Book by Stuart David C
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Vendeur : Calendula Horticultural Books, Anacortes, WA, Etats-Unis
Hardcover. Etat : Very Good. Etat de la jaquette : Very Good. 1st Edition. 316 pages with 60 illustrations. Cloth w.dj. N° de réf. du vendeur 8565
Quantité disponible : 1 disponible(s)
Vendeur : World of Books (was SecondSale), Montgomery, IL, Etats-Unis
Hardback. Etat : Fair. This textbook focuses on the study of curves and surfaces, applying modern differential equation theory to geometric problems. By introducing isothermal parameters, it simplifies the fundamental equations of surface theory, leading to clear derivations of results like those of H Hopf and S Bernstein for surfaces of constant and vanishing mean curvature.Deviating from traditional approaches, the book first treats n-dimensional Riemannian spaces by a corresponding metric, then constructs Riemannian manifolds through transition conditions. The ultimate goal is to prove the Hadamard-Cartan theorem on the diffeomorphic character of the exponential mapping in Riemannian manifolds with nonpositive sectional curvature. By considering curves and surfaces in their optimal parametrization, the resulting ODEs and complex PDEs can be analytically solved, eliminating the need for intricate tensor calculus.The approach follows that of G Monge in his treatise L'Application de l'Analyse la G om trie, applying analytical techniques to geometric problems. Building on this foundation, the book uses modern theory of ODEs and PDEs to study the local and global results for curves and surfaces and their relevant curvatures. N° de réf. du vendeur 00103196833
Quantité disponible : 1 disponible(s)
Vendeur : World of Books (was SecondSale), Montgomery, IL, Etats-Unis
Hardback. Etat : Good. This textbook focuses on the study of curves and surfaces, applying modern differential equation theory to geometric problems. By introducing isothermal parameters, it simplifies the fundamental equations of surface theory, leading to clear derivations of results like those of H Hopf and S Bernstein for surfaces of constant and vanishing mean curvature.Deviating from traditional approaches, the book first treats n-dimensional Riemannian spaces by a corresponding metric, then constructs Riemannian manifolds through transition conditions. The ultimate goal is to prove the Hadamard-Cartan theorem on the diffeomorphic character of the exponential mapping in Riemannian manifolds with nonpositive sectional curvature. By considering curves and surfaces in their optimal parametrization, the resulting ODEs and complex PDEs can be analytically solved, eliminating the need for intricate tensor calculus.The approach follows that of G Monge in his treatise L'Application de l'Analyse la G om trie, applying analytical techniques to geometric problems. Building on this foundation, the book uses modern theory of ODEs and PDEs to study the local and global results for curves and surfaces and their relevant curvatures. N° de réf. du vendeur 00105980605
Quantité disponible : 2 disponible(s)
Vendeur : ThriftBooks-Dallas, Dallas, TX, Etats-Unis
Hardcover. Etat : Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less. N° de réf. du vendeur G0060160438I3N00
Quantité disponible : 1 disponible(s)
Vendeur : Better World Books, Mishawaka, IN, Etats-Unis
Etat : Good. 1ST. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. N° de réf. du vendeur 3072816-6
Quantité disponible : 1 disponible(s)
Vendeur : Better World Books: West, Reno, NV, Etats-Unis
Etat : Very Good. 1ST. Former library copy. Pages intact with possible writing/highlighting. Binding strong with minor wear. Dust jackets/supplements may not be included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. N° de réf. du vendeur 5515927-75
Quantité disponible : 1 disponible(s)
Vendeur : HPB-Movies, Dallas, TX, Etats-Unis
Hardcover. Etat : Very Good. Connecting readers with great books since 1972! Used books may not include companion materials, and may have some shelf wear or limited writing. We ship orders daily and Customer Service is our top priority! N° de réf. du vendeur S_233002722
Quantité disponible : 1 disponible(s)
Vendeur : BooksRun, Philadelphia, PA, Etats-Unis
Hardcover. Etat : Very Good. First Edition. With dust jacket. It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting. N° de réf. du vendeur 0060160438-11-1-29
Quantité disponible : 1 disponible(s)
Vendeur : World of Books Inc, Montgomery, IL, Etats-Unis
Hardback. Etat : Good. This textbook focuses on the study of curves and surfaces, applying modern differential equation theory to geometric problems. By introducing isothermal parameters, it simplifies the fundamental equations of surface theory, leading to clear derivations of results like those of H Hopf and S Bernstein for surfaces of constant and vanishing mean curvature.Deviating from traditional approaches, the book first treats n-dimensional Riemannian spaces by a corresponding metric, then constructs Riemannian manifolds through transition conditions. The ultimate goal is to prove the Hadamard-Cartan theorem on the diffeomorphic character of the exponential mapping in Riemannian manifolds with nonpositive sectional curvature. By considering curves and surfaces in their optimal parametrization, the resulting ODEs and complex PDEs can be analytically solved, eliminating the need for intricate tensor calculus.The approach follows that of G Monge in his treatise L'Application de l'Analyse la G om trie, applying analytical techniques to geometric problems. Building on this foundation, the book uses modern theory of ODEs and PDEs to study the local and global results for curves and surfaces and their relevant curvatures. N° de réf. du vendeur CIN0060160438G
Quantité disponible : 2 disponible(s)
Vendeur : World of Books Inc, Montgomery, IL, Etats-Unis
Hardback. Etat : Fair. This textbook focuses on the study of curves and surfaces, applying modern differential equation theory to geometric problems. By introducing isothermal parameters, it simplifies the fundamental equations of surface theory, leading to clear derivations of results like those of H Hopf and S Bernstein for surfaces of constant and vanishing mean curvature.Deviating from traditional approaches, the book first treats n-dimensional Riemannian spaces by a corresponding metric, then constructs Riemannian manifolds through transition conditions. The ultimate goal is to prove the Hadamard-Cartan theorem on the diffeomorphic character of the exponential mapping in Riemannian manifolds with nonpositive sectional curvature. By considering curves and surfaces in their optimal parametrization, the resulting ODEs and complex PDEs can be analytically solved, eliminating the need for intricate tensor calculus.The approach follows that of G Monge in his treatise L'Application de l'Analyse la G om trie, applying analytical techniques to geometric problems. Building on this foundation, the book uses modern theory of ODEs and PDEs to study the local and global results for curves and surfaces and their relevant curvatures. N° de réf. du vendeur CIN0060160438A
Quantité disponible : 1 disponible(s)