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Differentiable Manifolds [[electronic resource] ] : A Theoretical Physics Approach / / by Gerardo F. Torres del Castillo
Differentiable Manifolds [[electronic resource] ] : A Theoretical Physics Approach / / by Gerardo F. Torres del Castillo
Autore Torres del Castillo Gerardo F
Edizione [2nd ed. 2020.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2020
Descrizione fisica 1 online resource (447 pages)
Disciplina 516.36
Soggetto topico Differential geometry
Physics
Topological groups
Lie groups
Mechanics
Differential Geometry
Mathematical Methods in Physics
Topological Groups, Lie Groups
Classical Mechanics
ISBN 3-030-45193-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Manifolds -- 2 Lie Derivatives -- 3 Differential Forms -- 4 Integral Manifolds -- 5 Connections -- 6. Riemannian Manifolds -- 7 Lie Groups -- 8 Hamiltonian Classical Mechanics -- Solutions -- References -- Index.
Record Nr. UNISA-996418198203316
Torres del Castillo Gerardo F  
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2020
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Differential and Complex Geometry: Origins, Abstractions and Embeddings [[electronic resource] /] / by Raymond O. Wells, Jr
Differential and Complex Geometry: Origins, Abstractions and Embeddings [[electronic resource] /] / by Raymond O. Wells, Jr
Autore Wells Jr., Raymond O
Edizione [1st ed. 2017.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Descrizione fisica 1 online resource (319 pages) : illustrations (some color)
Disciplina 516.36
Soggetto topico Differential geometry
Global analysis (Mathematics)
Manifolds (Mathematics)
Functions of complex variables
Projective geometry
Algebraic topology
Differential Geometry
Global Analysis and Analysis on Manifolds
Several Complex Variables and Analytic Spaces
Projective Geometry
Algebraic Topology
ISBN 3-319-58184-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction -- Part I. Geometry in the Age of Enlightenment -- Algebraic Geometry -- Differential Geometry -- Part II. Differential and Projective Geometry in the Nineteenth Century -- Projective Geometry -- Gauss and Intrinsic Differential Geometry -- Riemann's Higher-Dimensional Geometry -- Part III. Origins of Complex Geometry -- The Complex Plane -- Elliptic and Abelian Integrals -- Elliptic Functions -- Complex Analysis -- Riemann Surfaces -- Complex Geometry at the End of the Nineteenth Century -- Part IV. Twentieth-Century Embedding Theorems -- Differentiable Manifolds -- Riemannian Manifolds -- Compact Complex Manifolds -- Noncompact Complex Manifolds.
Record Nr. UNINA-9910254300303321
Wells Jr., Raymond O  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Differential and Riemannian Manifolds [[electronic resource] /] / by Serge Lang
Differential and Riemannian Manifolds [[electronic resource] /] / by Serge Lang
Autore Lang Serge
Edizione [3rd ed. 1995.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1995
Descrizione fisica 1 online resource (XIV, 364 p.)
