Geometric Dynamics
Seiten
2000
Kluwer Academic Publishers (Verlag)
978-0-7923-6401-6 (ISBN)
Kluwer Academic Publishers (Verlag)
978-0-7923-6401-6 (ISBN)
- Titel ist leider vergriffen;
keine Neuauflage - Artikel merken
This text covers the philosophy that any particle flow generates a particle dynamics, in a suitable geometrical framework. It covers topics that include: geometrical and physical vector fields; field lines; flows; stability of equilibrium points; and potential systems and catastrophe geometry.
The theme of this text is the philosophy that any particle flow generates a particle dynamics, in a suitable geometrical framework. It covers topics that include: geometrical and physical vector fields; field lines; flows; stability of equilibrium points; potential systems and catastrophe geometry; field hypersurfaces; bifurcations; distribution orthogonal to a vector field; extrema with nonholonomic constraints; thermodynamic systems; energies; geometric dynamics induced by a vector field; magnetic fields around piecewise rectilinear electric circuits; geometric magnetic dynamics; and granular materials and their mechanical behaviour. The text should be useful for first-year graduate students in mathematics, mechanics, physics, engineering, biology, chemistry, and economics. It can also be addressed to professors and researchers whose work involves mathematics, mechanics, physics, engineering, biology, chemistry, and economics.
The theme of this text is the philosophy that any particle flow generates a particle dynamics, in a suitable geometrical framework. It covers topics that include: geometrical and physical vector fields; field lines; flows; stability of equilibrium points; potential systems and catastrophe geometry; field hypersurfaces; bifurcations; distribution orthogonal to a vector field; extrema with nonholonomic constraints; thermodynamic systems; energies; geometric dynamics induced by a vector field; magnetic fields around piecewise rectilinear electric circuits; geometric magnetic dynamics; and granular materials and their mechanical behaviour. The text should be useful for first-year graduate students in mathematics, mechanics, physics, engineering, biology, chemistry, and economics. It can also be addressed to professors and researchers whose work involves mathematics, mechanics, physics, engineering, biology, chemistry, and economics.
Preface. 1. Vector Fields. 2. Particular Vector Fields. 3. Field Lines. 4. Stability of Equilibrium Points. 5. Potential Differential Systems of Order One and Catastrophe Theory. 6. Field Hypersurfaces. 7. Bifurcation Theory. 8. Submanifolds Orthogonal to Field Lines. 9. Dynamics Induced by a Vector Field. 10. Magnetic Dynamical Systems and Sabba Stefanescu Conjectures. 11. Bifurcations in the Mechanics of Hypoelastic Granular Materials; L. Dragusin. Bibliography. Index.
| Erscheint lt. Verlag | 31.7.2000 |
|---|---|
| Reihe/Serie | Mathematics and its Applications ; v. 513 |
| Zusatzinfo | bibliography, index |
| Sprache | englisch |
| Einbandart | gebunden |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| ISBN-10 | 0-7923-6401-5 / 0792364015 |
| ISBN-13 | 978-0-7923-6401-6 / 9780792364016 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Buch | Softcover (2024)
Springer Vieweg (Verlag)
CHF 62,95
Anwendungen und Theorie von Funktionen, Distributionen und Tensoren
Buch | Softcover (2023)
De Gruyter Oldenbourg (Verlag)
CHF 97,90
