The Geometry of Lagrange Spaces: Theory and Applications (inbunden)
Fler böcker inom
Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
289
Utgivningsdatum
1993-11-01
Upplaga
1994 ed.
Förlag
Springer
Medarbetare
Anastasiei, Mihai
Illustrationer
XIV, 289 p.
Dimensioner
234 x 156 x 18 mm
Vikt
604 g
Antal komponenter
1
Komponenter
1 Hardback
ISBN
9780792325918
The Geometry of Lagrange Spaces: Theory and Applications (inbunden)

The Geometry of Lagrange Spaces: Theory and Applications

Inbunden Engelska, 1993-11-01
2099
Skickas inom 10-15 vardagar.
Fri frakt inom Sverige för privatpersoner.
Finns även som
Visa alla 2 format & utgåvor
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.
Visa hela texten

Passar bra ihop

  1. The Geometry of Lagrange Spaces: Theory and Applications
  2. +
  3. The Geometry of Higher-Order Lagrange Spaces

De som köpt den här boken har ofta också köpt The Geometry of Higher-Order Lagrange Spaces av R Miron (häftad).

Köp båda 2 för 4828 kr

Kundrecensioner

Har du läst boken? Sätt ditt betyg »

Fler böcker av författarna

Bloggat om The Geometry of Lagrange Spaces: Theory a...

Innehållsförteckning

I. Fibre Bundles, General Theory. II. Connections in Fibre Bundles. III. Geometry of the Total Space of a Vector Bundle. IV. Geometrical Theory of Embeddings of Vector Bundles. V. Einstein Equations. VI. Generalized Einstein--Yang--Mills Equations. VII. Geometry of the Total Space of a Tangent Bundle. VIII. Finsler Spaces. IX. Lagrange Spaces. X. Generalized Lagrange Space. XI. Applications of the GLn Spaces with the Metric Tensor e2sigma(x,y)gammaij(x,y). XII. Relativistic Geometrical Optics. XIII. Geometry of Time Dependent Lagrangians. Bibliography. Index.