Warehouse Stock Clearance Sale

Grab a bargain today!


Sign Up for Fishpond's Best Deals Delivered to You Every Day
Go
Covariance and Gauge ­Invariance of Lagrangian in­ Continuum Physics
Application to Mechanics, Gravitation, and Electromagnetism (Progress in Mathematical Physics)

Rating
Format
Hardback, 325 pages
Other Formats Available

Paperback : £80.38

Published
Switzerland, 12 July 2018

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.


General introduction.- Basic concepts on manifolds, spacetimes, and calculus of variations.- Covariance of Lagrangian density function.- Gauge invariance for gravitation and gradient continuum.- Topics in continuum mechanics and gravitation.- Topics in gravitation and electromagnetism.- General conclusion.- Annexes


Show more

Our Price
£94.12
Elsewhere
£99.99
Save £5.87 (6%)
Ships from UK Estimated delivery date: 11th Feb - 13th Feb from UK

Buy Together
+
Buy together with Covariance and Gauge Invariance in Continuum Physics at a great price!
Buy Together
£174.50

Product Description

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.


General introduction.- Basic concepts on manifolds, spacetimes, and calculus of variations.- Covariance of Lagrangian density function.- Gauge invariance for gravitation and gradient continuum.- Topics in continuum mechanics and gravitation.- Topics in gravitation and electromagnetism.- General conclusion.- Annexes


Show more
Product Details
EAN
9783319917818
ISBN
3319917811
Publisher
Age Range
Dimensions
23.4 x 15.6 x 2.1 centimeters (0.50 kg)

Table of Contents

General introduction.- Basic concepts on manifolds, spacetimes, and calculus of variations.- Covariance of Lagrangian density function.- Gauge invariance for gravitation and gradient continuum.- Topics in continuum mechanics and gravitation.- Topics in gravitation and electromagnetism.- General conclusion.- Annexes

Review this Product
Ask a Question About this Product More...
 
Look for similar items by category
Item ships from and is sold by Fishpond World Ltd.

Back to top
We use essential and some optional cookies to provide you the best shopping experience. Visit our cookies policy page for more information.