Spherical Harmonics and Tensors for Classical Field Theory (Electronic & Electrical Engineering Research Studies: Applied & Engineering Mathematics)

 
9780863800283: Spherical Harmonics and Tensors for Classical Field Theory (Electronic & Electrical Engineering Research Studies: Applied & Engineering Mathematics)
View all copies of this ISBN edition:
 
 

Presents the theory of spherical harmonics in a form suitable for the analysis of non-separable, nonlinear, partial differential equations, defined in a spherical or infinite domain. Describes and develops those aspects of group theory that are relevant to classical field theory. Each harmonic is labeled by a particular irreducible representation of the three-dimensional rotation group. Shows how to apply tensor harmonic techniques to all branches of classical field theory, including fluid mechanics, electromagnetism, geophysics and the atmospheric sciences.

"synopsis" may belong to another edition of this title.

Synopsis:

Classical applied mathematics and theoretical physics owe much to the influence of quantum mechanics in the development and application of a wide range of theoretical techniques. It is only relatively recently that group theory, which has always played a fundamental role in quantum theory, has been applied to problems in classical field theory. This book describes and develops those aspects of group theory which are especially relevant to classical field theory, with particular reference to systems with spherical symmetry. In order to establish a perspective, a specific partial differential equation of fluid mechanics, well known in meteorology, is considered in detail, using traditional methods. The elements of formal group theory are then presented in Chapter 2. The rotation group, which plays a fundamental role in the present approach, is considered in Chapter 3. In Chapter 4, the theory is extended to permit the tensor spherical harmonic to be defined.

The remaining chapters consider specific techniques, for example multipole moments and Green functions, which are relevant to all branches of classical field theory, including fluid mechanics, electromagnetism, geophysics and the atmospheric sciences. Applications of the theory to some of these areas are considered in the final chapters.

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Michael Norman Jones
Published by Research Studies Press Letchword. (1985)
ISBN 10: 0863800289 ISBN 13: 9780863800283
Used Quantity Available: 1
Seller:
Better World Books
(Mishawaka, IN, U.S.A.)
Rating
[?]

Book Description Research Studies Press Letchword., 1985. Condition: Very Good. Former Library book. Great condition for a used book! Minimal wear. Seller Inventory # GRP36005903

More information about this seller | Contact this seller

Buy Used
6.62
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds