Name: the geometry of lagrange spaces: theory and applications (en Inglés)
Price: 6569.00 UYU
Availability: InStock
Author: anastasiei,miron
ISBN: 9780792325918

portada the geometry of lagrange spaces: theory and applications (en Inglés)

the geometry of lagrange spaces: theory and applications (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

anastasiei,miron

Idioma

Inglés

N° páginas

304

ISBN

0792325915

ISBN13

9780792325918

Categorías

Matemáticas aplicadas

the geometry of lagrange spaces: theory and applications (en Inglés)

Anastasiei,Miron (Autor) · Springer · Libro Físico

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Reseña del libro "the geometry of lagrange spaces: theory and applications (en Inglés)"

differential-geometric methods are gaining increasing importance in the understanding of a wide range of fundamental natural phenomena. very often, the starting point for such studies is a variational problem formulated for a convenient lagrangian. from a formal point of view, a lagrangian is a smooth real function defined on the total space of the tangent bundle to a manifold satisfying some regularity conditions. the main purpose of this book is to present: (a) an extensive discussion of the geometry of the total space of a vector bundle; (b) a detailed exposition of lagrange geometry; and (c) a description of the most important applications. new methods are described for construction geometrical models for applications. the various chapters consider topics such as fibre and vector bundles, the einstein equations, generalized einstein--yang--mills equations, the geometry of the total space of a tangent bundle, finsler and lagrange spaces, relativistic geometrical optics, and the geometry of time-dependent lagrangians. prerequisites for using the book are a good foundation in general manifold theory and a general background in geometrical models in physics. for mathematical physicists and applied mathematicians interested in the theory and applications of differential-geometric methods.