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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
Frobenius distributions in GLb2s-extensions : distribution of Frobenius automorphisms in GLb2s-extensions of the rational numbers / / Serge Lang, Hale Trotter
Frobenius distributions in GLb2s-extensions : distribution of Frobenius automorphisms in GLb2s-extensions of the rational numbers / / Serge Lang, Hale Trotter
Autore Lang Serge
Edizione [1st ed. 1976.]
Pubbl/distr/stampa Berlin ; ; Heidelberg : , : Springer-Verlag, , [1976]
Descrizione fisica 1 online resource (IV, 280 p.)
Disciplina 512.76
Collana Lecture Notes in Mathematics
Soggetto topico Probabilistic number theory
Galois theory
ISBN 3-540-38094-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Supersingular and fixed trace distribution -- Imaginary quadratic distribution -- Special computations -- Numerical results.
Record Nr. UNISA-996466476503316
Lang Serge  
Berlin ; ; Heidelberg : , : Springer-Verlag, , [1976]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Real and Functional Analysis [[electronic resource] /] / by Serge Lang
Real and Functional Analysis [[electronic resource] /] / by Serge Lang
Autore Lang Serge
Edizione [3rd ed. 1993.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1993
Descrizione fisica 1 online resource (XIV, 580 p.)
Disciplina 515
Collana Graduate Texts in Mathematics
Soggetto topico Mathematical analysis
Analysis (Mathematics)
Functions of real variables
Analysis
Real Functions
ISBN 1-4612-0897-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto I Sets -- II Topological Spaces -- III Continuous Functions on Compact Sets -- IV Banach Spaces -- V Hilbert Space -- VI The General Integral -- VII Duality and Representation Theorems -- VIII Some Applications of Integration -- IX Integration and Measures on Locally Compact Spaces -- X Riemann-Stieltjes Integral and Measure -- XI Distributions -- XII Integration on Locally Compact Groups -- XIII Differential Calculus -- XIV Inverse Mappings and Differential Equations -- XV The Open Mapping Theorem, Factor Spaces, and Duality -- XVI The Spectrum -- XVII Compact and Fredholm Operators -- XVIII Spectral Theorem for Bounded Hermltian Operators -- XIX Further Spectral Theorems -- XX Spectral Measures -- XXI Local Integration off Differential Forms -- XXII Manifolds -- XXIII Integration and Measures on Manifolds -- Table of Notation.
Record Nr. UNINA-9910480137703321
Lang Serge  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1993
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Real and Functional Analysis [[electronic resource] /] / by Serge Lang
Real and Functional Analysis [[electronic resource] /] / by Serge Lang
Autore Lang Serge
Edizione [3rd ed. 1993.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1993
Descrizione fisica 1 online resource (XIV, 580 p.)
Disciplina 515
Altri autori (Persone) LangSerge <1927-2005.>
Collana Graduate Texts in Mathematics
Soggetto topico Mathematical analysis
Analysis (Mathematics)
Functions of real variables
Analysis
Real Functions
ISBN 1-4612-0897-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto I Sets -- II Topological Spaces -- III Continuous Functions on Compact Sets -- IV Banach Spaces -- V Hilbert Space -- VI The General Integral -- VII Duality and Representation Theorems -- VIII Some Applications of Integration -- IX Integration and Measures on Locally Compact Spaces -- X Riemann-Stieltjes Integral and Measure -- XI Distributions -- XII Integration on Locally Compact Groups -- XIII Differential Calculus -- XIV Inverse Mappings and Differential Equations -- XV The Open Mapping Theorem, Factor Spaces, and Duality -- XVI The Spectrum -- XVII Compact and Fredholm Operators -- XVIII Spectral Theorem for Bounded Hermltian Operators -- XIX Further Spectral Theorems -- XX Spectral Measures -- XXI Local Integration off Differential Forms -- XXII Manifolds -- XXIII Integration and Measures on Manifolds -- Table of Notation.
