Geometric Dynamics
By: by Constantin Udrişte
Series: Mathematics and Its Applications -- 513; Mathematics and Its Applications -- 513
Publisher: Springer Netherlands
Published: 2000
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 395
ISBN-13: 9789401058223; 9789401141871
Subjects: Global differential geometry; Mathematics; Mathematical optimization; Computer science
Description: 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. Primary audience: First-year graduate students in mathematics, mechanics, physics, engineering, biology, chemistry, economics. Part of the book can be used for undergraduate students. Secondary audience: The book is addressed also to professors and researchers whose work involves mathematics, mechanics, physics, engineering, biology, chemistry, and economics.
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