Disciplina 516.36
Collana Graduate Texts in Mathematics
Soggetto topico Differential geometry
Mathematical analysis
Analysis (Mathematics)
Algebraic topology
Differential Geometry
Analysis
Algebraic Topology
ISBN 1-4612-4182-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto I Differential Calculus -- §1. Categories -- §2. Topological Vector Spaces -- §3. Derivatives and Composition of Maps -- §4. Integration and Taylor’s Formula -- §5. The Inverse Mapping Theorem -- II Manifolds -- §1. Atlases, Charts, Morphisms -- §2. Submanifolds, Immersions, Submersions -- §3. Partitions of Unity -- §4. Manifolds with Boundary -- III Vector Bundles -- §1. Definition, Pull Backs -- §2. The Tangent Bundle -- §3. Exact Sequences of Bundles -- §4. Operations on Vector Bundles -- §5. Splitting of Vector Bundles -- IV Vector Fields and Differential Equations -- §1. Existence Theorem for Differential Equations -- §2. Vector Fields, Curves, and Flows -- §3. Sprays -- §4. The Flow of a Spray and the Exponential Map -- §5. Existence of Tubular Neighborhoods -- §6. Uniqueness of Tubular Neighborhoods -- V Operations on Vector Fields and Differential Forms -- §1. Vector Fields, Differential Operators, Brackets -- §2. Lie Derivative -- $3. Exterior Derivative -- §4. The Poincaré Lemma -- §5. Contractions and Lie Derivative -- §6. Vector Fields and 1-Forms Under Self Duality -- §7. The Canonical 2-Form -- §8. Darboux’s Theorem -- VI The Theorem of Frobenius -- §1. Statement of the Theorem -- §2. Differential Equations Depending on a Parameter -- §3. Proof of the Theorem -- §4. The Global Formulation -- §5. Lie Groups and Subgroups -- VII Metrics -- §1. Definition and Functoriality -- §2. The Hilbert Group -- §3. Reduction to the Hilbert Group -- §4. Hilbertian Tubular Neighborhoods -- §5. The Morse—Palais Lemma -- §6. The Riemannian Distance -- §7. The Canonical Spray -- VIII Covariant Derivatives and Geodesics -- §1. Basic Properties -- §2. Sprays and Covariant Derivatives -- §3. Derivative Along a Curve and Parallelism -- §4. The Metric Derivative -- §5. More Local Results on the Exponential Map -- §6. Riemannian Geodesic Length and Completeness -- IX Curvature -- §1. The Riemann Tensor -- §2. Jacobi Lifts -- §3. Application of Jacobi Lifts to dexpx -- §4. The Index Form, Variations, and the Second Variation Formula -- §5. Taylor Expansions -- X Volume Forms -- §1. The Riemannian Volume Form -- §2. Covariant Derivatives -- §3. The Jacobian Determinant of the Exponential Map -- §4. The Hodge Star on Forms -- §5. Hodge Decomposition of Differential Forms -- XI Integration of Differential Forms -- §1. Sets of Measure 0 -- §2. Change of Variables Formula -- §3. Orientation -- §4. The Measure Associated with a Differential Form -- XII Stokes’ Theorem -- §1. Stokes’ Theorem for a Rectangular Simplex -- §2. Stokes’ Theorem on a Manifold -- §3. Stokes’ Theorem with Singularities -- XIII Applications of Stokes’ Theorem -- §1. The Maximal de Rham Cohomology -- §2. Moser’s Theorem -- §3. The Divergence Theorem -- §4. The Adjoint of d for Higher Degree Forms -- §5. Cauchy’s Theorem -- §6. The Residue Theorem -- Appendix The Spectral Theorem -- §1. Hilbert Space -- §2. Functionals and Operators -- §3. Hermitian Operators.
Record Nr. UNINA-9910480453003321
Lang Serge  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1995
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Differential and Riemannian Manifolds [[electronic resource] /] / by Serge Lang
Differential and Riemannian Manifolds [[electronic resource] /] / by Serge Lang
Autore Lang Serge
Edizione [3rd ed. 1995.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1995
Descrizione fisica 1 online resource (XIV, 364 p.)
