Name: Geometric Dynamics (en Inglés)
Price: 65.02 USD
Availability: InStock
Author: Udriste, C.
ISBN: 9789401058223

Formato

Libro Físico

Autor

C. Udriste

Editorial

Springer

Idioma

Inglés

N° páginas

395

Encuadernación

Tapa Blanda

Dimensiones

23.4 x 15.6 x 2.2 cm

Peso

0.58 kg.

ISBN13

9789401058223

Categorías

Medicina: cuestiones generales
Cálculo y análisis matemático
Matemáticas aplicadas

Geometric Dynamics (en Inglés)

C. Udriste (Autor) · Springer · Tapa Blanda

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Reseña del libro "Geometric Dynamics (en Inglés)"

Geometric dynamics is a tool for developing a mathematical representation of real world phenomena, based on the notion of a field line described in two ways: -as the solution of any Cauchy problem associated to a first-order autonomous differential system; -as the solution of a certain Cauchy problem associated to a second-order conservative prolongation of the initial system. The basic novelty of our book is the discovery that a field line is a geodesic of a suitable geometrical structure on a given space (Lorentz-Udri te world-force law). In other words, we create a wider class of Riemann-Jacobi, Riemann-Jacobi-Lagrange, or Finsler-Jacobi manifolds, ensuring that all trajectories of a given vector field are geodesics. This is our contribution to an old open problem studied by H. Poincare, S. Sasaki and others. From the kinematic viewpoint of corpuscular intuition, a field line shows the trajectory followed by a particle at a point of the definition domain of a vector field, if the particle is sensitive to the related type of field. Therefore, field lines appear in a natural way in problems of theoretical mechanics, fluid mechanics, physics, thermodynamics, biology, chemistry, etc.