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4 produkter
4 produkter
Del 59 - Fundamental Theories of Physics
Geometry of Lagrange Spaces: Theory and Applications
Inbunden, Engelska, 1993
1 589 kr
Skickas inom 10-15 vardagar
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, relatiistic 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.This text is aimed at mathematical physicists and applied mathematicians interested in the theory and applications of differential-geometric methods.
Finsler and Lagrange Geometries
Proceedings of a Conference held on August 26–31, Iaşi, Romania
Inbunden, Engelska, 2003
1 062 kr
Skickas inom 10-15 vardagar
This text gives the most recent results in Finsler and related geometries from the Miron school. Both pure and applied topics are covered, including: higher-order geometry, Hamilton and Cartan spaces, Legendre transformations, self-duality in Gauge fields, constant curvature spaces, electromagnetics, gravity theory, black holes, complex Finsler geometry and Finsler-Lagrange-Hamilton structures in control and optimization. There is also an article on Finsler Seismic ray theory which uses the software Finsler based on MAPLE.
Finsler and Lagrange Geometries
Proceedings of a Conference held on August 26–31, Iaşi, Romania
Häftad, Engelska, 2010
1 062 kr
Skickas inom 10-15 vardagar
This text gives the most recent results in Finsler and related geometries from the Miron school. Both pure and applied topics are covered. For example Higher-Order geometry, Hamilton and Cartan spaces, Legendre transformations, self-duality in Gauge fields, constant curvature spaces, Electromagnetics, Gravity theory, Black Holes, complex Finsler geometry and Finsler-Lagrange-Hamilton structures in control and optimization. There is also an article on Finsler Seismic ray theory which uses the software FINSLER based on MAPLE.
Del 59 - Fundamental Theories of Physics
Geometry of Lagrange Spaces: Theory and Applications
Häftad, Engelska, 2012
1 589 kr
Skickas inom 10-15 vardagar
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.