Disciplina 516.36
Altri autori (Persone) LangSerge <1927-2005.>
Collana Graduate Texts in Mathematics
Soggetto topico Differential geometry
Mathematical analysis
Analysis (Mathematics)
Algebraic topology
Differential Geometry
Analysis
Algebraic Topology
ISBN 1-4612-4182-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto I Differential Calculus -- §1. Categories -- §2. Topological Vector Spaces -- §3. Derivatives and Composition of Maps -- §4. Integration and Taylor’s Formula -- §5. The Inverse Mapping Theorem -- II Manifolds -- §1. Atlases, Charts, Morphisms -- §2. Submanifolds, Immersions, Submersions -- §3. Partitions of Unity -- §4. Manifolds with Boundary -- III Vector Bundles -- §1. Definition, Pull Backs -- §2. The Tangent Bundle -- §3. Exact Sequences of Bundles -- §4. Operations on Vector Bundles -- §5. Splitting of Vector Bundles -- IV Vector Fields and Differential Equations -- §1. Existence Theorem for Differential Equations -- §2. Vector Fields, Curves, and Flows -- §3. Sprays -- §4. The Flow of a Spray and the Exponential Map -- §5. Existence of Tubular Neighborhoods -- §6. Uniqueness of Tubular Neighborhoods -- V Operations on Vector Fields and Differential Forms -- §1. Vector Fields, Differential Operators, Brackets -- §2. Lie Derivative -- $3. Exterior Derivative -- §4. The Poincaré Lemma -- §5. Contractions and Lie Derivative -- §6. Vector Fields and 1-Forms Under Self Duality -- §7. The Canonical 2-Form -- §8. Darboux’s Theorem -- VI The Theorem of Frobenius -- §1. Statement of the Theorem -- §2. Differential Equations Depending on a Parameter -- §3. Proof of the Theorem -- §4. The Global Formulation -- §5. Lie Groups and Subgroups -- VII Metrics -- §1. Definition and Functoriality -- §2. The Hilbert Group -- §3. Reduction to the Hilbert Group -- §4. Hilbertian Tubular Neighborhoods -- §5. The Morse—Palais Lemma -- §6. The Riemannian Distance -- §7. The Canonical Spray -- VIII Covariant Derivatives and Geodesics -- §1. Basic Properties -- §2. Sprays and Covariant Derivatives -- §3. Derivative Along a Curve and Parallelism -- §4. The Metric Derivative -- §5. More Local Results on the Exponential Map -- §6. Riemannian Geodesic Length and Completeness -- IX Curvature -- §1. The Riemann Tensor -- §2. Jacobi Lifts -- §3. Application of Jacobi Lifts to dexpx -- §4. The Index Form, Variations, and the Second Variation Formula -- §5. Taylor Expansions -- X Volume Forms -- §1. The Riemannian Volume Form -- §2. Covariant Derivatives -- §3. The Jacobian Determinant of the Exponential Map -- §4. The Hodge Star on Forms -- §5. Hodge Decomposition of Differential Forms -- XI Integration of Differential Forms -- §1. Sets of Measure 0 -- §2. Change of Variables Formula -- §3. Orientation -- §4. The Measure Associated with a Differential Form -- XII Stokes’ Theorem -- §1. Stokes’ Theorem for a Rectangular Simplex -- §2. Stokes’ Theorem on a Manifold -- §3. Stokes’ Theorem with Singularities -- XIII Applications of Stokes’ Theorem -- §1. The Maximal de Rham Cohomology -- §2. Moser’s Theorem -- §3. The Divergence Theorem -- §4. The Adjoint of d for Higher Degree Forms -- §5. Cauchy’s Theorem -- §6. The Residue Theorem -- Appendix The Spectral Theorem -- §1. Hilbert Space -- §2. Functionals and Operators -- §3. Hermitian Operators.
Record Nr. UNINA-9910789224303321
Lang Serge  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1995
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Differential and Riemannian Manifolds [[electronic resource] /] / by Serge Lang
Differential and Riemannian Manifolds [[electronic resource] /] / by Serge Lang
Autore Lang Serge
Edizione [3rd ed. 1995.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1995
Descrizione fisica 1 online resource (XIV, 364 p.)
