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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
Differential Geometry and Mathematical Physics [[electronic resource] ] : Part II. Fibre Bundles, Topology and Gauge Fields / / by Gerd Rudolph, Matthias Schmidt |
Autore | Rudolph Gerd |
Edizione | [1st ed. 2017.] |
Pubbl/distr/stampa | Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2017 |
Descrizione fisica | 1 online resource (XVI, 830 p. 15 illus., 2 illus. in color.) |
Disciplina | 530.15 |
Collana | Theoretical and Mathematical Physics |
Soggetto topico |
Physics
Differential geometry Mathematical physics Algebraic geometry Algebraic topology Elementary particles (Physics) Quantum field theory Mathematical Methods in Physics Differential Geometry Mathematical Physics Algebraic Geometry Algebraic Topology Elementary Particles, Quantum Field Theory |
ISBN | 94-024-0959-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Fibre bundles and connections -- Linear connections and Riemannian geometry -- Homotopy theory of principal fibre bundles. Classification -- Cohomology theory of fibre bundles. Characteristic classes -- Clifford algebras, spin structures and Dirac operators -- The Yang-Mills equation -- Matter fields and model building -- The gauge orbit space -- Elements of quantum gauge theory -- A Field restriction and field extension -- B The Conformal Group of the 4-sphere -- C Simple Lie algebras. Root diagrams -- D z -function regularization -- E K-theory and index bundles -- F Determinant line bundles -- G Eilenberg-MacLane spaces -- References. Index. |
Record Nr. | UNINA-9910736978703321 |
Rudolph Gerd | ||
Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2017 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Directed Algebraic Topology and Concurrency [[electronic resource] /] / by Lisbeth Fajstrup, Eric Goubault, Emmanuel Haucourt, Samuel Mimram, Martin Raussen |
Autore | Fajstrup Lisbeth |
Edizione | [1st ed. 2016.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
Descrizione fisica | 1 online resource (171 p.) |
Disciplina | 004 |
Soggetto topico |
Computer science—Mathematics
Algebraic topology Mathematical logic Computational complexity Computers Computer mathematics Math Applications in Computer Science Algebraic Topology Mathematical Logic and Formal Languages Complexity Computation by Abstract Devices Mathematical Applications in Computer Science |
ISBN | 3-319-15398-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Introduction -- 2 A toy language for concurrency -- 3 Truly concurrent models of programs with resources -- 4 Directed topological models of concurrency -- 5 Algorithmics on directed spaces.\\. |
Record Nr. | UNINA-9910254995903321 |
Fajstrup Lisbeth | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Elastic/Plastic Discs Under Plane Stress Conditions [[electronic resource] /] / by Sergey Alexandrov |
Autore | Alexandrov Sergey |
Edizione | [1st ed. 2015.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
Descrizione fisica | 1 online resource (122 p.) |
Disciplina |
514.2
620 620.1 620.11 |
Collana | SpringerBriefs in Computational Mechanics |
Soggetto topico |
Mechanics
Mechanics, Applied Materials science Algebraic topology Solid Mechanics Characterization and Evaluation of Materials Algebraic Topology |
ISBN | 3-319-14580-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Axisymmetric Thermo-Elastic-Plastic Problem Under Plane Stress Conditions -- 2 Mechanical Loading -- 3 Thermal Loading. |
Record Nr. | UNINA-9910299817103321 |
Alexandrov Sergey | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Equivariant Cohomology and Localization of Path Integrals [[electronic resource] /] / by Richard J. Szabo |
Autore | Szabo Richard J |
Edizione | [1st ed. 2000.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000 |
Descrizione fisica | 1 online resource (XI, 315 p.) |
Disciplina | 514.23 |
Collana | Lecture Notes in Physics Monographs |
Soggetto topico |
Elementary particles (Physics)
Quantum field theory Algebraic topology Nuclear physics Physics Topology Global analysis (Mathematics) Manifolds (Mathematics) Elementary Particles, Quantum Field Theory Algebraic Topology Particle and Nuclear Physics Mathematical Methods in Physics Global Analysis and Analysis on Manifolds |
ISBN | 3-540-46550-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Equivariant Cohomology and the Localization Principle -- Finite-Dimensional Localization Theory for Dynamical Systems -- Quantum Localization Theory for Phase Space Path Integrals -- Equivariant Localization on Simply Connected Phase Spaces: Applications to Quantum Mechanics, Group Theory and Spin Systems -- Equivariant Localization on Multiply Connected Phase Spaces: Applications to Homology and Modular Representations -- Beyond the Semi-Classical Approximation -- Equivariant Localization in Cohomological Field Theory -- Appendix A: BRST Quantization -- Appendix B: Other Models of Equivariant Cohomology. |
Record Nr. | UNINA-9910257427803321 |
Szabo Richard J | ||
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|