Dirac Spectrum [[electronic resource] /] / by Nicolas Ginoux
| The Dirac Spectrum [[electronic resource] /] / by Nicolas Ginoux |
| Autore | Ginoux Nicolas |
| Edizione | [1st ed. 2009.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2009 |
| Descrizione fisica | 1 online resource (XV, 156 p.) |
| Disciplina | 530.143 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Global analysis (Mathematics)
Manifolds (Mathematics) Differential geometry Partial differential equations Global Analysis and Analysis on Manifolds Differential Geometry Partial Differential Equations |
| ISBN |
1-280-38432-8
9786613562241 3-642-01570-0 |
| Classificazione |
35P1553C2758C4058J3258J50
MAT 358f MAT 537f MAT 580f SI 850 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Basics of spin geometry -- Explicit computations of spectra -- Lower eigenvalue estimates on closed manifolds -- Lower eigenvalue estimates on compact manifolds with boundary -- Upper eigenvalue bounds on closed manifolds -- Prescription of eigenvalues on closed manifolds -- The Dirac spectrum on non-compact manifolds -- Other topics related with the Dirac spectrum. |
| Record Nr. | UNINA-9910484766003321 |
|
Ginoux Nicolas
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Diversity and Beauty of Applied Operator Theory [[electronic resource] /] / edited by Albrecht Böttcher, Daniel Potts, Peter Stollmann, David Wenzel
| The Diversity and Beauty of Applied Operator Theory [[electronic resource] /] / edited by Albrecht Böttcher, Daniel Potts, Peter Stollmann, David Wenzel |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 |
| Descrizione fisica | 1 online resource (506 pages) |
| Disciplina | 515.724 |
| Collana | Operator Theory: Advances and Applications |
| Soggetto topico |
Operator theory
Matrix theory Algebra Global analysis (Mathematics) Manifolds (Mathematics) System theory Operator Theory Linear and Multilinear Algebras, Matrix Theory Global Analysis and Analysis on Manifolds Systems Theory, Control |
| ISBN | 3-319-75996-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Standard versus strict Bounded Real Lemma with infinite-dimensional state space II: The storage function approach -- Eigenvalues of even very nice Toeplitz matrices can be unexpectedly erratic -- Spectral regularity of a C*-algebra generated by two-dimensional singular integral operators -- A spectral shift function for Schrödinger operators with singular interactions -- Quantum graph with the Dirac operator and resonance states completeness -- Robert Sheckley's Answerer for two orthogonal projections -- Toeplitz kernels and model spaces -- Frames, operator representations, and open problems -- A survey on solvable sesquilinear forms -- An application of limiting interpolation to the Fourier series theory -- Isomorphisms of AC() spaces for countable sets -- Restricted inversion of split-Bezoutians -- Generalized backward shift operators on Z[[x]], Cramer's formulas for solving infinite linear systems, and p-adic integers -- Feynman path integral regularization using Fourier Integral Operator -functions -- Improving Monte Carlo integration by symmetrization -- Pseudodifferential operators with compound non-regular symbols -- More on the density of analytic polynomials in abstract Hardy spaces -- Asymptotically sharp inequalities for polynomials involving mixed Hermite norms -- A two-parameter eigenvalue problem for a class of block-operator matrices -- Finite sections of the Fibonacci Hamiltonian -- Spectral asymptotics for Toeplitz operators and an application to banded matrices -- Beyond fractality: piecewise fractal and quasifractal algebras -- Unbounded operators on Hilbert C*-modules -- A characterization of positive normal functionals on the full operator algebra -- The linearised Korteweg-deVries equation on general metric graphs -- Bounded multiplicative Toeplitz operators on sequence spaces -- On higher index differential-algebraic equations in innite dimensions -- Characterizations of centrality by local convexity of certain functions on C*-algebras -- Double-scaling limits of Toeplitz determinants and Fisher-Hartwig singularities. |
| Record Nr. | UNINA-9910300116403321 |
| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dynamical Systems [[electronic resource] ] : An Introduction / / by Luis Barreira, Claudia Valls
| Dynamical Systems [[electronic resource] ] : An Introduction / / by Luis Barreira, Claudia Valls |
| Autore | Barreira Luis |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | London : , : Springer London : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (213 p.) |
| Disciplina | 515.352 |
| Collana | Universitext |
| Soggetto topico |
Dynamics
Ergodic theory Global analysis (Mathematics) Manifolds (Mathematics) Differential equations Hyperbolic geometry Dynamical Systems and Ergodic Theory Global Analysis and Analysis on Manifolds Ordinary Differential Equations Hyperbolic Geometry |
| ISBN | 1-4471-4835-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Basic Notions and Examples -- Topological Dynamics -- Low-Dimensional Dynamics -- Hyperbolic Dynamics I -- Hyperbolic Dynamics II -- Symbolic Dynamics -- Ergodic Theory. |
| Record Nr. | UNINA-9910438158003321 |
|
Barreira Luis
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| London : , : Springer London : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Dynamics on Lorentz manifolds [[electronic resource] /] / Scot Adams
| Dynamics on Lorentz manifolds [[electronic resource] /] / Scot Adams |
| Autore | Adams Scot |
| Pubbl/distr/stampa | River Edge, N.J., : World Scientific, c2001 |
| Descrizione fisica | 1 online resource (416 p.) |
| Disciplina | 514.3 |
| Soggetto topico |
Manifolds (Mathematics)
Topology |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-95624-4
9786611956240 981-281-056-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Chapter 1 Introduction History and Outline; 1.1 Lorentz manifolds and relativity; 1.2 Symmetries of Lorentz manifolds; 1.3 Outline of succeeding chapters; 1.4 Notation; 1.5 Acknowledgements; Chapter 2 Basic Results and Definitions; 2.1 Some set-theoretic notions; 2.2 Some group-theoretic notions; 2.3 Some topological notions; 2.4 Some notions from linear algebra; 2.5 Matrix concentration lemmas; 2.6 First results on expansive sequences; 2.7 Topological groups; 2.8 Discrete groups; 2.9 Proper actions; 2.10 Bilinear and quadratic forms; 2.11 Root systems
2.12 Minkowski forms - basic definitionsChapter 3 Basic Differential Topology; 3.1 Some differential topological notions; 3.2 Inheritability of continuity and smoothness to leanike submanifolds; 3.3 Definition of prefoliation and foliation; 3.4 Preliminary results to the Frobenius Theorem; 3.5 Uniqueness in the Frobenius Theorem; 3.6 Passage from local to global in the Frobenius Theorem; 3.7 The Frobenius Theorem; 3.8 Potential submersions; 3.9 Lorentz metrics - basic definitions; Chapter 4 Basic Lie Theoretic Results; 4.1 Some Lie theoretic definitions and notation 4.2 Dynamical consequences of the Frobenius Theorem4.3 exp Ad and ad; 4.4 The Lie group Lie algebra correspondence; 4.5 Some facts about Lie subgroups; 4.6 The Lie algebra of [AB]; 4.7 Lie groups and Lie algebras from bilinear and quadratic forms; 4.8 Abelian Lie groups; 4.9 Miscellaneous results; 4.10 Generalities on semisimple groups and algebras; 4.11 Real Jordan decomposition; 4.12 Consequences of results on real Jordan decomposition; 4.13 Generalities on algebraic groups; 4.14 Generalities on nilpotent groups and algebras; 4.15 Generalities on the nilradical 4.16 Relationships between representation theoriesChapter 5 More Lie Theory; 5.1 Connection-preserving diffeomorphisms form a Lie group; 5.2 The isometry group of a pseudoRiemannian manifold is a Lie group; 5.3 More results on expansive sequences; 5.4 Lie groups densely embedded in other Lie groups; 5.5 Generalities on the Levi decomposition; 5.6 Large normalizers and centralizers; 5.7 Representation theory; Chapter 6 Minkowski Linear Algebra; 6.1 Notations for important elements and Lie subalgebras of so(Qd); 6.2 Linear algebra of Minkowski vector spaces; 6.3 Basic calculations 6.4 Embeddings of Lorentz Lie algebrasChapter 7 Basic Dynamical Results; 7.1 Kowalsky's Lemma; 7.2 Higher jets of vector fields and metrics - notation; 7.3 Matrix realizations of jets and calculus on jets; 7.4 Miscellaneous results; 7.5 A basic collection of rigidity results; 7.6 Strongly lightlike and nontimelike vectors; 7.7 Basic results on degenerate orbits; 7.8 More on strongly lightlike and nontimelike vectors; 7.9 Nonproperness and cocompact subgroups; 7.10 Kowalsky subsets; 7.11 Types of chaotic actions; 7.12 Induction of actions: Definition; 7.13 Induction of actions: Basic results 7.14 Riemannian dynamics |