Disciplina 516.36
Altri autori (Persone) LangSerge <1927-2005.>
Collana Graduate Texts in Mathematics
Soggetto topico Differential geometry
Mathematical analysis
Analysis (Mathematics)
Algebraic topology
Differential Geometry
Analysis
Algebraic Topology
ISBN 1-4612-4182-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto I Differential Calculus -- §1. Categories -- §2. Topological Vector Spaces -- §3. Derivatives and Composition of Maps -- §4. Integration and Taylor’s Formula -- §5. The Inverse Mapping Theorem -- II Manifolds -- §1. Atlases, Charts, Morphisms -- §2. Submanifolds, Immersions, Submersions -- §3. Partitions of Unity -- §4. Manifolds with Boundary -- III Vector Bundles -- §1. Definition, Pull Backs -- §2. The Tangent Bundle -- §3. Exact Sequences of Bundles -- §4. Operations on Vector Bundles -- §5. Splitting of Vector Bundles -- IV Vector Fields and Differential Equations -- §1. Existence Theorem for Differential Equations -- §2. Vector Fields, Curves, and Flows -- §3. Sprays -- §4. The Flow of a Spray and the Exponential Map -- §5. Existence of Tubular Neighborhoods -- §6. Uniqueness of Tubular Neighborhoods -- V Operations on Vector Fields and Differential Forms -- §1. Vector Fields, Differential Operators, Brackets -- §2. Lie Derivative -- $3. Exterior Derivative -- §4. The Poincaré Lemma -- §5. Contractions and Lie Derivative -- §6. Vector Fields and 1-Forms Under Self Duality -- §7. The Canonical 2-Form -- §8. Darboux’s Theorem -- VI The Theorem of Frobenius -- §1. Statement of the Theorem -- §2. Differential Equations Depending on a Parameter -- §3. Proof of the Theorem -- §4. The Global Formulation -- §5. Lie Groups and Subgroups -- VII Metrics -- §1. Definition and Functoriality -- §2. The Hilbert Group -- §3. Reduction to the Hilbert Group -- §4. Hilbertian Tubular Neighborhoods -- §5. The Morse—Palais Lemma -- §6. The Riemannian Distance -- §7. The Canonical Spray -- VIII Covariant Derivatives and Geodesics -- §1. Basic Properties -- §2. Sprays and Covariant Derivatives -- §3. Derivative Along a Curve and Parallelism -- §4. The Metric Derivative -- §5. More Local Results on the Exponential Map -- §6. Riemannian Geodesic Length and Completeness -- IX Curvature -- §1. The Riemann Tensor -- §2. Jacobi Lifts -- §3. Application of Jacobi Lifts to dexpx -- §4. The Index Form, Variations, and the Second Variation Formula -- §5. Taylor Expansions -- X Volume Forms -- §1. The Riemannian Volume Form -- §2. Covariant Derivatives -- §3. The Jacobian Determinant of the Exponential Map -- §4. The Hodge Star on Forms -- §5. Hodge Decomposition of Differential Forms -- XI Integration of Differential Forms -- §1. Sets of Measure 0 -- §2. Change of Variables Formula -- §3. Orientation -- §4. The Measure Associated with a Differential Form -- XII Stokes’ Theorem -- §1. Stokes’ Theorem for a Rectangular Simplex -- §2. Stokes’ Theorem on a Manifold -- §3. Stokes’ Theorem with Singularities -- XIII Applications of Stokes’ Theorem -- §1. The Maximal de Rham Cohomology -- §2. Moser’s Theorem -- §3. The Divergence Theorem -- §4. The Adjoint of d for Higher Degree Forms -- §5. Cauchy’s Theorem -- §6. The Residue Theorem -- Appendix The Spectral Theorem -- §1. Hilbert Space -- §2. Functionals and Operators -- §3. Hermitian Operators.
Record Nr. UNINA-9910828781003321
Lang Serge  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1995
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Differential Characters [[electronic resource] /] / by Christian Bär, Christian Becker
Differential Characters [[electronic resource] /] / by Christian Bär, Christian Becker
Autore Bär Christian
Edizione [1st ed. 2014.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014
Descrizione fisica 1 online resource (VIII, 187 p.)
Disciplina 516.36
Collana Lecture Notes in Mathematics
Soggetto topico Differential geometry
Algebraic topology
Differential Geometry
Algebraic Topology
ISBN 3-319-07034-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Differential Characters and Geometric Chains -- Relative differential Cohomology -- Index.
Record Nr. UNINA-9910300147903321
Bär Christian  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Differential Characters [[electronic resource] /] / by Christian Bär, Christian Becker
Differential Characters [[electronic resource] /] / by Christian Bär, Christian Becker
Autore Bär Christian
Edizione [1st ed. 2014.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014
Descrizione fisica 1 online resource (VIII, 187 p.)
Disciplina 516.36
Collana Lecture Notes in Mathematics
Soggetto topico Differential geometry
Algebraic topology
Differential Geometry
Algebraic Topology
ISBN 3-319-07034-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Differential Characters and Geometric Chains -- Relative differential Cohomology -- Index.
