Data Portal @ linkeddatafragments.org

Matches in Harvard for { <http://id.lib.harvard.edu/aleph/005033312/catalog> ?p ?o. }

• catalog abstract "This text provides an introduction to basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas: for instance, the existence, uniqueness, and smoothness theorems for differential equations and the flow of a vector field; the basic theory of vector bundles including the existence of tubular neighborhoods for a submanifold; the calculus of differential forms; basic notions of symplectic manifolds, including the canonical 2-form; sprays and covariant derivatives for Riemannian and pseudo-Riemannian manifolds; applications to the exponential map, including the Cartan-Hadamard theorem, and the first basic theorem of calculus of variations. These are all covered for infinite-dimensional manifolds, modeled on Banach and Hilbert spaces, at no cost in complications, and some gain in the elegance of the proofs. In the finite-dimensional case, differential forms of top degree are discussed, leading to Stokes' theorem (even for manifolds with singular boundary), and several of its applications to the differential or Riemannian case.".
• catalog contributor b7114928.
• catalog contributor b7114929.
• catalog created "1995.".
• catalog date "1995".
• catalog date "1995.".
• catalog dateCopyrighted "1995.".
• catalog description "Ch. I. Differential Calculus -- Ch. II. Manifolds -- Ch. III. Vector Bundles -- Ch. IV. Vector Fields and Differential Equations -- Ch. V. Operations on Vector Fields and Differential Forms -- Ch. VI. The Theorem of Frobenius -- Ch. VII. Metrics -- Ch. VIII. Covariant Derivatives and Geodesics -- Ch. IX. Curvature -- Ch. X. Volume Forms -- Ch. XI. Integration of Differential Forms -- Ch. XII. Stokes' Theorem -- Ch. XIII. Applications of Stokes' Theorem -- Appendix: The Spectral Theorem.".
• catalog description "In the finite-dimensional case, differential forms of top degree are discussed, leading to Stokes' theorem (even for manifolds with singular boundary), and several of its applications to the differential or Riemannian case.".
• catalog description "Includes bibliographical references (p. [355]-360) and index.".
• catalog description "This text provides an introduction to basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas: for instance, the existence, uniqueness, and smoothness theorems for differential equations and the flow of a vector field; the basic theory of vector bundles including the existence of tubular neighborhoods for a submanifold; the calculus of differential forms; basic notions of symplectic manifolds, including the canonical 2-form; sprays and covariant derivatives for Riemannian and pseudo-Riemannian manifolds; applications to the exponential map, including the Cartan-Hadamard theorem, and the first basic theorem of calculus of variations. These are all covered for infinite-dimensional manifolds, modeled on Banach and Hilbert spaces, at no cost in complications, and some gain in the elegance of the proofs.".
• catalog extent "xiii, 364 p. :".
• catalog hasFormat "Differential and Riemannian manifolds.".
• catalog identifier "0387943382 (New York : acid-free)".
• catalog identifier "3540943382 (Berlin : acid-free)".
• catalog isFormatOf "Differential and Riemannian manifolds.".
• catalog isPartOf "Graduate texts in mathematics 160".
• catalog issued "1995".
• catalog issued "1995.".
• catalog language "eng".
• catalog publisher "New York : Springer-Verlag,".
• catalog relation "Differential and Riemannian manifolds.".
• catalog subject "516.3/6 20".
• catalog subject "Differentiable manifolds.".
• catalog subject "QA614.3 .L34 1995".
• catalog subject "Riemannian manifolds.".
• catalog tableOfContents "Ch. I. Differential Calculus -- Ch. II. Manifolds -- Ch. III. Vector Bundles -- Ch. IV. Vector Fields and Differential Equations -- Ch. V. Operations on Vector Fields and Differential Forms -- Ch. VI. The Theorem of Frobenius -- Ch. VII. Metrics -- Ch. VIII. Covariant Derivatives and Geodesics -- Ch. IX. Curvature -- Ch. X. Volume Forms -- Ch. XI. Integration of Differential Forms -- Ch. XII. Stokes' Theorem -- Ch. XIII. Applications of Stokes' Theorem -- Appendix: The Spectral Theorem.".
• catalog title "Differential and Riemannian manifolds / Serge Lang.".
• catalog type "text".