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Mechanics, analysis and geometry : 200 years after Lagrange /
Providing a logically balanced and authoritative account of the different branches and problems of mathematical physics that Lagrange studied and developed, this volume presents up-to-date developments in differential goemetry, dynamical systems, the calculus of variations, and celestial and analyti...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York : New York, N.Y., U.S.A. :
North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1991.
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| Colección: | North-Holland delta series.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 0 | 0 | |a Mechanics, analysis and geometry : |b 200 years after Lagrange / |c edited by Mauro Francaviglia. |
| 260 | |a Amsterdam ; |a New York : |b North-Holland ; |a New York, N.Y., U.S.A. : |b Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., |c 1991. | ||
| 300 | |a 1 online resource | ||
| 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 North-Holland delta series | |
| 504 | |a Includes bibliographical references and index. | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 520 | |a Providing a logically balanced and authoritative account of the different branches and problems of mathematical physics that Lagrange studied and developed, this volume presents up-to-date developments in differential goemetry, dynamical systems, the calculus of variations, and celestial and analytical mechanics. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Mechanics, Analysis and Geometry: 200 Years after Lagrange; Copyright Page; Foreword; Table of Contents; Part I: DYNAMICAL SYSTEMS; Chapter 1. Periodic Solutions near the Lagrange Equilibrium Points in the Restricted Three-Body Problem, for Mass Ratios near; 1. Introduction; 2. A lemma on commuting vector fields; 3. Application to hamiltonian systems; 4. Application to the restricted three-body problem; References; Chapter 2. Lower Bound on the Dimension of the Attractor for the Navier-Stokes Equations in Space Dimension 3; 1. Introduction; 2. The two dimensional case. | |
| 505 | 8 | |a 3. The three dimensional case4. Comparisons between u p per bounds and lower bounds; 5. Some inequalities (Appendix 1); 6. Upperbound of the dimension of the attractor in the 2D case (Appendix 2); 7. On the Orr-Sommerfeld equation (Appendix 3); References; Chapter 3. Homoclinic Chaos for Ray Optics in a Fiber: 200 Years after Lagrange; 1. Introduction; 2. Axisymmetric, Translation-Invariant Media; 3. Effects of Perturbations of The Refractive Index; Acknowledgements; References; Chapter 4. On the Vortex-Wave System; 1. Introduction; 2. Existence; 3. Many Vortices. | |
| 505 | 8 | |a 4. Uniqueness, Regularity and Final RemarksReferences; Part II: INTEGRABLE SYSTEMS AND QUANTUM GROUPS; Chapter 5. The Averaging Procedure for the Soliton-Like Solutions of Integrable Systems; 1. The general scheme; 2. The multiphase solutions of Benjamin-Ono equation; 3. Whithem equations; 4. The TLW equation; References; Chapter 6. A New Topological Invariant of Topological Hamiltonian Systems of Differential Equations and Applications to Probl; Definition; Statement 1; Statement 2; Theorem 1; Corollary; Statement 3; Theorem 2; Theorem 3; Statement 4; Proposition; Theorem 4; Theorem 5; Corollary. | |
| 505 | 8 | |a RemarkTheorem 6; Definition; Corollary; Theorem 7; Statement 5; Remark; Theorem 8; Definition; Theorem 9; Statement 6; References; Chapter 7. On the Lie Algebra of Motion Integrals for Two-Dimensional Hydrodynamic Equations in Clebsh Variables; 1 Two-dimensional in compressible hydrodynamics; 2 Clebsh variables and geometric integrals; 3 On the algebra of geometrical integrals; 4 The compressible hydrodynamics; 5 The integrable example; 6 The generalconstruction; References; Chapter 8. Quasiclassical Limit of Quantum Matrix Groups; 1. Introduction; 2. The Jacobi Identities. | |
| 505 | 8 | |a 3. Determinant Belongs to the Poisson Centre4. Comultiplication is a Poisson Map; Acknowledgement; References; Part III: ANALYTICAL MECHANICS AND CALCULUS OF VARIATIONS; Chapter 9. A Multisymplectic Framework for Classical Field Theory and the Calculus of Variations: I. Covariant Hamiltonian For; 1. Introduction; 2 Background; 3 Cartan Forms and Lepagean Equivalents; 4 Covariant Hamiltonian Formalism; 5 Regularity; 6 Special Cases; 7 Prospects; Acknowledgements; Appendix; References. | |
| 650 | 0 | |a Mechanics, Analytic. | |
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 0 | |a Geometry. | |
| 650 | 6 | |a M�ecanique analytique. |0 (CaQQLa)201-0023814 | |
| 650 | 6 | |a Analyse math�ematique. |0 (CaQQLa)201-0001156 | |
| 650 | 6 | |a G�eom�etrie. |0 (CaQQLa)201-0007174 | |
| 650 | 7 | |a geometry. |2 aat |0 (CStmoGRI)aat300054529 | |
| 650 | 7 | |a SCIENCE |x Mechanics |x General. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Mechanics |x Solids. |2 bisacsh | |
| 650 | 7 | |a Geometry. |2 fast |0 (OCoLC)fst00940864 | |
| 650 | 7 | |a Mathematical analysis. |2 fast |0 (OCoLC)fst01012068 | |
| 650 | 7 | |a Mechanics, Analytic. |2 fast |0 (OCoLC)fst01013485 | |
| 650 | 7 | |a Theoretische Mechanik |2 gnd |0 (DE-588)4185100-6 | |
| 650 | 7 | |a Aufsatzsammlung |2 gnd |0 (DE-588)4143413-4 | |
| 650 | 7 | |a Mathematische Physik |2 gnd |0 (DE-588)4037952-8 | |
| 650 | 7 | |a Rezeption |2 gnd |0 (DE-588)4049716-1 | |
| 650 | 7 | |a Lagrange-Mannigfaltigkeit |2 gnd |0 (DE-588)4212799-3 | |
| 650 | 7 | |a Mathematik |2 gnd |0 (DE-588)4037944-9 | |
| 650 | 7 | |a M�ecanique analytique. |2 ram | |
| 650 | 7 | |a Analyse math�ematique. |2 ram | |
| 650 | 7 | |a G�eom�etrie. |2 ram | |
| 600 | 1 | 7 | |a Lagrange, Joseph Louis de. |2 swd |
| 653 | |a Mechanics | ||
| 700 | 1 | |a Francaviglia, M. | |
| 776 | 0 | 8 | |i Print version: |t Mechanics, analysis and geometry. |d Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1991 |z 9780444889584 |w (DLC) 90026313 |w (OCoLC)22906518 |
| 830 | 0 | |a North-Holland delta series. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444889584 |z Texto completo |