Record Nr. UNISA-996213732103316
Bär Christian  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Differential Forms and Applications [[electronic resource] /] / by Manfredo P. Do Carmo
Differential Forms and Applications [[electronic resource] /] / by Manfredo P. Do Carmo
Autore Do Carmo Manfredo P
Edizione [1st ed. 1994.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1994
Descrizione fisica 1 online resource (X, 118 p.)
Disciplina 515/.37
Collana Universitext
Soggetto topico Differential geometry
Mathematical analysis
Analysis (Mathematics)
Mathematical physics
Physics
Differential Geometry
Analysis
Theoretical, Mathematical and Computational Physics
Mathematical Methods in Physics
Numerical and Computational Physics, Simulation
ISBN 3-642-57951-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Differential Forms in Rn -- 2. Line Integrals -- 3. Differentiable Manifolds -- 4. Integration on Manifolds; Stokes Theorem and Poincaré’s Lemma -- 1. Integration of Differential Forms -- 2. Stokes Theorem -- 3. Poincaré’s Lemma -- 5. Differential Geometry of Surfaces -- 1. The Structure Equations of Rn -- 2. Surfaces in R3 -- 3. Intrinsic Geometry of Surfaces -- 6. The Theorem of Gauss-Bonnet and the Theorem of Morse -- 1. The Theorem of Gauss-Bonnet -- 2. The Theorem of Morse -- References.
Record Nr. UNINA-9910480715803321
Do Carmo Manfredo P  
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1994
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Differential Forms and Applications [[electronic resource] /] / by Manfredo P. Do Carmo
Differential Forms and Applications [[electronic resource] /] / by Manfredo P. Do Carmo
Autore Do Carmo Manfredo P
Edizione [1st ed. 1994.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1994
Descrizione fisica 1 online resource (X, 118 p.)
Disciplina 515/.37
Collana Universitext
Soggetto topico Differential geometry
Mathematical analysis
Analysis (Mathematics)
Mathematical physics
Physics
Differential Geometry
Analysis
Theoretical, Mathematical and Computational Physics
Mathematical Methods in Physics
Numerical and Computational Physics, Simulation
ISBN 3-642-57951-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Differential Forms in Rn -- 2. Line Integrals -- 3. Differentiable Manifolds -- 4. Integration on Manifolds; Stokes Theorem and Poincaré’s Lemma -- 1. Integration of Differential Forms -- 2. Stokes Theorem -- 3. Poincaré’s Lemma -- 5. Differential Geometry of Surfaces -- 1. The Structure Equations of Rn -- 2. Surfaces in R3 -- 3. Intrinsic Geometry of Surfaces -- 6. The Theorem of Gauss-Bonnet and the Theorem of Morse -- 1. The Theorem of Gauss-Bonnet -- 2. The Theorem of Morse -- References.
Record Nr. UNINA-9910789213403321
Do Carmo Manfredo P  
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1994
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Differential Forms and Applications [[electronic resource] /] / by Manfredo P. Do Carmo
Differential Forms and Applications [[electronic resource] /] / by Manfredo P. Do Carmo
Autore Do Carmo Manfredo P
Edizione [1st ed. 1994.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1994
Descrizione fisica 1 online resource (X, 118 p.)
Disciplina 515/.37
Collana Universitext
Soggetto topico Differential geometry
Mathematical analysis
Analysis (Mathematics)
Mathematical physics
Physics
Differential Geometry
Analysis
Theoretical, Mathematical and Computational Physics
Mathematical Methods in Physics
Numerical and Computational Physics, Simulation
ISBN 3-642-57951-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Differential Forms in Rn -- 2. Line Integrals -- 3. Differentiable Manifolds -- 4. Integration on Manifolds; Stokes Theorem and Poincaré’s Lemma -- 1. Integration of Differential Forms -- 2. Stokes Theorem -- 3. Poincaré’s Lemma -- 5. Differential Geometry of Surfaces -- 1. The Structure Equations of Rn -- 2. Surfaces in R3 -- 3. Intrinsic Geometry of Surfaces -- 6. The Theorem of Gauss-Bonnet and the Theorem of Morse -- 1. The Theorem of Gauss-Bonnet -- 2. The Theorem of Morse -- References.
Record Nr. UNINA-9910828274203321
Do Carmo Manfredo P  
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1994
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui

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