عنوان

Jet single-time Lagrange geometry and its applications

Country Code

IR

Number

E-6128

.Language of Text, Soundtrack etc

انگلیسی

Country of publication

IR

Title Proper

Jet single-time Lagrange geometry and its applications

General Material Designation

[Book]

First Statement of Responsibility

/ Vladimir Balan, Mircea Neagu

Place of Publication, Distribution, etc.

Hoboken, N.J.

Name of Publisher, Distributor, etc.

: John Wiley & Sons,

Date of Publication, Distribution, etc.

, c2011.

Specific Material Designation and Extent of Item

xv, 194 p. , ill. , 25 cm.

Text of Note

Print

Text of Note

Includes bibliographical references and index.

Text of Note

"This book describes the main geometrical and physical aspects that differentiate two geometrical theories: the presented jet relativistic time-dependent Lagrangian geometry and the classical time-dependent Lagrangian geometry. An emphasis on the jet transformation group of the first approach is more general and natural than the transformation group used in the second approach, mainly due to the fact that the last approach ignores temporal reparametrizations. In addition, the presented transformation group is appropriate for the construction of corresponding relativistic time-dependent Lagrangian geometrical field theories (gravitational and electromagnetic). The developed theory is further illustrated with numerous applications in mathematics, theoretical physics (including electrodynamics, relativity, and electromagnetism), atmospheric physics, economics, and theoretical biology. The geometrical Maxwell and Einstein equations presented in the book naturally generalize the already classical Maxwell and Einstein equations from the Miron-Anastasiei theory. The extended geometrical Einstein equations that govern the jet single-time Lagrange gravitational theory are canonical, and the electromagnetic d-tensor is produced from the metrical deflection d-tensors, all preceding entities being derived only from the given jet Lagrangian via its attached Cartan canonical Gamma-linear connection. The basic elements of the Kosambi-Cartan-Chern theory on the 1-jet space that extend the KCC tangent space approach are featured at the end of the book. Chapters are written in an introductory and gradual manner and contain numerous examples and open problems. An index of notions makes the main concepts of the theory and of the applications easy to locate"--Provided by publisher.

Geometry, Differential

Lagrange equations

Field theory (Physics)

Class number

Book number

Balan, Vladimir,1958-

Neagu, Mircea,1973-

Country

ایران

old catalog

p

BL

1

a

Y