Geometric Dynamics /
The theme of this book is the philosophy that any particle flow generates a particle dynamics, in a suitable geometrical framework. It introduces the reader in a gradual and accessible manner to this subject, covering topics that include: geometrical and physical vector fields; field lines; flows; s...
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht :
Springer Netherlands : Imprint : Springer,
2000.
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| Series: | Mathematics and its applications ;
513. |
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | The theme of this book is the philosophy that any particle flow generates a particle dynamics, in a suitable geometrical framework. It introduces the reader in a gradual and accessible manner to this subject, covering 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 behavior. <br/> <em>Primary audience:</em> First-year graduate students in mathematics, mechanics, physics, engineering, biology, chemistry, economics. Part of the book can be used for undergraduate students. <em>Secondary audience:</em> The book is addressed also to professors and researchers whose work involves mathematics, mechanics, physics, engineering, biology, chemistry, and economics. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (412 pages) |
| ISBN: | 9789401141871 (electronic bk.) 9401141878 (electronic bk.) |