Record Nr. UNINA-9910789341203321
Lang Serge  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1993
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Real and Functional Analysis [[electronic resource] /] / by Serge Lang
Real and Functional Analysis [[electronic resource] /] / by Serge Lang
Autore Lang Serge
Edizione [3rd ed. 1993.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1993
Descrizione fisica 1 online resource (XIV, 580 p.)
Disciplina 515
Altri autori (Persone) LangSerge <1927-2005.>
Collana Graduate Texts in Mathematics
Soggetto topico Mathematical analysis
Analysis (Mathematics)
Functions of real variables
Analysis
Real Functions
ISBN 1-4612-0897-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto I Sets -- II Topological Spaces -- III Continuous Functions on Compact Sets -- IV Banach Spaces -- V Hilbert Space -- VI The General Integral -- VII Duality and Representation Theorems -- VIII Some Applications of Integration -- IX Integration and Measures on Locally Compact Spaces -- X Riemann-Stieltjes Integral and Measure -- XI Distributions -- XII Integration on Locally Compact Groups -- XIII Differential Calculus -- XIV Inverse Mappings and Differential Equations -- XV The Open Mapping Theorem, Factor Spaces, and Duality -- XVI The Spectrum -- XVII Compact and Fredholm Operators -- XVIII Spectral Theorem for Bounded Hermltian Operators -- XIX Further Spectral Theorems -- XX Spectral Measures -- XXI Local Integration off Differential Forms -- XXII Manifolds -- XXIII Integration and Measures on Manifolds -- Table of Notation.
Record Nr. UNINA-9910828774703321
Lang Serge  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1993
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Undergraduate Algebra [[electronic resource] /] / by Serge Lang
Undergraduate Algebra [[electronic resource] /] / by Serge Lang
Autore Lang Serge
Edizione [2nd ed. 1990.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1990
Descrizione fisica 1 online resource (XI, 371 p.)
Disciplina 512
Collana Undergraduate Texts in Mathematics
Soggetto topico Algebra
ISBN 1-4757-6898-2
Classificazione 13-01
15-01
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto I The Integers -- II Groups -- III Rings -- IV Polynomials -- V Vector Spaces and Modules -- VI Some Linear Groups -- VII Field Theory -- VIII Finite Fields -- IX The Real and Complex Numbers -- X Sets -- §1. The Natural Numbers -- §2. The Integers -- §3. Infinite Sets.
Record Nr. UNINA-9910480199603321
Lang Serge  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1990
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Undergraduate Algebra [[electronic resource] /] / by Serge Lang
Undergraduate Algebra [[electronic resource] /] / by Serge Lang
Autore Lang Serge
Edizione [2nd ed. 1990.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1990
Descrizione fisica 1 online resource (XI, 371 p.)
Disciplina 512
Collana Undergraduate Texts in Mathematics
Soggetto topico Algebra
ISBN 1-4757-6898-2
Classificazione 13-01
15-01
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto I The Integers -- II Groups -- III Rings -- IV Polynomials -- V Vector Spaces and Modules -- VI Some Linear Groups -- VII Field Theory -- VIII Finite Fields -- IX The Real and Complex Numbers -- X Sets -- §1. The Natural Numbers -- §2. The Integers -- §3. Infinite Sets.
Record Nr. UNINA-9910792489003321
Lang Serge  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1990
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Undergraduate Algebra / / by Serge Lang
Undergraduate Algebra / / by Serge Lang
Autore Lang Serge
Edizione [2nd ed. 1990.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1990
Descrizione fisica 1 online resource (XI, 371 p.)
Disciplina 512
Collana Undergraduate Texts in Mathematics
Soggetto topico Algebra
ISBN 1-4757-6898-2
Classificazione 13-01
15-01
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto I The Integers -- II Groups -- III Rings -- IV Polynomials -- V Vector Spaces and Modules -- VI Some Linear Groups -- VII Field Theory -- VIII Finite Fields -- IX The Real and Complex Numbers -- X Sets -- §1. The Natural Numbers -- §2. The Integers -- §3. Infinite Sets.
Record Nr. UNINA-9910821727603321
Lang Serge  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1990
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui