Differential geometry and the calculus of variations /
Clasificación: | Libro Electrónico |
---|---|
Otros Autores: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Amsterdam :
Elsevier Science,
1968.
|
Colección: | Mathematics in science and engineering ;
v. 49. |
Temas: | |
Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
LEADER | 00000cam a2200000 a 4500 | ||
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001 | SCIDIR_ocn428097391 | ||
003 | OCoLC | ||
005 | 20231117032818.0 | ||
006 | m o d | ||
007 | cr cn||||||||| | ||
008 | 090728s1968 ne ob 001 0 eng d | ||
040 | |a OPELS |b eng |e pn |c OPELS |d BTCTA |d OCLCQ |d OPELS |d OCLCF |d OCLCQ |d DEBSZ |d LEAUB |d S2H |d OCLCO |d OCLCQ |d OCLCO | ||
019 | |a 441137885 | ||
020 | |a 9780123421500 | ||
020 | |a 0123421500 | ||
035 | |a (OCoLC)428097391 |z (OCoLC)441137885 | ||
050 | 4 | |a QA641 |b .D54 1968 | |
082 | 0 | 4 | |a 516.3/6 |2 22 |
245 | 0 | 0 | |a Differential geometry and the calculus of variations / |c [edited by] Robert Hermann. |
260 | |a Amsterdam : |b Elsevier Science, |c 1968. | ||
300 | |a 1 online resource (vii, 440 pages) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
490 | 1 | |a Mathematics in Science and Engineering ; |v v. 49 | |
505 | 0 | |a Tangent vector-vector field formalism -- Differential forms -- Specialization to euclidean spaces : differential manifolds -- Mappings, submanifolds, and the implicit function theorem -- Jacobi bracket and the lie theory of ordinary differential equations -- Frobenius complete integrability theorem -- Reduction of dimension when a lie algebra of vector fields leaves a vector-fields invariant -- Lie groups -- Classical mechanics of particles and continua -- Differential forms and variational problems -- Hamilton-Jacobi theory -- Extremal fields and sufficient conditions for a minimum -- Ordinary problems of the calculus of variations -- Groups of symmetries of variational problems : applications to mechanics -- Elliptic functions -- Accessibility problems for path systems -- Affine connections on differential manifolds -- Rinmannian affine connection and the first variation formula -- Hopf-Rinow theorem applications to the theory of covering spaces -- Second variation formula and Jacobi vector fields -- Sectional curvature and the elementary comparision theorems -- Submanifolds of Riemannian manifolds -- Groups of isometries -- Deformation of submanifolds in Riemannian spaces -- First-order invariants of submanifolds and convexity for affinely connected manifolds -- Affine groups of automorphisms, induced connections on submanifolds, projective changes of connection -- Laplace-Beltrami operator -- Characteristics and shock waves -- Morse index theorem -- Complex manifolds and their submanifolds -- Mechanics on Riemannian manifolds. | |
504 | |a Includes bibliographical references and index. | ||
588 | 0 | |a Print version record. | |
650 | 0 | |a Geometry, Differential. | |
650 | 0 | |a Calculus of variations. | |
650 | 6 | |a G�eom�etrie diff�erentielle. |0 (CaQQLa)201-0001184 | |
650 | 6 | |a Calcul des variations. |0 (CaQQLa)201-0001183 | |
650 | 7 | |a Calculus of variations |2 fast |0 (OCoLC)fst00844140 | |
650 | 7 | |a Geometry, Differential |2 fast |0 (OCoLC)fst00940919 | |
700 | 1 | |a Hermann, Robert, |d 1931- | |
830 | 0 | |a Mathematics in science and engineering ; |v v. 49. | |
856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780123421500 |z Texto completo |
856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/00765392/49 |z Texto completo |
856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=00765392&volume=49 |z Texto completo |