LAUTECH

Covariance and Gauge Invariance in Continuum Physics : (Record no. 38349)

MARC details
000 -LEADER
fixed length control field 01841cam a22002295i 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 180704s2018 gw |||| o |||| 0|eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783030062989
100 1# - MAIN ENTRY--AUTHOR
Author Rakotomanana, RLalaonirina,
245 10 - TITLE STATEMENT
Title Covariance and Gauge Invariance in Continuum Physics :
Remainder of title Application to Mechanics, Gravitation, and Electromagnetism /
Statement of responsibility, etc by Lalaonirina R. Rakotomanana.
250 ## - EDITION STATEMENT
Edition statement .
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Switzerland
Name of publisher Birkhauser
Date of publication 2020
300 ## - PHYSICAL DESCRIPTION
Pagination xi, 325 p.;
Other physical details ill.;
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Series Title Progress in mathematical Physics
520 ## - SUMMARY, ETC.
Summary, etc This book presents a Lagrangian approach model to formulate various fields of continuum physics, ranging from gradient continuum elasticity to relativistic gravito-electromagnetism. It extends the classical theories based on Riemann geometry to Riemann-Cartan geometry, and then describes non-homogeneous continuum and spacetime with torsion in Einstein-Cartan relativistic gravitation. It investigates two aspects of invariance of the Lagrangian: covariance of formulation following the method of Lovelock and Rund, and gauge invariance where the active diffeomorphism invariance is considered by using local Poincaré gauge theory according to the Utiyama method. Further, it develops various extensions of strain gradient continuum elasticity, relativistic gravitation and electromagnetism when the torsion field of the Riemann-Cartan continuum is not equal to zero. Lastly, it derives heterogeneous wave propagation equations within twisted and curved manifolds and proposes a relation between electromagnetic potential and torsion tensor.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term Mathematical physics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term Mechanics, Applied.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term Mechanics.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term Mathematical Physics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term Solid Mechanics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term Theoretical, Mathematical and Computational Physics.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Item type Books
Holdings
Source of classification or shelving scheme Not for loan Home library Current library Shelving location Date acquired Mode of acquisition Full call number Accen. No. Koha item type
Library of Congress Classification   OLUSEGUN OKE LIBRARY LAUTECH OLUSEGUN OKE LIBRARY LAUTECH   08/05/2024 Gift QC173.7 .R35 2020 00048541 Books