| Record Nr. | UNINA-9910454386103321 |
|
Adams Scot
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| River Edge, N.J., : World Scientific, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dynamics on Lorentz manifolds [[electronic resource] /] / Scot Adams
| Dynamics on Lorentz manifolds [[electronic resource] /] / Scot Adams |
| Autore | Adams Scot |
| Pubbl/distr/stampa | River Edge, N.J., : World Scientific, c2001 |
| Descrizione fisica | 1 online resource (416 p.) |
| Disciplina | 514.3 |
| Soggetto topico |
Manifolds (Mathematics)
Topology |
| ISBN |
1-281-95624-4
9786611956240 981-281-056-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Chapter 1 Introduction History and Outline; 1.1 Lorentz manifolds and relativity; 1.2 Symmetries of Lorentz manifolds; 1.3 Outline of succeeding chapters; 1.4 Notation; 1.5 Acknowledgements; Chapter 2 Basic Results and Definitions; 2.1 Some set-theoretic notions; 2.2 Some group-theoretic notions; 2.3 Some topological notions; 2.4 Some notions from linear algebra; 2.5 Matrix concentration lemmas; 2.6 First results on expansive sequences; 2.7 Topological groups; 2.8 Discrete groups; 2.9 Proper actions; 2.10 Bilinear and quadratic forms; 2.11 Root systems
2.12 Minkowski forms - basic definitionsChapter 3 Basic Differential Topology; 3.1 Some differential topological notions; 3.2 Inheritability of continuity and smoothness to leanike submanifolds; 3.3 Definition of prefoliation and foliation; 3.4 Preliminary results to the Frobenius Theorem; 3.5 Uniqueness in the Frobenius Theorem; 3.6 Passage from local to global in the Frobenius Theorem; 3.7 The Frobenius Theorem; 3.8 Potential submersions; 3.9 Lorentz metrics - basic definitions; Chapter 4 Basic Lie Theoretic Results; 4.1 Some Lie theoretic definitions and notation 4.2 Dynamical consequences of the Frobenius Theorem4.3 exp Ad and ad; 4.4 The Lie group Lie algebra correspondence; 4.5 Some facts about Lie subgroups; 4.6 The Lie algebra of [AB]; 4.7 Lie groups and Lie algebras from bilinear and quadratic forms; 4.8 Abelian Lie groups; 4.9 Miscellaneous results; 4.10 Generalities on semisimple groups and algebras; 4.11 Real Jordan decomposition; 4.12 Consequences of results on real Jordan decomposition; 4.13 Generalities on algebraic groups; 4.14 Generalities on nilpotent groups and algebras; 4.15 Generalities on the nilradical 4.16 Relationships between representation theoriesChapter 5 More Lie Theory; 5.1 Connection-preserving diffeomorphisms form a Lie group; 5.2 The isometry group of a pseudoRiemannian manifold is a Lie group; 5.3 More results on expansive sequences; 5.4 Lie groups densely embedded in other Lie groups; 5.5 Generalities on the Levi decomposition; 5.6 Large normalizers and centralizers; 5.7 Representation theory; Chapter 6 Minkowski Linear Algebra; 6.1 Notations for important elements and Lie subalgebras of so(Qd); 6.2 Linear algebra of Minkowski vector spaces; 6.3 Basic calculations 6.4 Embeddings of Lorentz Lie algebrasChapter 7 Basic Dynamical Results; 7.1 Kowalsky's Lemma; 7.2 Higher jets of vector fields and metrics - notation; 7.3 Matrix realizations of jets and calculus on jets; 7.4 Miscellaneous results; 7.5 A basic collection of rigidity results; 7.6 Strongly lightlike and nontimelike vectors; 7.7 Basic results on degenerate orbits; 7.8 More on strongly lightlike and nontimelike vectors; 7.9 Nonproperness and cocompact subgroups; 7.10 Kowalsky subsets; 7.11 Types of chaotic actions; 7.12 Induction of actions: Definition; 7.13 Induction of actions: Basic results 7.14 Riemannian dynamics |
| Record Nr. | UNINA-9910782389203321 |
|
Adams Scot
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| River Edge, N.J., : World Scientific, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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