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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 Geometry and Mathematical Physics [[electronic resource] ] : Part II. Fibre Bundles, Topology and Gauge Fields / / by Gerd Rudolph, Matthias Schmidt
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
Opac: Controlla la disponibilità qui
Directed Algebraic Topology and Concurrency [[electronic resource] /] / by Lisbeth Fajstrup, Eric Goubault, Emmanuel Haucourt, Samuel Mimram, Martin Raussen
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
Opac: Controlla la disponibilità qui
Elastic/Plastic Discs Under Plane Stress Conditions [[electronic resource] /] / by Sergey Alexandrov
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
Opac: Controlla la disponibilità qui
Equivariant Cohomology and Localization of Path Integrals [[electronic resource] /] / by Richard J. Szabo
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
Opac: Controlla la disponibilità qui